The determination of the elastic field of a polygonal star shaped inclusion

DOI10.1016/S0093-6413(97)00052-9zbMath0896.73010OpenAlexW2029942305MaRDI QIDQ1373216

Toshio Mura

Publication date: 11 October 1998

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0093-6413(97)00052-9

zbMATH Keywords

uniform stress fieldnon-uniform stress fielduniform eigenstrain

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10)

Related Items (14)

Uniformity of stresses inside a hypotrochoidal inhomogeneity ⋮ Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity ⋮ Solution for Eshelby's elliptic inclusion with polynomials distribution of the eigenstrains in plane elasticity ⋮ The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics ⋮ Misfit stress and energy in composite nanowire with polygonal core ⋮ The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-elliptical cross section ⋮ Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media ⋮ Uniform fields inside two non-elliptical inclusions ⋮ Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity ⋮ Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture ⋮ Proof of the strong Eshelby conjecture for plane and anti-plane anisotropic inclusion problems ⋮ Eshelby's problem of non-elliptical inclusions ⋮ Closed form solution and numerical analysis for Eshelby's elliptic inclusion in plane elasticity ⋮ Inclusion-based boundary element method for virtual experiments of particulate composites containing arbitrarily shaped inhomogeneities

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