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  <front>
    <journal-meta>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vitalii Mocharskyi</string-name>
          <email>vitaliimocharskyi@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Bogdan Kovalyuk</string-name>
          <email>kovalyukdan@ukr.net</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana Sitkar</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volodymyr Hutsaylyuk</string-name>
          <email>volodymyr.hutsaylyuk@wat.edu.pl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marcin</string-name>
          <email>marcin.wachowski@wat.edu.pl</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Military University of Technology</institution>
          ,
          <addr-line>General Sylwester Kaliski street, 2, Warsaw, 00-908</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ternopil Ivan Puluj National Technical University</institution>
          ,
          <addr-line>Ruska street, 56, Ternopil, 46001</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Laser processing allows changing the defective substructure of materials in order to control their properties. Critical values of temperature and pressure in the laser-processing zone create unique opportunities for obtaining various structures on the surface and in the depth of materials. Simplicity, safety and ease of automation contribute to the fact that laser processing finds more and more applications in various fields of science and technology. There are many different ways to determine defects on the surface of materials after laser treatment. Some of them are connected with the use of special devices, and some with the use of special algorithms, models and software products for automatic identification and calculation of created defects. Each of the means has its advantages and disadvantages. In this work, we propose the model for the analysis of SEM images with the aim of not only qualitative but also quantitative analysis of defects in materials. This model makes possible to obtain the values of defect areas in relation to the base material. This is important for a more accurate and high-quality selection of laser processing parameters in order to create materials with predetermined structure and properties. In addition, such model can facilitate the calculation of surface defects for scientists, engineers and technologists.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Laser processing is a modern physical and technical method of changing the structure and properties
of materials. Thanks to high temperatures and pressures, all materials can be laser processed. In
addition, laser technologies have a number of advantages over other traditional processing methods:
manufacturability, accuracy, safety, ease of automation. The change in the properties of materials after
laser treatment is associated with a change in the defective substructure of the materials. A defect should
be understood as any change in the structure of the material after processing, which differs from the
structure of the original (base) material. At the same time, defects can both improve and worsen the
properties of materials.</p>
      <p>
        Very often, during research, there is a need to quickly, qualitatively, and quantitatively evaluate
defective changes in the material after laser treatment. It should be noted that there are many methods
for surface analysis [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ]. Some of them are standard, and some are based on specially created
algorithms, models and software products [
        <xref ref-type="bibr" rid="ref4 ref5 ref6">4-6</xref>
        ]. One of the most important methods of studying the
structure of materials after laser processing is the method of microscopy [
        <xref ref-type="bibr" rid="ref7 ref8">7, 8</xref>
        ] (optical, electronic, etc.).
Microscopy is usually a component of a complex and expensive measuring system for surface or
structure research [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ]. Therefore, it is of interest to develop simple, inexpensive algorithms, models
and systems for analyzing microscopic images of the defective surface of materials.
EMAIL:
      </p>
      <p>2023 Copyright for this paper by its authors.
CEUR</p>
      <p>ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>2. Types of defects during laser processing of materials</title>
      <p>For laser processing of materials, we used a system based on Nd:glass laser (Figure 1). The pulse
duration is 50 ns, the radiation flux density is 2×108 - 5×109 W/cm2.</p>
      <p>Experiments conducted on laser shock wave treatment of ZnO nanopowder using a thermal
protective copper screen showed that a large number of dimples are formed on the reverse side of the
copper foil (Figure 2).</p>
      <p>There are two possible mechanisms for the formation of these dimples: the first is caused by the
pressing of ZnO conglomerates into the surface of copper (stamping effect), since the nanopowder has
a higher hardness than copper, the second is related to the chipping pulse due to the passage of a shock
wave through the material.</p>
      <p>With help of a laser possible to accelerate small particles of materials to high speeds (≤10 km/s). In
this way, it is possible to simulate the impact of micrometeoroids on the surface of various spacecraft.
This can reduces the risks of damage to spacecraft after collision with space debris, and it can also help
to protect life and health of astronauts.</p>
      <p>a
b
Figure 2. Scheme of laser shock wave processing of ZnO nanopowder (a) and SEM image of the reverse
side of copper screen after processing (b): 1 - transparent condensed medium; 2 - thermal protective
copper screen; 3 – ZnO nanopowder, 4 - steel substrate</p>
      <p>Based on the device for laser shock-plasma acceleration of fine-dispersed materials (Patent 86399
Ukraine, IPC C23C 24/00) was developed a new method for modeling the impact of micrometeoroids
on the surface of spacecraft materials (Figure 3).</p>
      <p>As can be seen from the figure, when aluminum microparticles collide with a target made of the
same aluminum, defects (dimples or craters) form on the surface. The shape and size of the craters
depend on the shape and size of the microparticles, as well as on the parameters of the laser pulse.</p>
      <p>Also, with the help of lasers, it is possible to change the structure of the material at depths
significantly exceeding the depth of the thermal action of the laser pulse. Thus, after irradiation of
titanium through a transparent condensed medium without a thermal protective coating, its strength
increased, and plasticity decreased. The study of fractography of titanium samples after static stretching
showed a decrease in the number of pores in the material after laser treatment due to the passage of the
shock wave, which can be the reason for the change in mechanical properties. (Figure 4).</p>
    </sec>
    <sec id="sec-3">
      <title>3. Defects analysis on the surface of materials</title>
      <p>
        The algorithm for SEM images analyzing is based on a matrix model [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ], that is, we consider
a gray image from an electron microscope as a matrix of size m by n, where m and n are the width and
height of the image in pixels, and the number is the shade of gray (from 0 to 255 shades, 0 - maximum
black, 255 - maximum white).
      </p>
      <p>Then we conducted an empirical elemental analysis and found that the defects in the SEM images
have a shade from 0 to 50, and the base material has a shade from 51 to 255. In this way, we can convert
a gray image to binary (black and white), where all shades up to 50 will be equal to 0, and shades from
51 to 255 will be equal to 1.</p>
      <p>Then we can calculate the number of black pixels in the received image, this number will be equal
to the number of defects on the surface. After that, we can compare the number of black pixels to the
total number of pixels in the image, that is, look for the ratio of the area of defects to the area of the
entire surface of the material. Or we can compare the areas of defects before and after laser treatment
on two different images.</p>
      <p>Image analysis of the copper screen reverse side with the help of the proposed model using the
MATLAB (Figure 5) showed that the ratio of the area of dimples to the area of the entire material is
18.28%.</p>
      <p>a
a
b
b</p>
      <p>Surface analysis of the aluminum target after aluminum microparticles impact with help of the
proposed model (Figure 6) showed that the ratio of the area of the formed craters to the area of the
entire material is 0.95%.</p>
      <p>Fractography analysis of titanium before (Figure 7) and after (Figure 8) laser shock wave treatment
using the proposed algorithm showed that the ratio of the pore areas before and after irradiation to the
area of the entire material decreased from 4.19% to 1.95%, or approximately 2.15 times.
a
b</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusions</title>
      <p>There are many different ways to determine defects on the surface of materials after laser treatment.
Some of them are connected with the use of special devices, and some with the use of special algorithms,
models and software products for automatic identification and calculation of created defects. Each of
the means has its advantages and disadvantages.</p>
      <p>The work presents various types of defects after laser processing, which was used in our previous
experiments. The proposed model allows to quantitatively estimate the number of defects after laser
processing. The model for analyzing SEM images makes it possible to obtain the values of defect areas
in relation to the base material. The analysis algorithm is based on a matrix model implemented in
MATLAB. This is important for a more accurate and high-quality selection of laser processing
parameters in order to create materials with predetermined structure and properties. In addition, such
model can facilitate the calculation of surface defects for scientists, engineers and technologists.</p>
    </sec>
    <sec id="sec-5">
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