Note on the removal of rigid body motions in the solution of elastostatic traction boundary value problems by SGBEM

DOI10.1016/j.enganabound.2006.04.002zbMath1195.74267OpenAlexW2054308097MaRDI QIDQ1958228

Federico París, Vladislav Mantič, Roman Vodička

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.04.002

zbMATH Keywords

linear elasticityrigid body motionFredholm theoryboundary integral equations (BIE)symmetric Galerkin boundary element method (SGBEM)

Mathematics Subject Classification ID

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

Related Items

On the removal of rigid body motions in the interior BVP of plane elasticity by using node support in conjunction with least square technique ⋮ Cohesive-zone-model formulation and implementation using the symmetric Galerkin boundary element method for homogeneous solids ⋮ A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems ⋮ Numerical solution of the t-version complex variable boundary integral equation for the interior region in plane elasticity ⋮ On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity ⋮ Numerical test for the Neumann problem of interior BVP of plane elasticity ⋮ Integral representation of a solution of the Neumann problem for the Stokes system ⋮ 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

• Removal of the zero eigenvalues of integral operators in elastostatic boundary value problems
• Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf
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• A new formula for the \(C\)-matrix in the Somigliana identity
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• Second Kind Integral Equation Formulation of Stokes’ Flows Past a Particle of Arbitrary Shape
• Boundary elements with equilibrium satisfaction—A consistent formulation for potential and elastostatic problems
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• ON THE REMOVAL OF RIGID BODY MOTIONS IN THE SOLUTION OF ELASTOSTATIC PROBLEMS BY DIRECT BEM
• Computation of thermal stresses in quasistatic non‐stationary thermoelasticity using boundary elements
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