A three-dimensional inverse problem for inhomogeneities in elastic solids

DOI10.1007/BF00043586zbMath0585.73010MaRDI QIDQ1070854

Bahir H. Eldiwany, Lewis T. Wheeler

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Newtonian potentialinfinite elastic matrixellipsoids furnish the solutionExact and general expressions for the stress and displacementminimized stress concentrationplane deformation problemshape of an inhomogeneitystress components are uniform on the boundary of the inhomogeneityuniform applied stresses at infinity

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70)

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Inhomogeneities of Minimum Stress Concentration, Coated non-elliptical harmonic inclusions with internal uniform hydrostatic stresses, ``Bubble-and-grain method and criteria for optimal positioning inhomogeneities in topological optimization, Isogeometric shape optimization for quasi-static processes, On an inverse thermo-elasticity problem for an infinite medium containing a cavity of unknown shape, Two-dimensional inverse problem of thermoelasticity for a medium with an elastic discontinuity, Inverse three-dimensional elasticity theory problem for an isotropic medium with A deformable inclusion, A three-dimensional inverse problem of thermoelasticity for a medium with an elastic inhomogeneity

Cites Work

• On voids of minimum stress concentration
• Inverse problems of the plane theory of elasticity
• On the role of constant-stress surfaces in the problem of minimizing elastic stress concentration
• On rigid inclusions of minimum stress concentration
• Dislocations in visco-elastic materials
• The Problem of Minimizing Stress Concentration at a Rigid Inclusion
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