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Elastic–Plastic Analysis of Asperity Based on Wave Function.

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Title: Elastic–Plastic Analysis of Asperity Based on Wave Function.
Authors: Xu, Zijian1 (AUTHOR), Zhu, Min1 (AUTHOR) min0zhu@163.com, Wang, Wenjuan1 (AUTHOR), Guo, Ming1 (AUTHOR), Wang, Shengao1 (AUTHOR), Lu, Xiaohan1 (AUTHOR), Li, Ziwei1 (AUTHOR)
Source: Materials (1996-1944). Aug2025, Vol. 18 Issue 15, p3507. 22p.
Subjects: Wave functions, Stress concentration, Material plasticity, Mechanical behavior of materials, Surface interactions, Contact mechanics
Abstract: This paper proposes an improved wave function asperity elastic–plastic model. A cosine function that could better fit the geometric morphology was selected to construct the asperity, the elastic phase was controlled by the Hertz contact theory, the elastoplastic transition phase was corrected by the hyperbolic tangent function, and the fully plastic phase was improved by the projected area theory. The model broke through the limitations of the spherical assumption and was able to capture the stress concentration and plastic flow phenomena. The results show that the contact pressure in the elastic phase was 22% higher than that of the spherical shape, the plastic strain in the elastoplastic phase was 52% lower than that of the spherical shape, and the fully plastic phase reduced the contact area error by 20%. The improved hyperbolic tangent function eliminated the unphysical oscillation phenomenon in the elastoplastic phase and ensured the continuity and monotonicity of the contact variables, with an error of <5% from the finite element analysis. Meanwhile, extending the proposed model, we developed a rough surface contact model, and it was verified that the wavy asperity could better match the mechanical properties of the real rough surface and exhibited progressive stiffness reduction during the plastic flow process. The model in this paper can provide a theoretical basis for predicting stress distribution, plastic evolution, and multi-scale mechanical behavior in the connection interface. [ABSTRACT FROM AUTHOR]
Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Elastic–Plastic Analysis of Asperity Based on Wave Function.
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  Data: &lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Wave+functions%22&quot;&gt;Wave functions&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Stress+concentration%22&quot;&gt;Stress concentration&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Material+plasticity%22&quot;&gt;Material plasticity&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Mechanical+behavior+of+materials%22&quot;&gt;Mechanical behavior of materials&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Surface+interactions%22&quot;&gt;Surface interactions&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Contact+mechanics%22&quot;&gt;Contact mechanics&lt;/searchLink&gt;
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper proposes an improved wave function asperity elastic–plastic model. A cosine function that could better fit the geometric morphology was selected to construct the asperity, the elastic phase was controlled by the Hertz contact theory, the elastoplastic transition phase was corrected by the hyperbolic tangent function, and the fully plastic phase was improved by the projected area theory. The model broke through the limitations of the spherical assumption and was able to capture the stress concentration and plastic flow phenomena. The results show that the contact pressure in the elastic phase was 22% higher than that of the spherical shape, the plastic strain in the elastoplastic phase was 52% lower than that of the spherical shape, and the fully plastic phase reduced the contact area error by 20%. The improved hyperbolic tangent function eliminated the unphysical oscillation phenomenon in the elastoplastic phase and ensured the continuity and monotonicity of the contact variables, with an error of &lt;5% from the finite element analysis. Meanwhile, extending the proposed model, we developed a rough surface contact model, and it was verified that the wavy asperity could better match the mechanical properties of the real rough surface and exhibited progressive stiffness reduction during the plastic flow process. The model in this paper can provide a theoretical basis for predicting stress distribution, plastic evolution, and multi-scale mechanical behavior in the connection interface. [ABSTRACT FROM AUTHOR]
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  Data: &lt;i&gt;Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/ma18153507
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 22
        StartPage: 3507
    Subjects:
      – SubjectFull: Wave functions
        Type: general
      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Material plasticity
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
      – SubjectFull: Surface interactions
        Type: general
      – SubjectFull: Contact mechanics
        Type: general
    Titles:
      – TitleFull: Elastic–Plastic Analysis of Asperity Based on Wave Function.
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            NameFull: Xu, Zijian
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            NameFull: Zhu, Min
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            NameFull: Lu, Xiaohan
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            – D: 01
              M: 08
              Text: Aug2025
              Type: published
              Y: 2025
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