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

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...

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Vydáno v:Engineering analysis with boundary elements Ročník 177; s. 106259
Hlavní autoři: Patel, Krupal, Barthel, Etienne, Ciccotti, Matteo
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.08.2025
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ISSN:0955-7997
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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.
AbstractList 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.
ArticleNumber 106259
Author Patel, Krupal
Ciccotti, Matteo
Barthel, Etienne
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  givenname: Krupal
  orcidid: 0009-0006-7309-9189
  surname: Patel
  fullname: Patel, Krupal
  email: krupalpatel12@hotmail.com
  organization: Department of Engineering Science, University of Oxford, OX1 3PJ, Oxford, United Kingdom
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  givenname: Etienne
  orcidid: 0000-0002-9797-1908
  surname: Barthel
  fullname: Barthel, Etienne
  email: etienne.barthel@espci.fr
  organization: Soft Matter Sciences and Engineering Lab, ESPCI Paris, PSL University, CNRS, Sorbonne Université, 75005 Paris, France
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  givenname: Matteo
  orcidid: 0000-0003-2707-9217
  surname: Ciccotti
  fullname: Ciccotti, Matteo
  email: matteo.ciccotti@espci.fr
  organization: Soft Matter Sciences and Engineering Lab, ESPCI Paris, PSL University, CNRS, Sorbonne Université, 75005 Paris, France
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Keywords Finite element method
Boundary element method
Poker-chip test
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Snippet We present a computationally efficient Python algorithm based on the Boundary Element Method (BEM) for frictionless linear elastic axisymmetric contact of...
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SubjectTerms Boundary element method
Finite element method
Poker-chip test
Title Indentation of axisymmetric rigid punch: Model implementation by a Python Algorithm
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