New solutions for an Eshelby inclusion of arbitrary shape in a plane or two jointed half‐planes

DOI10.1002/ZAMM.202100297OpenAlexW3202975912MaRDI QIDQ6151844

Xu Wang, Peter Schiavone

Publication date: 11 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202100297

zbMATH Keywords

analytical solutionconformal mapping methodthermal inclusionmean stress field

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Thermal effects in solid mechanics (74F05) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

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• Elastic and piezoelectric fields due to polyhedral inclusions
• Effect of a thin surface coating layer on thermal stresses within an elastic half-plane
• Elastic fields in two imperfectly bonded half-planes with a thermal inclusion of arbitrary shape
• Eshelby's problem for two–dimensional piezoelectric inclusions of arbitrary shape
• Singularities interacting with interfaces incorporating surface elasticity under plane strain deformations
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems
• Antiplane Eigenstrain Problem of an Elliptic Inclusion in a Two-Phase Anisotropic Medium
• Elastic fields in two jointed half-planes with an inclusion of arbitrary shape.

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