Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities

DOI10.1007/s00466-010-0559-0zbMath1398.74446OpenAlexW1966402991WikidataQ58011664 ScholiaQ58011664MaRDI QIDQ539442

Jeng-Tzong Chen, Yao-Ming Zhang, Yan Gu

Publication date: 30 May 2011

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0559-0

zbMATH Keywords

boundary element methodnearly singular integralsmultilayered systemssemi-analytical integral

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Computation of nearly singular integrals in 3D BEM, Calculation of 2D nearly singular integrals over high-order geometry elements using the sinh transformation, A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM, Stress analysis of a substrate coated by nanomaterials with vacancies subjected to uniform extension load, Regularized boundary integral methods for three-dimensional potential flows, On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain, Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures, A dual interpolation boundary face method with Hermite-type approximation for elasticity problems, Non-conforming coupling RI-IGABEM for solving multidimensional and multiscale thermoelastic-viscoelastic problems, A new implementation of DRM with dual interpolation boundary face method for Poisson equation, A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM, A dual interpolation boundary face method for elasticity problems, Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method, A boundary weak singularity elimination method for multilayer structures, A dual interpolation Galerkin boundary face method for potential problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method of fundamental solutions without fictitious boundary
• Boundary element analysis of the thermal behaviour in thin-coated cutting tools
• A new boundary meshfree method with distributed sources
• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• Interface integral BEM for solving multi-medium elasticity problems
• Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
• A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
• A new transformation technique for evaluating nearly singular integrals
• Winkler plate bending problems by a truly boundary-only boundary particle method
• A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
• The method of fundamental solutions for elliptic boundary value problems
• Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
• A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
• Analytic solution for fluxes at interior points for the 2D Laplace equation.
• Exact boundary element integrations for two-dimensional Laplace equation
• The method of fundamental solutions for layered elastic materials
• A meshless, integration-free, and boundary-only RBF technique
• Meshfree boundary particle method applied to Helmholtz problems
• Three-step multi-domain BEM solver for nonhomogeneous material problems
• Interfacial stress analysis for multi-coating systems using an advanced boundary element method
• A simple finite element model for the geometrically nonlinear analysis of thin shells
• The computation of potentials near and on the boundary by an extraction technique for boundary element methods
• Singular integrals and boundary elements
• Heritage and early history of the boundary element method
• Novel meshless method for solving the potential problems with arbitrary domain
• A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
• A generalized layerwise finite element for multi-layer damping treatments
• A semi-exact method for the propagation of harmonic waves in anisotropic laminated bars of rectangular cross section
• Analysis of 2D Thin Walled Structures in BEM with High-Order Geometry Elements Using Exact Integration
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• Contact Mechanics
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Some notes on singular integral techniques in boundary element analysis
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• The method of fundamental solutions for heat conduction in layered materials
• The method of fundamental solutions for non‐linear thermal explosions
• Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model
• Boundary element method analysis of temperature fields in coated cutting tools
• Finite element analysis of hyperelastic thin shells with large strains