<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>M. Abd Nikooie Pour);</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>P-Onto: an ontology for powder bed fusion additive manufacturing processes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mina Abd Nikooie Pour</string-name>
          <email>mina.abd.nikooie.pour@liu.se</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Prithwish Tarafder</string-name>
          <email>prithwish.tarafder@liu.se</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anton Wiberg</string-name>
          <email>anton.wiberg@liu.se</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Huanyu Li</string-name>
          <email>huanyu.li@liu.se</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Johan Moverare</string-name>
          <email>johan.moverare@liu.se</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Patrick Lambrix</string-name>
          <email>patrick.lambrix@liu.se</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Ontology, Additive Manufacturing Process, Powder Bed Fusion, Electron Beam Powder Bed Fusion</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer and Information Science, Linköping University</institution>
          ,
          <addr-line>Linköping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Management and Engineering, Linköping University</institution>
          ,
          <addr-line>Linköping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Swedish e-Science Research Centre, Linköping University</institution>
          ,
          <addr-line>Linköping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Wallenberg AI, Autonomous Systems and Software Program, Linköping University</institution>
          ,
          <addr-line>Linköping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Wallenberg Initiative Materials Science for Sustainability, Linköping University</institution>
          ,
          <addr-line>Linköping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>https://liu.se/en/employee/minab62 (M. Abd Nikooie Pour); https://liu.se/en/employee/prita53</institution>
          ,
          <addr-line>P. Tarafder</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1881</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Additive manufacturing is an innovative production approach aimed at creating products that traditional techniques cannot produce with the desired quality and requirements. Throughout the additive manufacturing process, data is either used (such as materials properties, printer characteristics and settings) or generated (such as monitoring data during printing, slicing strategies setting parameters). However, managing such data with complex relationships remains a significant challenge in both research and industry in the additive manufacturing field. To address this issue, we developed a modular ontology that can be used as the basis for a framework that supports decision-making systems, facilitate semanticsaware data management, and enhance the understanding and optimization of additive manufacturing processes. In this paper we focus on one of the state-of-the-art additive manufacturing approaches, i.e., powder bed fusion. To show the use and the feasibility of our approach, we created a knowledge graph for an actual additive manufacturing experiment based on our ontology, and show how queries relevant to domain experts can be answered using this knowledge graph.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>
        Additive Manufacturing (AM), also known as 3D printing, is a production method to create
three-dimensional objects based on respective 3D models in an automatic way. There are several
benefits to use AM for manufacturing [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The 3D model design can be easily modified based
nEvelop-O
LGOBE
on requirements, manufacturing constraints and be shared as a digital model. Furthermore,
it is reasonable to create a limited number of product samples using AM (e.g. for research
purposes), whereas establishing an entire production line with dedicated tools using traditional
manufacturing techniques may not be practical. Also, it may be easier to meet sustainability
goals.
      </p>
      <p>
        To print 3D models with high quality and resolutions, diferent AM methods were developed,
such as Fused Deposition Modeling (FDM), Powder Bed Fusion (PBF), Inkjet printing and contour
crafting , and Stereolithography (SLA) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The choice of method for AM depends on several
factors, including the material used for printing, the desired quality, and any constraints during
production (such as whether the model can be printed with or without adding a support part
based on the printing angle). In this paper, our focus lies on Electron Beam Powder Bed Fusion
(EB-PBF). EB-PBF represents a state-of-the-art technology that leverages a focused electron
beam to melt and fuse metal powder layers [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. This method ofers several advantages, including
the capability to fabricate intricate geometries with high precision and exceptional material
properties. Notably, the electron beam technique is well-suited for processing high-temperature
metals and alloys (e.g., stainless steel), rendering it indispensable in industries such as aerospace,
automotive, and medicine.
      </p>
      <p>
        Typically, AM processes follow a number of steps, which may be diferent for diferent
AM techniques. Some common steps are: (1) designing digital models using Computer-Aided
Design (CAD) software, (2) configuring parameters such as printing angle and speed using slicing
software, (3) the actual printing using 3D printing machines, and (4) inspecting and testing the
printed objects. During each step, diferent types of data are used and generated [
        <xref ref-type="bibr" rid="ref4 ref5 ref6">4, 5, 6</xref>
        ]. For
instance, data representing a 3D model is generated by CAD software in the design step and
used for configuring printing parameters by slicing software. However, there is no standardized
way to store and format such data. Also, data in materials science and engineering is frequently
sparse or incomplete [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. For instance, metadata and provenance information is often lacking
when storing information about AM experiments. Therefore, standardized formats may guide
how to store data as well as provide information about what data is lacking. Further, it would
allow for the development of design and analysis tools that would alleviate the design and quality
assurance of AM products. Further, there is no formal model based on domain knowledge to
represent and interpret such data. These issues bring challenges in semantics-aware data search
and data analytics applications. They also relate to the FAIR (Findable, Accessible, Interoperable,
and Reusable) principles [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ] which aim to enable machines to automatically find and use the
data, and help individuals easily reuse the data.
      </p>
      <p>Ontologies can address these issues by formally representing domain knowledge in AM.
Therefore, in this paper we propose a first version of a modular ontology, PBF-AMP-Onto, for
PBF processes. We describe the ontology and its development in Section 3. We created two
modules: one with core concepts for PBF and a specialized module for EB-PBF. Further, in
Section 4.1 we show how a knowledge graph (KG) based on the ontology can be used to describe
a particular 3D printing experiment for printing screws. We also exemplify how this KG can
be queried to find information about, e.g., the sub-processes and materials in this experiment
which are relevant to the experiment developers. We describe related work in Section 2, and
conclude the paper Section 5.</p>
      <p>The ontology, KG and queries that are described in this paper are available at https://github.
com/LiUSemWeb/PBF-AMP-Onto.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Related work</title>
      <p>Although much research has been performed regarding the modeling of processes in general,
for the sake of brevity, we focus here on related work in the AM domain.</p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] AM ontologies are categorized based on whether they contain information on products,
processes, resources and parameters. The authors also define the upper levels of an AM ontology
based on these concepts.
      </p>
      <p>
        The Platform Material Digital Core Ontology (PMDco) [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] is a mid-level ontology that aims to
bridge semantic gaps between high-level materials science and engineering-specific, and other
science domain semantics. It defines processes, processing nodes which execute processes, and
objects which are inputs and outputs to processes. These core concepts can then be further
specialized for diferent types of processes.
      </p>
      <p>
        The Additive Manufacturing Ontology (AMOntology) attempts to model the knowledge and
terminology within Metal AM [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. As diferent types of laser beam models produce diferent
heat distribution and flux, and diferent thermal models use diferent analyses, AMOntology
represents relationships between AM modeling parameters regarding diferent laser, thermal,
microstructural, and mechanical property models for metal-based AM. The ontology can be
used for process control and predicting efects of changes.
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], the Innovative Capabilities of Additive Manufacturing (ICAM) ontology is presented.
It is based on a review of AM manufacturers and machines that identified the capabilities that
they possess. These capabilities can relate to such things as fabrication method, manufacturing
scale and shapes. This knowledge can be used to find, e.g., machines that allow for printing
products with specific properties.
      </p>
      <p>
        The Design for Additive Manufacturing Ontology (DFAM Ontology) [13] aims to represent
knowledge needed in a general fabrication scenario. A process is represented by an AM event.
Diferent parameters for things such as builds, design and processes are concepts on their
own. Similarly, parts are represented as concepts. We make other choices as these are better
represented as relations and there seem to be confusions between is-a and part-of [
        <xref ref-type="bibr" rid="ref10">14, 10</xref>
        ]. For
instance, an object becomes a part only in relation to another object. It is often not an inherent
property of the object. Another DFAM ontology is presented in [15] with processes, capabilities,
features and parameters.
      </p>
      <p>
        Our work aims to represent knowledge about PBF printing processes to guide the storage
and analysis of AM process data. The closest works to this paper are [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. We specialize
the process concepts in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] by focusing on PBF printing. Further, our ontology has a larger
focus on the sub-processes of the AM process than [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>3. Ontology development</title>
      <p>We employed the NeOn ontology engineering methodology [16] to develop our modular
ontology. This approach allows for the flexible extension of the ontology to accommodate various
future scenarios. A team of knowledge engineers and domain experts collaborated to gather
requirements and gain insights into the specific needs of the AM field. There are many AM
techniques with diferent sub-processes and strategies. Therefore, we decided to model the AM
domain knowledge in a modular way. We chose to start with PBF and in particular EB-PBF, as
it is a state-of-the-art technique and our results will be directly applicable in the development
of databases and KGs in ongoing research in EB-PBF.</p>
      <p>We used Protégé1 as ontology development tool. We reused some concepts from the PROV-O
Ontology2. We note that in future versions we will reuse more ontologies. For instance, in this
ifrst version we have used strings to represent the values and units of quantities. A natural next
step is to reuse an ontology such as Quantities, units, dimensions and data types ontologies
(QUDT)3 for representing these.</p>
      <sec id="sec-4-1">
        <title>3.1. Competency questions</title>
        <p>Conform to the methodology, we formulate competency questions that our developed ontology
should be capable to answer:
• CQ1: What is the material used for each printed build in an EB-PBF printing process?
• CQ2: Who is the manufacturer of the metal powder used in an EB-PBF printing process?
• CQ3: What are diferent sub-processes in an EB-PBF process?
• CQ4: What are the inputs and outputs of each sub-process in an EB-PBF process?
• CQ5: What are the properties of the layer melting strategy used in an EB-PBF slicing
sub-process?
• CQ6: Which 3D printing machine has been used for an EB-PBF printing process?
• CQ7: What types of sensors are utilized in an EB-PBF 3D printing machine?
• CQ8: What is the total number of layers used in an EB-PBF printing process?
• CQ9: What is the layer thickness used in an EB-PBF printing process?
• CQ10: What is the start and end date and time for an PBF-AM process?
• CQ11: What is the typical beam power for the energy source used in an EB-BPF printing
process?</p>
      </sec>
      <sec id="sec-4-2">
        <title>3.2. PBF-AMP-Onto_Core</title>
        <p>The first module, PBF-AMP-Onto_Core, models the core concepts and relationships in PBF
processes. A visualization of PBF-AMP-Onto_Core is presented in orange in Figure 1.</p>
        <p>The Powder_Bed_Fusion_Additive_Manufacturing_Process is modeled as a sub-concept
of Additive_Manufacturing_Process which in its turn is a sub-concept of Process, and
inherits temporal information from that concept. A Process is supervised by at least one
Prov:Agent and has a start and an end date and time.</p>
        <p>In general, a Powder_Bed_Fusion_Additive_Manufacturing_Process has sub-processes
which are performed in a specific order: 3D_Model_Design_Process where a 3D model is
created, the Slicing_Process where the 3D model is sliced to layers and a digital twin is
1https://protege.stanford.edu/
2https://www.w3.org/TR/prov-o/
3https://qudt.org/
created for each layer, the P r i n t i n g _ P r o c e s s where the actual physical objects are printed,
and the P o s t _ P r i n t i n g _ P r o c e s s where the physical objects undergo various post-processing
methods such as cleaning of excess powder and detaching the printed objects from the build
plate. Further, the M o n i t o r i n g _ P r o c e s s is carried out during the printing process to monitor
and document each layer, collecting data for future decisions or potential adjustments. The
I n s p e c t i o n _ A n d _ Q u a l i t y _ M a n a g e m e n t _ P r o c e s s investigates the printed build using various
analysis methods, such as</p>
        <p>microstructural analysis. In some specific PBF processes some of
the sub-processes may be
missing. For the first steps in the PBF workflow (part of)
F i l e s in
diferent formats are used as input and output for the sub-processes. The printing sub-process
has a physical object (P r i n t e d _ B u i l d ) as output.</p>
      </sec>
      <sec id="sec-4-3">
        <title>3.3. PBF-AMP-Onto_EB</title>
        <p>PBF-AMP-Onto_EB focuses on a specific kind of PBF, namely EB-PBF. The concepts that are
specific for PBF-AMP-Onto_EB are presented in blue in Figure</p>
        <sec id="sec-4-3-1">
          <title>1. For EB-PBF, the sub-processes</title>
          <p>Prov:Activity
xsd:dateTime</p>
          <p>xsd:dateTime
has start date time has end date time
rdfs:subClassOf
Prov:Agent
of PBF are specialized. We describe here the two most complex sub-processes.</p>
          <p>An EB-PBF_Slicing_Process has a slicing strategy (EB-PBF_Slicing_Strategy) and
strategy for scanning (EB-PBF_Scan_Strategy). At the beginning of the printing process, the
EB-PBF_Start_Heating_Strategy is applied once and defines how to heat the build plate.
Each layer is prepared before melting the metal powder as defined in the
EB-PBF_Layer_PreHeating_Strategy. Further, the EB-PBF_Layer_Melting_Strategy defines the strategy for
melting the metal powder spread on the previous layer. Finally, the
EB-PBF_Layer_PostHeating_Strategy guides the heating of the melted layer in diferent repetitions. Each of
these strategies are represented in (part of) Files in diferent formats. They use an
EBPBF_Energy_Source (an electron beam). Further, they have an EB-PBF_Scan_Strategy which
is composed of an EB-PBF_Infill_Scan_Strategy and an EB-PBF_Contour_Scan_Strategy
where infill strategies focus on the interior part of a layer, while contour strategies deal with
the outer part of a layer. All these strategies are part of the EB-PBF_Layer_Digital_Twin.</p>
          <p>As diferent geometries (e.g., diferent screws) can be printed at the same time and we like
to store information and reason about these, we define an EB-PBF_Geometry_Digital_Twin
which is composed of EB-PBF_Geometry_Layer_Digital_Twins which are produced by an
EB-PBF_Geometry_Layer_Melting_Strategy.</p>
          <p>The EB-PBF_Printing_Process uses an EB-PBF_Printing_Machine that allows for
certain EB-PBF_Printing_Methods. It uses an EB-PBF_Build_Plate that is heated using the
EBPBF_Start_Heating_Strategy. The process uses EB-PBF_Metal_Powder. The actual printing
is performed based on the information in the EB-PBF_Layer_Digital_Twin. The output is a
Printed_Build.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>4. Use case and evaluation</title>
      <p>In this section, we describe an example use case where we construct a KG for an EB-PBF
experiment and demonstrate how competency questions in Section 3 can be answered using
SPARQL queries.</p>
      <sec id="sec-5-1">
        <title>4.1. Use case</title>
        <p>We used the data from an EB-PBF printing experiment where 13 screws were printed. As
printing medium, stainless steel was used. Also the build plate was manufactured from stainless
steel. Figure 2a shows a Python file where the first line reads the 3D model in .stl format of a
single screw. Then, the locations of the 13 diferent copies ( part1 to part13) on the build plate
are defined. Figure 2b shows the 3D model of the 13 screws on the build plate.</p>
        <p>Once the geometries are located on the build plate, they are sliced into layers using various
slicing strategies. Figure 3a shows part of the Python code for the layer melting strategies used
to slice each geometry in the experiment. For instance, all 13 parts have a spot size, i.e., the
size of the electron beam after passing through the gun, of 1 µm. However, the beam power of
part7 is set to 720 kW, while for the other parts it is set to 660 kW. Additionally, each part has
a diferent dwell time, representing the duration the beam stays on a point. There are other
parameter settings as well that reflect various settings for the beam power and its movements
such as the scan speed (speed of the beam), and point distance (distance between adjacent spots).
(a) Parts placement on the build plate.
(b) 3D model of the experiment.</p>
        <p>The layers may have diferent layer thicknesses. The rotation angle represents the angle which
a geometry is rotated. The infill strategies and contour strategies represent the methods for
scanning the surface, focusing on the interior part of a layer, and the outer part of the layer,
respectively. If no contour strategy is specified, then the infill strategy is also used for the
outer part. The number of layers is computed from the layer thickness and the height of the
3D_Model_Build.</p>
        <p>In addition to the layer melting strategy, each layer needs a pre-heating and post-heating
strategy. In our experiment, there is one pre-heating strategy and one post-heating strategy
that is used for all layers, respectively. The diferent strategies contribute to the layer digital
twins which are represented in .obp files. All these strategies are combined in Python by domain
experts4. While printing, sensors in the printing machine record data that can be used to
generate images from the electrons scattered of the surface which is used to monitor the
printing process.</p>
        <p>We created a KG by instantiating PBF-AMP-Onto_EB with the collected data from the
experiment. Figure 4 shows part of this KG. It shows, for example, that
build_2024_04_16_Experiment is an instance of the PBF-AM_Process concept in PBF-AMP-Onto_Core and has
build_2024_04_16_Experiment_SlicingProcess and
build_2024_04_16_Experiment_PrintingProcess as sub-processes. The build_2024_04_16_Experiment started on 2024-05-31T14:30:00Z
and finished on 2024-05-31T23:30:00Z. One of the geometry layer melting strategies
(build_2024_04_16_Geometry_layer_melting_Strategy_geometry1) has energy source
Electron</p>
        <sec id="sec-5-1-1">
          <title>4https://github.com/wiberganton/obpcreator/tree/main</title>
          <p>BeamEnergySource1. Moreover,
build_2024_04_16_Geometry_layer_melting_Strategy_geometry1 has build_2024_04_16_Scan_Strategy_geometry1 as the E B - P B F _ S c a n _ S t r a t e g y that
has Infill_Strategy_2 and Contour_Strategy_2 as E B - P B F _ I n f i l l _ S c a n _ S t r a t e g y and E B
P B F _ C o n t o u r _ S c a n _ S t r a t e g y , respectively. Infill_Strategy_2 has a beam power of 660 kW,
and a beam scan speed of 1700000 µm/s with dwell time 570000 ns.</p>
          <p>rdf:type
EB-PBF Geometry Layer Melting Strategy</p>
          <p>"45mm"^^xsd:string
Slicing Process rdfs:subClassOf</p>
        </sec>
      </sec>
      <sec id="sec-5-2">
        <title>4.2. SPARQL query examples</title>
        <p>To show the use and the feasibility of our approach, we implemented SPARQL queries based on
competency questions (see Section 3.1). To execute these queries, we used blazegraph5 which is
an ultra high-performance graph database supporting RDF/SPARQL APIs.</p>
        <p>As examples, we show the SPARQL queries for the competency questions CQ1, CQ7, CQ8,
and CQ10 in Tables 1, 2, 3, and 4 respectively. The retrieved results for each query are
presented in Table 5. For example, executing the SPARQL query for CQ1 in Table 1 returns the
result that the printed build in build_2024_04_16_Experiment_PrintingProcess has used
Stainless_Steel as the metal powder. The result of the SPARQL query CQ7 (Table 2) indicates that the
IEI_Freemelt_Printing_Machine is equipped with four temperature sensors (Temp_Sensor_1 to
Temp_Sensor_4 ). The SPARQL query for CQ8 (Table 3) returns that there are five layers for the
EB-PBF printing process in the KG. The SPARQL query for CQ10 (Table 4) reveals the start and
end date and time of build_2024_04_16_Experiment. We note that all CQs could be formulated
using PBF-AMP-Onto_EB. Table 6 shows the concepts and relationships used for each CQ.</p>
        <sec id="sec-5-2-1">
          <title>5 https://github.com/blazegraph/database/releases/tag/BLAZEGRAPH_2_1_6_RC</title>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>5. Conclusion</title>
      <p>In this paper we developed a modular ontology for PBF with a specialized module for EB-PBF. We
showed the use of the ontology for describing and querying information on EB-PBF processes.</p>
      <p>In the future we will propose a standardized way to (store and) integrate information from
diferent sources regarding PBF processes to enable semantic and integrated access to these
diferent sources based on our ontology. We will take inspiration from our previous work on
integrating materials computation databases [17, 18]. This will be the basis for advanced design
and analysis tools that guide the design and provide quality assurance of AM products.</p>
      <p>
        Another important task will be to align our ontology with other ontologies. For instance, we
will investigate the connection between our process concept and PMDco’s [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] process concept,
and our material concept with, e.g., the material concept in EMMO (Elementary Multiperspective
Material Ontology)6. In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] several attributes are defined that can be connected to our ontology.
      </p>
      <sec id="sec-6-1">
        <title>6https://github.com/emmo-repo/EMMO</title>
        <p>For this alignment, we will need to investigate possible ontological commitments. We will also
reuse an ontologies for quantities.</p>
        <p>Further, we will investigate other AM processes and extend the ontology with new modules
accordingly.</p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>This work has been financially supported by the Wallenberg AI, Autonomous Systems and
Software Program (WASP) and the Wallenberg Initiative Materials Science for Sustainability
(WISE) Joint Call for pre-projects, the EU Horizon project Onto-DESIDE (Grant Agreement
101058682), the Swedish e-Science Research Centre (SeRC), and the Swedish National Graduate
School in Computer Science (CUGS).
has_start_date_time, has_end_date_time
is_sub_process_of, has_scan_strategy,
has_infill_scan_strategy, has_contour_scan_strategy,
has_beam_power
and Information Science in Engineering 18 (2018) 021009. doi:10.1115/1.4039455.
[13] M. Dinar, D. W. Rosen, A design for additive manufacturing ontology, Journal of Computing
and Information Science in Engineering 17 (2017) 021013. doi:10.1115/1.4035787.
[14] P. Lambrix, Part-Whole Reasoning in an Object-Centered Framework, volume 1771 of</p>
      <p>Lecture Notes in Computer Science, Springer, 2000. doi:10.1007/3-540-46440-9.
[15] S. Kim, D. W. Rosen, P. Witherell, H. Ko, A design for additive manufacturing ontology
to support manufacturability analysis, Journal of Computing and Information Science in
Engineering 19 (2019) 041014. doi:10.1115/1.4043531.
[16] M. C. Suárez-Figueroa, A. Gómez-Pérez, M. Fernández-López, The NeOn Methodology for
Ontology Engineering, in: Ontology engineering in a networked world, Springer, 2011,
pp. 9–34. doi:10.1007/978-3-642-24794-1_2.
[17] H. Li, R. Armiento, P. Lambrix, An Ontology for the Materials Design Domain, in: The
Semantic Web - ISWC 2020 - 19th International Semantic Web Conference, Athens, Greece,
November 2-6, 2020, Proceedings, Part II, volume 12507 of Lecture Notes in Computer Science,
Springer, Athens, Greece, 2020, pp. 212–227. doi:10.1007/978-3-030-62466-8_14.
[18] P. Lambrix, R. Armiento, H. Li, O. Hartig, M. Abd Nikooie Pour, Y. Li, The materials design
ontology, Semantic Web 15 (2024) 481–515. doi:10.3233/SW-233340.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>S.</given-names>
            <surname>Ford</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Despeisse</surname>
          </string-name>
          ,
          <article-title>Additive manufacturing and sustainability: an exploratory study of the advantages and challenges</article-title>
          ,
          <source>Journal of Cleaner Production</source>
          <volume>137</volume>
          (
          <year>2016</year>
          )
          <fpage>1573</fpage>
          -
          <lpage>1587</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.jclepro.
          <year>2016</year>
          .
          <volume>04</volume>
          .150.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>T. D.</given-names>
            <surname>Ngo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Kashani</surname>
          </string-name>
          , G. Imbalzano,
          <string-name>
            <given-names>K. T.</given-names>
            <surname>Nguyen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Hui</surname>
          </string-name>
          ,
          <article-title>Additive manufacturing (3d printing): A review of materials, methods, applications and challenges</article-title>
          ,
          <source>Composites Part B: Engineering</source>
          <volume>143</volume>
          (
          <year>2018</year>
          )
          <fpage>172</fpage>
          -
          <lpage>196</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.compositesb.
          <year>2018</year>
          .
          <volume>02</volume>
          .012.
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>D. D.</given-names>
            <surname>Singh</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Mahender</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. R.</given-names>
            <surname>Reddy</surname>
          </string-name>
          ,
          <article-title>Powder bed fusion process: A brief review</article-title>
          ,
          <source>Materials Today: Proceedings</source>
          <volume>46</volume>
          (
          <year>2021</year>
          )
          <fpage>350</fpage>
          -
          <lpage>355</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.matpr.
          <year>2020</year>
          .
          <volume>08</volume>
          .415.
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>Y.</given-names>
            <surname>Qin</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Q.</given-names>
            <surname>Qi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. J.</given-names>
            <surname>Scott</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Jiang</surname>
          </string-name>
          , Status, comparison, and
          <article-title>future of the representations of additive manufacturing data</article-title>
          ,
          <source>Computer-Aided Design</source>
          <volume>111</volume>
          (
          <year>2019</year>
          )
          <fpage>44</fpage>
          -
          <lpage>64</lpage>
          . doi:
          <volume>10</volume>
          .1016/j. cad.
          <year>2019</year>
          .
          <volume>02</volume>
          .004.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>D. B.</given-names>
            <surname>Kim</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Witherell</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Lu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Feng</surname>
          </string-name>
          ,
          <article-title>Toward a digital thread and data package for metals-additive manufacturing, Smart and sustainable manufacturing systems 1 (</article-title>
          <year>2017</year>
          )
          <fpage>75</fpage>
          -
          <lpage>99</lpage>
          . doi:
          <volume>10</volume>
          .1520/SSMS20160003.
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>A.</given-names>
            <surname>Wiberg</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. A.</given-names>
            <surname>Persson</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Ölvander</surname>
          </string-name>
          ,
          <article-title>A design automation framework supporting design for additive manufacturing</article-title>
          , in: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, volume
          <volume>87295</volume>
          , American Society of Mechanical Engineers,
          <year>2023</year>
          , p.
          <fpage>V002T02A083</fpage>
          . doi:
          <volume>10</volume>
          .1115/DETC2023-116415.
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>B.</given-names>
            <surname>Bayerlein</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Schilling</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Birkholz</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Jung</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Waitelonis</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Mädler</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Sack</surname>
          </string-name>
          , PMD Core Ontology:
          <article-title>Achieving semantic interoperability in materials science</article-title>
          ,
          <source>Materials &amp; Design</source>
          <volume>237</volume>
          (
          <year>2024</year>
          )
          <article-title>112603</article-title>
          . doi:
          <volume>10</volume>
          .1016/j.matdes.
          <year>2023</year>
          .
          <volume>112603</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>M. D.</given-names>
            <surname>Wilkinson</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Dumontier</surname>
          </string-name>
          ,
          <string-name>
            <given-names>I. J.</given-names>
            <surname>Aalbersberg</surname>
          </string-name>
          , G. Appleton,
          <string-name>
            <given-names>M.</given-names>
            <surname>Axton</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Baak</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Blomberg</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.-W.</given-names>
            <surname>Boiten</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L. B. da Silva</given-names>
            <surname>Santos</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. E.</given-names>
            <surname>Bourne</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Bouwman</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. J.</given-names>
            <surname>Brookes</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Clark</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Crosas</surname>
          </string-name>
          ,
          <string-name>
            <given-names>I.</given-names>
            <surname>Dillo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>O.</given-names>
            <surname>Dumon</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Edmunds</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C. T.</given-names>
            <surname>Evelo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Finkers</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>GonzalezBeltran</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. J.</given-names>
            <surname>Gray</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Groth</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>Goble</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. S.</given-names>
            <surname>Grethe</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Heringa</surname>
          </string-name>
          , P. A. '
          <string-name>
            <surname>t Hoen</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <string-name>
            <surname>Hooft</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          <string-name>
            <surname>Kuhn</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <string-name>
            <surname>Kok</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          <string-name>
            <surname>Kok</surname>
            ,
            <given-names>S. J.</given-names>
          </string-name>
          <string-name>
            <surname>Lusher</surname>
            ,
            <given-names>M. E.</given-names>
          </string-name>
          <string-name>
            <surname>Martone</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <string-name>
            <surname>Mons</surname>
            ,
            <given-names>A. L.</given-names>
          </string-name>
          <string-name>
            <surname>Packer</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          <string-name>
            <surname>Persson</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          <string-name>
            <surname>Rocca-Serra</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          <string-name>
            <surname>Roos</surname>
            , R. van Schaik,
            <given-names>S.-A.</given-names>
          </string-name>
          <string-name>
            <surname>Sansone</surname>
            , E. Schultes,
            <given-names>T.</given-names>
          </string-name>
          <string-name>
            <surname>Sengstag</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          <string-name>
            <surname>Slater</surname>
            , G. Strawn,
            <given-names>M. A.</given-names>
          </string-name>
          <string-name>
            <surname>Swertz</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          <string-name>
            <surname>Thompson</surname>
            ,
            <given-names>J. van der</given-names>
          </string-name>
          <string-name>
            <surname>Lei</surname>
            , E. van Mulligen,
            <given-names>J.</given-names>
          </string-name>
          <string-name>
            <surname>Velterop</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <string-name>
            <surname>Waagmeester</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          <string-name>
            <surname>Wittenburg</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          <string-name>
            <surname>Wolstencroft</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          <string-name>
            <surname>Zhao</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          <string-name>
            <surname>Mons</surname>
          </string-name>
          ,
          <article-title>The FAIR Guiding Principles for scientific data management and stewardship</article-title>
          ,
          <source>Scientific Data</source>
          <volume>3</volume>
          (
          <year>2016</year>
          )
          <volume>160018</volume>
          :
          <fpage>1</fpage>
          -
          <lpage>9</lpage>
          . doi:
          <volume>10</volume>
          .1038/sdata.
          <year>2016</year>
          .
          <volume>18</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>P.</given-names>
            <surname>Lambrix</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Armiento</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Delin</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <article-title>FAIR Big Data in the Materials Design Domain</article-title>
          , in: A. Y. Zomaya,
          <string-name>
            <given-names>J.</given-names>
            <surname>Taheri</surname>
          </string-name>
          , S. Sakr (Eds.),
          <source>Encyclopedia of Big Data Technologies</source>
          , Springer, Cham,
          <year>2022</year>
          . doi:
          <volume>10</volume>
          .1007/978-3-
          <fpage>319</fpage>
          -63962-8_
          <fpage>293</fpage>
          -
          <lpage>2</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <given-names>E. M.</given-names>
            <surname>Sanfilippo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Belkadi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Bernard</surname>
          </string-name>
          ,
          <article-title>Ontology-based knowledge representation for additive manufacturing</article-title>
          ,
          <source>Computers in Industry</source>
          <volume>109</volume>
          (
          <year>2019</year>
          )
          <fpage>182</fpage>
          -
          <lpage>194</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.compind.
          <year>2019</year>
          .
          <volume>03</volume>
          .006.
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <surname>B.-M. Roh</surname>
            ,
            <given-names>S. R.</given-names>
          </string-name>
          <string-name>
            <surname>Kumara</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          <string-name>
            <surname>Witherell</surname>
            ,
            <given-names>T. W.</given-names>
          </string-name>
          <string-name>
            <surname>Simpson</surname>
          </string-name>
          ,
          <article-title>Ontology-based process map for metal additive manufacturing</article-title>
          ,
          <source>Journal of Materials Engineering and Performance</source>
          <volume>30</volume>
          (
          <year>2021</year>
          )
          <fpage>8784</fpage>
          -
          <lpage>8797</lpage>
          . doi:
          <volume>10</volume>
          .1007/s11665-021-06274-2.
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <given-names>T. J.</given-names>
            <surname>Hagedorn</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Krishnamurty</surname>
          </string-name>
          ,
          <string-name>
            <given-names>I. R.</given-names>
            <surname>Grosse</surname>
          </string-name>
          ,
          <article-title>A knowledge-based method for innovative design for additive manufacturing supported by modular ontologies</article-title>
          ,
          <source>Journal of Computing</source>
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>