An energy approach to the boundary element method. I: Elastic solids

DOI10.1016/0045-7825(88)90186-7zbMath0629.73069OpenAlexW2023962874MaRDI QIDQ1094200

Castrenze Polizzotto

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90186-7

zbMATH Keywords

symmetryboundary element methodboundary value problemenergy formulationdisplacementselastic-plasticelastic solidsbody actionscontinuously specifieddefiniteness properties of elastic continuum operatorsgeneralized bounded tractionsgeneralized load parametersimposed strainsmixed-form variational principlethermal strainswell-posed discretized

Mathematics Subject Classification ID

Related Items (26)

Symmetric Galerkin BEM for bodies with unconstrained contours ⋮ An energy approach to the boundary element method. II: Elastic-plastic solids ⋮ The symmetric boundary element method for unilateral contact problems ⋮ Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains ⋮ Symmetric BE method in two-dimensional elasticity: Evaluation of double integrals for curved elements ⋮ Symmetric Galerkin boundary element method in plasticity and gradient plasticity ⋮ Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: Thermal conduction formulation ⋮ A unifying variational framework for stress gradient and strain gradient elasticity theories ⋮ A Galerkin symmetric and direct BIE method for Kirchhoff elastic plates: formulation and implementation ⋮ Active macro-zone approach for incremental elastoplastic-contact analysis ⋮ Analytical integrations in 2D BEM elasticity ⋮ Displacement approach with external variables only for multi-domain analysis via symmetric BEM ⋮ Closed form coefficients in the symmetric boundary element approach ⋮ BIEM-based variational principles for elastoplasticity with unilateral contact boundary conditions ⋮ Numerical determination of limit loads for three-dimensional structures using boundary element method. ⋮ Coupling BEM with FEM by a direct computation of the boundary stiffness matrix ⋮ Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity ⋮ Computational aspects in 2D SBEM analysis with domain inelastic actions ⋮ Elastoplastic analysis by active macro-zones with linear kinematic hardening and von Mises materials ⋮ A symmetric Galerkin BEM for plate bending analysis ⋮ Internal springs distribution for quasi-brittle fracture via symmetric boundary element method ⋮ Revisited mixed-value method via symmetric BEM in the substructuring approach ⋮ High order boundary and finite elements for 3D fracture propagation in brittle materials ⋮ Elastoplastic analysis using quasi‐higher order symmetric Galerkin boundary element method ⋮ A symmetric Galerkin boundary/domain element method for finite elastic deformations ⋮ Boundary integral equation analysis in linear viscoelasticity: Variational and saddle point formulations

Cites Work

• A Galerkin approach to boundary element elastoplastic analysis
• A direct formulation and numerical implementation of the boundary element method for two-dimensional problems of elasto-plasticity
• General stress analysis method by means of integral equations and boundary elements
• Recent advances in boundary element analysis methods
• Numerical solutions in three dimensional elastostatics
• An integral equation approach to boundary value problems of classical elastostatics
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