The method of fundamental solutions for layered elastic materials

DOI10.1016/S0955-7997(01)00002-9zbMath1008.74081OpenAlexW2091337268MaRDI QIDQ1604016

J. R. Berger, Andreas Karageorghis

Publication date: 3 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0955-7997(01)00002-9

zbMATH Keywords

domain decompositionmethod of fundamental solutionstwo-dimensional elasticityinterface continuity conditionsanisotropic bimaterial

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Composite and mixture properties (74E30)

Related Items

Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains, Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions, Improved non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems with elastic/rigid inclusions or voids, A matrix decomposition MFS algorithm for certain linear elasticity problems, Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials, Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials, Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems, Analysis of moiré data for near-interface cracks, Point forces in elasticity equation and their alternatives in multi dimensions, Analysis of linearized elasticity models with point sources in weighted Sobolev spaces: applications in tissue contraction, Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions, The method of fundamental solutions for Helmholtz-type equations in composite materials, The method of fundamental solutions for nonlinear elliptic problems, Hybrid extended displacement discontinuity-charge simulation method for analysis of cracks in 2D piezoelectric media, An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability, Virtual boundary element-integral collocation method for the plane magnetoelectroelastic solids, Simulation of heat conduction problems in layered materials using the meshless singular boundary method, Method of Fundamental Solutions Without Fictitious Boundary for Anisotropic Elasticity Problems Based on Mechanical Equilibrium Desingularization, Non-singular method of fundamental solutions for anisotropic elasticity, The method of fundamental solutions for complex electrical impedance tomography, The method of fundamental solutions for scattering and radiation problems., Weakly equilibrated basis functions for elasticity problems, Fundamental-solution-based hybrid FEM for plane elasticity with special elements, The method of fundamental solutions for anisotropic thermoelastic problems, Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory, Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities, Numerical method of crack analysis in 2D finite magnetoelectroelastic media, Numerical solution of polarization saturation/dielectric breakdown model in 2D finite piezoelectric media, A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations, Stress intensity factor computation using the method of fundamental solutions, Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations, Investigation on near-boundary solutions by singular boundary method, Mathematical foundation of the MFS for certain elliptic systems in linear elasticity, A well-conditioned method of fundamental solutions for Laplace equation, Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions, A meshless method for solving the Cauchy problem in three-dimensional elastostatics, The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation

Uses Software

• HYBRJ
• minpack

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamental solutions for the collocation method in planar elastostatics
• Methods of fundamental solutions for harmonic and biharmonic boundary value problems
• A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
• The method of fundamental solutions for elliptic boundary value problems
• Boundary integral equation formulation for interface cracks in anisotropic materials
• Dislocations and Cracks in Anisotropic Elasticity
• A comparison of the boundary element and superposition methods
• On the Logarithmic Singularity of Free-Edge Stress in Laminated Composites Under Uniform Extension
• An extension of the superposition method for plane anisotropic elastic bodies
• Fundamental solutions for the collocation method in three-dimensional elastostatics
• On the numerical stability of the method of fundamental solution applied to the Dirichlet problem
• The method of fundamental solutions for heat conduction in layered materials