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Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach

Atroshchenko, Elena, Hale, Jack S., Videla, Javier A., Potapenko, Stanislav and Bordas, Stephane P. A. 2017. Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Engineering Analysis with Boundary Elements 83 , pp. 195-203. 10.1016/j.enganabound.2017.07.023

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Abstract

In this paper we tackle the simulation of microstructured materials modelled as heterogeneous Cosserat media with both perfect and imperfect interfaces. We formulate a boundary value problem for an inclusion of one plane strain micropolar phase into another micropolar phase and reduce the problem to a system of boundary integral equations, which is subsequently solved by the boundary element method. The inclusion interface condition is assumed to be imperfect, which permits jumps in both displacements/microrotations and tractions/couple tractions, as well as a linear dependence of jumps in displacements/microrotations on continuous across the interface tractions/couple traction (model known in elasticity as homogeneously imperfect interface). These features can be directly incorporated into the boundary element formulation. The BEM-results for a circular inclusion in an infinite plate are shown to be in an excellent agreement with the analytical solutions. The BEM-results for inclusions in finite plates are compared with the FEM-results obtained with FEniCS.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Elsevier
ISSN: 0955-7997
Date of Acceptance: 20 July 2017
Last Modified: 05 Jul 2018 13:30
URI: http://orca-mwe.cf.ac.uk/id/eprint/111997

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