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    <article-meta>
      <title-group>
        <article-title>Finite Element Modeling and Visualization of Additive Ring Growing by 3DMP Method*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andrey Kirichek</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergey Barinov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svetlana Fedonina</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>BSTU</institution>
          ,
          <addr-line>241035 50 let Oktyabrya bulvar, Bryansk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>VLSU</institution>
          ,
          <addr-line>600000 Gorky st. 87, Vladimir</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The aim of the work is to obtain a finite element model of the additive growing process in the general case of a complex-shaped product using the 3DMP (3D Metal Print) method of wire deposition / surfacing by gas metal arc welding, visualization of the forming temperature fields. The problem is solved using the example of an elementary ring by creating a scalable model in the Ansys software package. The stages of creating a finite element model as well as the results of its approbation in the analysis of temperatures are given. The model visualizes the nature of the influence of the deposition / surfacing parameters on the temperature fields that are formed and dynamically change with the movement of the wire feedstock. In this case, the conditions of additive free shaping of a closed-form product are of no small importance. It becomes possible to visually assess the degree of heating and the volume of heated metal in the hazardous area, proceed further to the calculation of stress and strain fields in the grown product, and choose the correct technological parameters of the process. The obtained visual information makes it possible to perform a qualitative and quantitative assessment of the additive shaping result, to determine the required intensity of heat removal, which contributes to the grown product quality improvement as a whole.</p>
      </abstract>
      <kwd-group>
        <kwd>Finite Element Model</kwd>
        <kwd>Visualization</kwd>
        <kwd>Electric Arc Welding</kwd>
        <kwd>Wire Deposition / Surfacing</kwd>
        <kwd>Additive Growing</kwd>
        <kwd>Process Parameters</kwd>
        <kwd>Temperature Fields</kwd>
        <kwd>Ring</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Currently, the most progressive technology for shaping parts in the manufacture of
products in the aerospace and automotive industries, as well as general mechanical
engineering, is additive growing. The average annual growth rates of the world
marCopyright © 2020 for this paper by its authors. Use permitted under Creative Commons
License Attribution 4.0 International (CC BY 4.0).
ket of additive technologies (AT) are: in 2007 ... 2013 - 19%, and in 2013 ... 2021 - up
to 32% (forecast by Wohler Associates).</p>
      <p>A fairly large number of ATs have been developed, among which the most
common are powder. However, powder additive technologies SLM / EBM / DED and
LMD require high capital and material costs and are characterized by a low rate of
product growth (as a rule, from 5 to 20 ... 35; maximum - up to 120 cm3 / hour), have
a high cost per hour. EBAM technology is distinguished by a high synthesis
productivity (up to 900 cm3 / h) and wider possibilities for the size of parts, but it is also
difficult to compete with traditional technologies in terms of economic indicators due
to the need to create vacuum and the high cost of the equipment used.</p>
      <p>With the advent of 3DMP technology, we can speak about the creation of
ATcompetitive with traditional technologies in terms of economic efficiency, due to high
productivity (up to 600 cm3 / h) and the absence of restrictions on the size of the
grown products. 3DMP (3D Metal Print) is a technology for the deposition / surfacing
of wire by the method of electric arc welding (gas metal arc welding, GMA welding,
GMAW). Unlike well-known processes of manual, semi- or automatic welding
(GMAW) in inert gas (metal inert gas, MIG) or active gas (metal active gas, MAG),
3DMP technology is a fully automated process using CAD / CAM data arrays.</p>
      <p>
        Despite the fact that 3DMP technology uses widespread arc welding, its
implementation has to solve specific problems of shaping that are not inherent in traditional
welding processes [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4">1-4</xref>
        ]. For example, it is necessary to solve the issues of accurate
positioning of wire feedstock, dosed wire feed, interconnected not only with the
modes of electric arc surfacing, but also with the coordinates of the feedstock, solving
the problem of dynamic distribution of heat fluxes, which largely determines both the
stressed state of the grown product and the accuracy of the shape of the grown
product and the size of the defective layer to be subsequently removed by mechanical
means. Modeling and visualization of the processes accompanying the additive
growth of a product can provide invaluable assistance in making technological
decisions [
        <xref ref-type="bibr" rid="ref5 ref6 ref7 ref8 ref9">5-9</xref>
        ].
      </p>
      <p>The overwhelming majority of well-known software systems are designed to
calculate heat fluxes, stress and strain fields in a completely finished product. The most
difficult and least studied is the modeling of rapidly flowing technological processes
in which the studied parameters are constantly and continuously changing.
2</p>
      <p>Finite element modeling and visualization of additive ring
growing by 3DMP method
The problem of obtaining a finite element model of the process of additive growth of
a product using the 3D Metal Print method of wire surfacing by electric arc welding
was solved using the example of an elementary ring. This scalable model was created
in the Ansys software package, which is the world leader in the field of modern
engineering analysis.</p>
      <p>The model was developed in three stages (Fig. 1). At the first stage, work was
carried out related to the creation of the geometry of the deposited ring and the base plate</p>
      <p>Finite Element Modeling and Visualization of Additive Ring Growing by 3DMP Method 3
it was placed on. To do this, in the Workbench, from the Toolbox section, the
Geometry module was transferred to the Project Schematic window. A ring 22.5 mm high
with an inner and outer diameters of 100 and 109.6 mm, respectively was created in
it. Under the bottom end of the ring, using the "Sketch" function, a base plate 10 mm
thick and side dimensions 120 * 120 mm was created (Fig. 2, a). Since the 3DMP
technology, by virtue of its peculiarities, implies a phased growing of products, the
created ring was divided in the transverse direction of the axis into nine planes, with a
distance between adjacent of 2.5 mm (Fig. 2, b). Thus, a product consisting of nine
layers, 2.5 mm thick, placed one above the other was obtained. Further, the geometry
of the product, in the direction of the axis, was divided into 200 sectors (Fig. 2, c).
Thus, the size of one sector was 1.75 * 4.8 * 2.5 mm, which is the volume that arc
welding can weld, moving the feedstock wire in one second. All geometric elements,
the ring was split into, were combined into one component with the assignment of the
"Share" type, which ensured the formation of a single finite element mesh for the
entire product.</p>
      <p>At the second stage, a model of the material used was created. For this, the
“Engineering Data” module was moved to the “Project Schematic” section. It specified the
physical and mechanical properties of the material used, such as thermal expansion
coefficient, density, Young's modulus, Punson's coefficient, thermal conductivity,
yield stress, strength, specific heat, tangential modulus, etc. Some physical and
mechanical properties were set depending on temperature ... The values of the physical
and mechanical properties of the material used were partially taken from the reference
literature, partially obtained as a result of corresponding experimental studies.</p>
      <p>In the third stage, the additive growing process (3DMP) was modeled. For this, the
Transient Thermal module was added to the “Project Schematic”. The preparation of
the module for the calculation began with importing the created material and
assigning it to the ring elements. The base plate material was assigned the type - structural
steel. It was selected from the database of materials of the program. Next, in the
"Connectoins" section, a contact area was created between the elements of the bottom
end of the ring and the surface of the base plate. The contacting elements were
assigned the "Bonded" type. Then, using the "Mesh" function in the ring and the base
plate, a finite element mesh was built.</p>
      <p>
        Arc weld surfacing was simulated using the “Internal Heat Generation” function,
which internally heats a selected volume of material. This ensures a volumetric
temperature distribution. The "Internal Heat Generation" function has a dimension of J /
(mm3 * s) and is applied to the volume of one selected ring sector (1.75 * 4.8 * 2.5
mm). The value of the heat flux set by the “Internal Heat Generation” function was
determined according to [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>To ensure the gradual creation (growth) of the elements of the sectors, the layers of
the ring were formed from the "Element Birth and Death" function was used. It makes
it possible to suppress (remove from the calculation) all elements of the ring geometry
before starting the calculation, except for one sector, which is the place where
surfacing starts. This sector was heated by the “Internal Heat Generation” function for one
second and was an element of the first calculation step. At the second step, the second
sector appeared in the calculation, and then it also heated up for one second, etc. This
approach allows simulating the movement of wire feedstock for electric arc welding.
In the created model, it moves in a spiral, counterclockwise. Thus, by the end of the
calculation, all 1800 sectors that make up the ring will be grown.</p>
      <p>The preparation of the model for analysis is completed in the "Analysis Setting"
section. It determines the total calculation time and sets the maximum and minimum
time steps.</p>
      <p>The temperature distributions obtained as a result of modeling the process of
additive growth of a product by the 3D Metal Print method of wire surfacing by electric
arc welding are shown in Figures 3-6.</p>
      <p>Figure 3 shows the distribution of temperature fields in the A-A ring section
obtained using the "Temperature - Surface" function set.</p>
      <p>Figure 4 shows the dependence of the temperature distribution on the process time,
obtained at specific points indicated on the ring surface. Building such dependencies
is possible using the "Temperature - Probe" function.</p>
      <p>The final distribution of temperature fields in the third, sixth and ninth deposited
layers of the ring are shown in Figure 5. These graphs were obtained using the
"Temperature - Coordinate System - Surface" function set and represent a horizontal
section of the ring with a cutting plane.</p>
      <p>Visualization of the formation of temperature fields obtained as a result of
modeling allows us to estimate the degree and depth of heating, as well as the volume of
intensely heated metal in the hazardous area. The figures show that after growing of 3</p>
      <p>Finite Element Modeling and Visualization of Additive Ring Growing by 3DMP Method 5
... 5 turns, a temperature balance occurs, the heating of the product as a whole occurs
slowly and evenly, its temperature, rate and intensity of heat removal depend on the
organization of cooling of both the substrate and the product being grown.</p>
      <p>The results obtained make it possible to proceed in the future to the calculation of
the stress and strain fields in the grown product, and to choose the correct
technological parameters of the process.
Fig. 4. Dependences of the temperature distribution on the process time obtained at specific
points indicated on the ring surface.</p>
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