Revisiting the problem of a 2D infinite elastic isotropic medium with a rigid inclusion or a cavity

DOI10.1016/j.ijengsci.2018.01.001zbMath1423.74116OpenAlexW2792974968MaRDI QIDQ1625099

Qi-Chang He, Wennan Zou

Publication date: 28 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2018.01.001

zbMATH Keywords

stress concentrationcavityrigid inclusionLaurent polynomialK-M potentialsrelative rigid-body displacement

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05)

Related Items (4)

Nonlinear biomechanics of bifurcated atherosclerotic coronary arteries ⋮ Perturbation of the elastic and thermoelectric fields caused by a rigid inclusion in a thermo-electro-elastic full plane ⋮ Analytical solutions of the magnetic and stress fields on a soft ferromagnetic material containing a smooth rigid inclusion in two-dimensional space ⋮ A review on the biomechanics of coronary arteries

Cites Work

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• Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
• A parametric study of the complex variable method for analyzing the stresses in an infinite plate containing a rigid rectangular inclusion
• Effective elastic properties of solids with two-dimensional inclusions of irregular shapes
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The elastic field outside an ellipsoidal inclusion
• Cavities vis-a`-vis Rigid Inclusions and Some Related General Results in Plane Elasticity
• Solutions to the Eshelby conjectures
• Shear compliance of two-dimensional pores possessing N -fold axis of rotational symmetry

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