Numerical solution of Eshelby's elastic inclusion problem in plane elasticity by using boundary integral equation

DOI10.1016/J.ENGANABOUND.2016.03.014zbMath1403.74153OpenAlexW2315213786MaRDI QIDQ1655073

Yi-Zhou Chen

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.03.014

zbMATH Keywords

elliptic inclusioncomplex variable boundary integral equation methodEshelby's inclusion in plane elasticitysquare-type inclusion with round cornersstress distribution along interface

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (1)

Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations

Cites Work

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• Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
• Boundary integral equation method for two dissimilar elastic inclusions in an infinite plate
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• On the uniform stress state inside an inclusion of arbitrary shape in a three-phase composite
• Closed form solution and numerical analysis for Eshelby's elliptic inclusion in plane elasticity
• Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity
• A new integral equation formulation of two-dimensional inclusion-crack problems
• The arithmetic mean theorem of Eshelby tensor for a rotational symmetrical inclusion
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Null-Field Approach for the Multi-inclusion Problem Under Antiplane Shears

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