Abstract

The paper compares analytical and numerical solutions for two-dimensional solid mechanics problems of elastic bimaterial composites with a nanosized interface relief that arises on a boundary between two bulk layers and on an interface of a nearly circular inclusion. It is supposed that the uniform stress state takes place at infinity. Here, we use Gurtin - Murdoch model in which interphase domains are represented as negligibly thin layers ideally adhering to the bulk phases. Static boundary conditions at the interface are formulated according to the generalized Laplace - Young law. To solve corresponding boundary value we use first-order boundary perturbation method based on Goursat - Kolosov complex potentials. To examine the perturbation results, we use a finite element calculations.

Original languageEnglish
Title of host publication8th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2019
EditorsEugenio Onate, Manolis Papadrakakis, Bernhard A. Schrefler
PublisherInternational Center for Numerical Methods in Engineering
Pages679-688
Number of pages10
ISBN (Electronic)9788494919459
StatePublished - 2021
Event8th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2019 - Barcelona, Spain
Duration: 3 Jun 20195 Jun 2019

Publication series

Name8th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2019

Conference

Conference8th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2019
CountrySpain
CityBarcelona
Period3/06/195/06/19

Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Keywords

  • 2-D problem
  • Bimaterial composites
  • Boundary perturbation method
  • Finite element method
  • Interfacial stress
  • Nanomaterials

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