On the removal of the non-uniqueness in the solution of elastostatic problems by symmetric Galerkin BEM

DOI10.1002/nme.1605zbMath1110.74867OpenAlexW2168506020MaRDI QIDQ3440518

Vladislav Mantič, Federico París, Roman Vodička

Publication date: 22 May 2007

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1605

zbMATH Keywords

linear elasticityrigid body motionFredholm theorysolution uniquenessboundary integral equations (BIE)symmetric Galerkin boundary element method (SGBEM)domain with cavities

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Related Items (11)

Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity ⋮ Two variational formulations for elastic domain decomposition problems solved by SGBEM enforcing coupling conditions in a weak form ⋮ Analysis of elastostatic problems using a semi-analytical method with diagonal coefficient matrices ⋮ Note on the removal of rigid body motions in the solution of elastostatic traction boundary value problems by SGBEM ⋮ Numerical solution of the t-version complex variable boundary integral equation for the interior region in plane elasticity ⋮ Lower bound limit analysis by BEM: convex optimization problem and incremental approach ⋮ On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity ⋮ The planar Dirichlet problem for the Stokes equations ⋮ Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM ⋮ On the role of singular and hypersingular BIEs for the BVPs containing a degenerate boundary ⋮ Coupling of BEM with a large displacement and rotation algorithm

Uses Software

• SERBA

Cites Work

• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
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