A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies

DOI10.1016/0045-7825(86)90124-6zbMath0566.73070OpenAlexW2066139516MaRDI QIDQ1059442

Herbert A. Mang, Hong-Bao Li, Paul Torzicky, Guo-Ming Han

Publication date: 1986

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(86)90124-6

zbMATH Keywords

transformationprinciple of virtual displacementsBEM-related traction-displacement equationsbi-condensationcoupling of subregionsdiscontinuous tractions along the edgesdiscretized by means of finite elements (FE) and boundary elements (BE)edge problemsFEM-like force-displacement relationsinversion of BEM-related coefficient matriceslocal FE coupling approachnodal degrees of freedomprinciple of minimum of potential energyunsymmetric or symmetric coefficient matrices

Mathematics Subject Classification ID

Related Items (20)

Parameter identification for coupled finite element-boundary element models ⋮ ITERATIVE SOLUTION OF COUPLED FE/BE DISCRETIZATIONS FOR PLATE-FOUNDATION INTERACTION PROBLEMS ⋮ DOMAIN DECOMPOSITION WITH BEM AND FEM ⋮ Interface dynamic stiffness matrix approach for three‐dimensional transient multi‐region boundary element analysis ⋮ Automatic coupling of ABAQUS and a boundary element code for dynamic elastoplastic problems ⋮ Symmetric Galerkin boundary element method in plasticity and gradient plasticity ⋮ On the mechanical inconsistency of symmetrization of unsymmetric coupling matrices for BEFEM discretizations of solids ⋮ Finite element method and boundary element method iterative coupling algorithm for 2-D elastodynamic analysis ⋮ An implementation and numerical experiments of the FEM‐BEM coupling for the elastodynamic wave equation in 3D ⋮ Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach. ⋮ Local effects in engineering with macro-elements ⋮ Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity ⋮ A variationally coupled FE-BE method for elasticity and fracture mechanics ⋮ Iterative coupling of BE and FE methods in elastostatics ⋮ Issues in merging the finite element and boundary integral equation methods ⋮ Dynamic response in the time domain by coupled boundary and finite elements ⋮ An efficient time-domain FEM/BEM coupling approach based on FEM implicit Green's functions and truncation of BEM time convolution process ⋮ An overlapping domain decomposition approach for coupling the finite and boundary element methods. ⋮ On the formulation and local implementation of a variationally coupled finite element-boundary element method ⋮ Coupling FEM and discontinuous BEM for elastostatics and fluid-structure interaction.

Cites Work

• The derivation of stiffness matrices from integral equations
• Combination of boundary and finite elements in elastostatics
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• The coupling of the finite element method and boundary solution procedures
• Finite element, boundary element and coupled analysis of unbounded problems in elastostatics
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