Indentation of axisymmetric rigid punch: Model implementation by a Python Algorithm

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-04-26 DOI:10.1016/j.enganabound.2025.106259

Krupal Patel , Etienne Barthel , Matteo Ciccotti

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引用次数: 0

Abstract

We present a computationally efficient Python algorithm based on the Boundary Element Method (BEM) for frictionless linear elastic axisymmetric contact of coated solids. The algorithm solves indentation problems using conical, spherical, and cylindrical flat indenters, with results also reported for flat punch indentation on a soft-coated substrate. To validate BEM, we implement Finite Element Method (FEM) simulations, analyzing soft layers with Poisson ratios of 0.25, 0.4, and 0.49, aspect ratios from 0.25 to 10, and modulus mismatches of 10 and 100. BEM and FEM show good agreement for compressible soft layers but diverge as incompressibility increases. For Poisson’s ratio of 0.4999, BEM fails due to confinement effects. We verify FEM results using the Poker-chip test, confirming accuracy in highly confined, nearly incompressible cases. For compressible soft layer and large aspect ratios, we found good agreement between BEM and analytical result of Poker-chip test applicable in that regime.

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轴对称刚性冲床的压痕：用Python算法实现模型

提出了一种计算效率高的基于边界元法（BEM）的无摩擦线弹性轴对称接触的Python算法。该算法解决了使用锥形、球形和圆柱形平面压痕器的压痕问题，并报道了软涂层基板上的平面冲孔压痕的结果。为了验证BEM，我们实施了有限元法（FEM）仿真，分析了泊松比为0.25、0.4和0.49，纵横比为0.25至10，模量错配为10和100的软层。边界元法和有限元法对可压缩软层具有较好的一致性，但随着不可压缩性的增大而偏离。泊松比为0.4999时，边界元法由于约束效应失效。我们使用扑克测试验证FEM结果，确认在高度受限，几乎不可压缩的情况下的准确性。对于可压缩软层和大宽高比，边界元法与适用于该情况的扑克牌测试分析结果吻合较好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.