Boundary element method for calculation of effective elastic moduli in 3D linear elasticity

DOI10.1002/mma.1233zbMath1203.74143OpenAlexW2032277777MaRDI QIDQ3560262

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Publication date: 19 May 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1233

zbMATH Keywords

Galerkin method\(H\)-matrixadaptive cross-approximation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Effective constitutive equations in solid mechanics (74Q15)

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Combining Maxwell's methodology with the BEM for evaluating the two-dimensional effective properties of composite and micro-cracked materials

Cites Work

• Unnamed Item
• Matlab implementation of the finite element method in elasticity
• Elastic behavior of composites containing Boolean random sets of inhomogeneities
• A parallel fast multipole BEM and its applications to large-scale analysis of 3-D fiber-reinforced composites
• Prediction of elastic properties of heterogeneous materials with complex microstructures
• Adaptive low-rank approximation of collocation matrices
• A robust boundary element method for nearly incompressible linear elasticity
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Approximation of boundary element matrices
• Integration of singular integrals for the Galerkin-type boundary element method in 3D elasticity
• Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation
• Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials
• The fast multipole method for the symmetric boundary integral formulation
• Random heterogeneous materials. Microstructure and macroscopic properties