Stress analysis of inclusion problems of various shapes in an infinite anisotropic elastic medium

DOI10.1016/S0045-7825(02)00579-0zbMath1026.74076MaRDI QIDQ1400237

D. Massart

Publication date: 13 August 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

quadratic isoparametric boundary elementsinclusion-matrix interfacesinfinite anisotropic elastic inclusion problem

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Boundary element methods applied to problems in solid mechanics (74S15) Inhomogeneity in solid mechanics (74E05)

Related Items (15)

Numerical solution for elastic half-plane inclusion problems by different integral equation approaches ⋮ A novel hybrid finite element analysis of inplane singular elastic field around inclusion corners in elastic media ⋮ Dynamic behavior of a finite-sized elastic solid with multiple cavities and inclusions using BIEM ⋮ Eshelby problem of polygonal inclusions in anisotropic piezoelectric full- and half-planes ⋮ Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations ⋮ Isogeometric analysis of the new integral formula for elastic energy change of heterogeneous materials ⋮ A family of hole boundary elements for modeling materials with cylindrical voids ⋮ Boundary element implementation of doubly periodic inclusion problems ⋮ Boundary element analysis of infinite anisotropic elastic medium containing inclusions and cracks ⋮ Efficient simulation of inclusions and reinforcement bars with the isogeometric boundary element method ⋮ Eshelby problem of an arbitrary polygonal inclusion in anisotropic piezoelectric media with quadratic eigenstrains ⋮ Stress-strain field around elliptic cavities in elastic continuum ⋮ Closed form solution and numerical analysis for Eshelby's elliptic inclusion in plane elasticity ⋮ Developing a homogenization approach for estimation of in-plan effective elastic moduli of hexagonal honeycombs ⋮ Stress analysis of an infinite anisotropic elastic medium containing inclusions using the boundary point method

Cites Work

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• A hybrid finite element method for heterogeneous materials with randomly dispersed elastic inclusions
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• An integral formulation for steady-state elastoplastic contact over a coated half-plane
• A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method
• A material based finite element analysis of heterogeneous media involving Dirichlet tessellations
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems
• Stress analysis of an unbounded elastic solid with orthotropic inclusions and voids using a new integral equation technique

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