Uniform in-plane stresses and strains inside an incompressible nonlinear elastic elliptical inhomogeneity

DOI10.1016/J.EUROMECHSOL.2023.105085zbMath1526.74009MaRDI QIDQ6049491

Peter Schiavone, Xu Wang

Publication date: 15 September 2023

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

uniquenessboundary value problemMuskhelishvili complex variable representationpower-law materialplane incompressible nonlinear elasticityuniform remote in-plane stress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

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• Application of complex variables and pseudo-stress function to power-law materials and stress analysis of single inclusion in power-law materials subjected to simple tension and pure shear
• An investigation of void formation on a bonded interface of power law creep materials containing a cylindrical particle
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• Singular behaviour at the end of a tensile crack in a hardening material
• Elastic inclusion problems in plane elastostatics
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• On the Elliptic Inclusion in Anti-Plane Shear
• ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE

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