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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Ontology Modelling for Materials Science Experiments</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mehwish Alam</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Henk Birkholz</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Danilo Dess</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Christoph Eberl</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Heike Fliegl</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Peter Gumbsch</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Philipp von Hartrott</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lutz Madler</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Markus Niebel</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Harald Sack</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Akhil Thomas</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>FIZ Karlsruhe</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Fraunhofer IWM</institution>
          ,
          <addr-line>Freiburg</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Karlsruhe Institute of Technology, Institute AIFB</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Karlsruhe Institute of Technology, Institute of Nanotechnology</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Leibniz Institute for Information Infrastructure</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>Leibniz Institute for Materials Engineering IWT</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Materials are either enabler or bottleneck for the vast majority of technological innovations. The digitization of materials and processes is mandatory to create live production environments which represent physical entities and their aggregations and thus allow to represent, share, and understand materials changes. However, a common standard formalization for materials knowledge in the form of taxonomies, ontologies, or knowledge graphs has not been achieved yet. This paper sketches the e orts in modelling an ontology prototype to describe Materials Science experiments. It describes what is expected from the ontology by introducing a use case where a process chain driven by the ontology enables the curation and understanding of experiments.</p>
      </abstract>
      <kwd-group>
        <kwd>Materials Science</kwd>
        <kwd>Ontology Design</kwd>
        <kwd>Data Curation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>The discipline Materials Science and Engineering (MSE) promises solutions to
modern societal challenges, including climate change and resource scarcity.
However, the complexity of the lifecycles of materials and their diversity poses several
challenges in the management of materials' knowledge for a comprehensive
sharing and understanding among various MSE disciplines.</p>
      <p>
        Many experiments are conducted to study materials' behavior, which
generates a variety of data, describing manufacturing process settings, material
properties, material structures, and further MSE parameters. The sharing and
interoperability of MSE ndings are mainly achieved through the exchange of not
standard and often not well-documented les [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. They are often hardly
processable and understandable by humans and machines, thus limiting the potential
to support all stakeholders in their tasks. Therefore, modelling MSE data with
formal semantics is crucial to consider a variety of MSE facets (e.g.,
multidisciplinarity or spatial inhomogeneity) to provide a better understanding and
support for the creation of new materials. A common and shared representation
for material knowledge in the form of taxonomies, ontologies, and knowledge
graphs has not been achieved yet. Challenges arise in the representation of
dynamic events that occur when materials change their state due to manufacturing
processes [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In this paper, rst insights about the semantics of MSE ontologies
for material transformations that came up within the Plattform
MaterialDigital 6 project are presented; more speci cally, the paper addresses the following
research questions by discussing an ontology prototype:
{ RQ1: How can ontologies represent and describe MSE process chains?
{ RQ2: How can ontologies guarantee MSE data consistency?
{ RQ3: How can ontologies support MSE experts to fully represent changes of
material structures and material properties?
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <p>
        Existing attempts try to represent top-level knowledge about materials
properties and structures [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] with the objective to enable seamless data integration
and sharing [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Recent ontologies are paving the road for the MSE data
interoperability by providing a common ground to describe materials. For example,
this challenge is currently being addressed by several communities including the
European Materials Modelling Council7 (EMMC) which develops the European
Materials &amp; Modelling Ontology8 (EMMO) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] an ontology developed to describe
classical and quantum physics. It focuses on high-level properties of materials
and manufacturing processes, and extensions to model speci c use cases are
required. A more recent e ort in the MSE domain is given by the Materials Design
Ontology (MDO) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] which has the objective to make di erent outcomes
generated by calculations interoperable. MDO introduces relations between materials'
properties and materials' structures, but does not relate their transformations
to process parameters. Hence, the description of materials manufacturing might
result incomplete. Thus, the existing models can only ensure a limited formal
description about material transformations, which is one of key aspect for new
materials' generation. The proposed work aims to extend existing e orts,
augmenting them with semantics to model material transformations.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Scenario and Vision</title>
      <p>Imagine having a process chain. An object undergoes processes that transform
the object's material structures and material properties (Figure 1). In this
scenario, it is crucial to track how processes are performed and how objects change
when describing material transformations. In detail, transformative processes
(e.g., manufacturing processes) lead to changes in objects' status (i.e., material
properties and material structures) according to their individual process
parameters, thus creating new object entities as an output. Figure 2 shows a high-level</p>
      <sec id="sec-3-1">
        <title>6 https://materialdigital.de/, accessed on June 10, 2021</title>
        <p>7 https://emmc.eu/, accessed on June 10, 2021
8 https://github.com/emmo-repo/EMMO, accessed on June 10, 2021
sketch that represents the main top classes and object properties of the
ontology under development. Every process comes with its own parameters that
represent all the required variables. Processes that can transform material
structures are represented by the class pmd:ManufacturingProcess, processes which
perform analysis are represented by the class pmd:AnalysisProcess; however,
they can still transform the object (e.g., a Tensile Test process), and
therefore, they might also be transformative. Process parameters might have various
e ects on the materials and, therefore, the relations between processes to
material structures are required. This can also be done at di erent granularity
levels (e.g., nano, microscopic, mesoscopic, etc.) depending on the requirements
of the application scenario. For example, the problem of locally heterogeneous
materials in an object requires separating the object into a certain number of
volumetric sub-areas made by the same material (pmd:Material), so called
voxels (pmd:Voxel). Therefore, the voxel becomes the object of the ontology and
describes the conditions of the material with its individually experienced process
parameters. Object properties are de ned to describe how pmd:Process
modi es pmd:MaterialStructure a ecting pmd:MaterialProperty, thus allowing
machine and humans to understand what is performed in the experiment.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Practical Use of the Prototype Ontology</title>
      <p>MSE ontologies will enable MSE scientists to curate, describe, share, and
optimize experiments. An application example is given in Figure 3. There are 2
processes: c0 and h0 instances of pmd:Cutting and pmd:Heating, respectively.</p>
      <p>Fig. 2: Visualization of the main elements that constitute the ontology.
There are 3 pmd:Object namely o0; o1; o2; o1 is originated from o0 and o2 is
originated from o1. o0 has a pmd:Geometry g0 and a pmd:Microstructure m0.
In the example, pmd:Cutting class represents cutting processes that are
transformative for the geometry, pmd:Heating processes that are transformative for
the microstructure. When o0 undergoes c0, it is transformed in o1; since c0 does
not transform the microstructure, it is preserved in o1 (edge a). However, o1
will have a di erent geometry i.e., g1. When o1 undergoes h0, it is transformed
in o2. In this case, the geometry is not transformed and, therefore, o2 has the
same geometry of o1 i.e., g1 (edge b). Thus, the preservation of material
structures and material properties can be de ned by means of description logics and
Semantic Web Rule Language (SWRL) rules, which enable automatic reasoning
on experimental data, e.g., to nd inconsistencies. For example, an object with
a di erent microstructure after a cutting process raises an inconsistency. At the
same time, this semantics helps to create connections between objects involved
in a process chain, thus enabling reasoning on the process-object relations (e.g.,
an object after a cutting process preserves its microstructure). The reader can
nd the prototype ontology as well as the SWRL rules used by this practical
application in GitHub9.</p>
    </sec>
    <sec id="sec-5">
      <title>5 Insights from the proposed prototype</title>
      <p>The presented prototype provides a modelling philosophy to describe process
chains. Furthermore, it shows how Materials Science semantics can be injected
into a formal model to represent material tranformations. The prototype
addresses the RQs by providing the following insights.</p>
      <p>RQ1. The ontology prototype includes the rst e orts to represent core elements
(pmd:Process, pmd:Object, pmd:MaterialStructure, pmd:MaterialProperty,</p>
      <sec id="sec-5-1">
        <title>9 https://github.com/ISE-FIZKarlsruhe/pmd-onto-poster</title>
        <p>etc.) and their relationships that a MSE ontology must represent in order to
describe MSE process chains.</p>
        <p>RQ2. The semantics within the model shows how data consistency can be
obtained. More speci cally, this is shown by propagating material structures and
material properties through SWRL rules. If a user injects erroneous data (e.g.,
a di erent microstructure for an object after a cutting process), the reasoner is
able to spot the introduced error.</p>
        <p>RQ3. The prototype ontology provides the semantics to reason on experiments,
and links objects to material structures and material properties that are not
directly generated by the experiment itself, and thus supports MSE experts in
fully representing and understanding material transformations.
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusions and Outlook</title>
      <p>
        This paper introduces the vision to model process chains and MSE experiments
through an ontology with the long term goal of studying material
transformations. It provides three RQs that are driving the research and shows an ontology
prototype. Perspectively, the data modelled by speci c use case ontologies will
enable the curation and preservation of data as well as the possibility to
interpret various outcomes. These ontologies are being developed within the
Plattform MaterialDigital. They will enable a substantial step towards the provision
of ndable, accessible, interoperable, and reusable [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] MSE data.
      </p>
      <p>Acknowledgements The authors thank the German Federal Ministry of
Education and Research (BMBF) for nancial support through the project
InnovationPlatform MaterialDigital (FKZ no: 13XP5094A and 13XP5094B and 13XP5094D).</p>
    </sec>
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  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          1.
          <string-name>
            <surname>Cheung</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Drennan</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hunter</surname>
          </string-name>
          , J.:
          <article-title>Towards an ontology for data-driven discovery of new materials</article-title>
          . In:
          <article-title>Semantic Scienti c Knowledge Integration</article-title>
          ,
          <source>AAAI Spring Symposium</source>
          . pp.
          <volume>9</volume>
          {
          <issue>14</issue>
          (
          <year>2008</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Li</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Armiento</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lambrix</surname>
            ,
            <given-names>P.:</given-names>
          </string-name>
          <article-title>An ontology for the materials design domain</article-title>
          .
          <source>In: The Semantic Web - ISWC 2020 - 19th International Semantic Web Conference, Proceedings, Part II</source>
          . pp.
          <volume>212</volume>
          {
          <issue>227</issue>
          (
          <year>2020</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Morgado</surname>
            ,
            <given-names>J.F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ghedini</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Goldbeck</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hashibon</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Schmitz</surname>
            ,
            <given-names>G.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Friis</surname>
          </string-name>
          , J.,
          <string-name>
            <surname>de Baas</surname>
            ,
            <given-names>A.F.</given-names>
          </string-name>
          :
          <article-title>Mechanical testing ontology for digital-twins: a roadmap based on EMMO</article-title>
          .
          <source>In: Proceedings of the International Workshop on Semantic Digital Twins. CEUR Workshop Proceedings</source>
          , Vol.
          <volume>2615</volume>
          (
          <year>2020</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4.
          <string-name>
            <surname>Wilkinson</surname>
            ,
            <given-names>M.D.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Dumontier</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Aalbersberg</surname>
            ,
            <given-names>I.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Appleton</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Axton</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Baak</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Blomberg</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          , et al.:
          <article-title>The fair guiding principles for scienti c data management and stewardship. Scienti c data 3(1), 1{9 (</article-title>
          <year>2016</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Zainul</surname>
            ,
            <given-names>A.I.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Dess</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Alam</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sack</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sandfeld</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          :
          <article-title>Steps towards a dislocation ontology for crystalline materials</article-title>
          .
          <source>In: Proceeding of the Second International Workshop on Semantic Digital Twins. CEUR Workshop Proceedings</source>
          , Vol.
          <volume>2887</volume>
          (
          <year>2021</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <string-name>
            <surname>Zhang</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hu</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Li</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          :
          <article-title>Semantic query on materials data based on mapping matml to an OWL ontology</article-title>
          .
          <source>Data Sci. J</source>
          .
          <volume>8</volume>
          ,
          <issue>1</issue>
          {
          <fpage>17</fpage>
          (
          <year>2009</year>
          )
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>