BEM analysis of multilayer thin structures using a composite transformation method for boundary integrals

DOI10.1016/j.enganabound.2021.11.007OpenAlexW3215940097WikidataQ114183198 ScholiaQ114183198MaRDI QIDQ2058180

Hongwei Hao, Wenbin He, Yudong Zhong, Liangwen Wang, Shizhe Feng, Guizhong Xie, Xin Sheng Wang, Junjian Hou, Zhiqiang Chen

Publication date: 7 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.11.007

zbMATH Keywords

boundary element methodsingular integralscoordinate transformationsinh transformationmultilayer thin structures

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
• Analysis of the temperature field in anisotropic coating-structures by the boundary element method
• An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method
• Element-subdivision method for evaluation of singular integrals over narrow strip boundary elements of super thin and slender structures
• A serendipity triangular patch for evaluating weakly singular boundary integrals
• Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
• Internal stress analysis for single and multilayered coating systems using the boundary element method
• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• Fracture mechanics analysis of two-dimensional cracked thin structures (from micro- to nano-scales) by an efficient boundary element analysis
• An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis
• A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation
• Singularity cancellation method for time-domain boundary element formulation of elastodynamics: a direct approach
• An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method
• A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
• A boundary weak singularity elimination method for multilayer structures
• The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
• Bi-directional sinh transformations based on the generalized Duffy space for nearly singular integrals
• Analytical solutions of electroelastic fields in piezoelectric thin-film multilayer: applications to piezoelectric sensors and actuators
• An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability
• On an analytical method to solve singular integrals both in space and time for 2-D elastodynamics by TD-BEM
• A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
• Thin layer approximations in mechanical structures: the Dirichlet boundary condition case
• Local boundary integral equations for orthotropic shallow shells
• Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM
• Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
• A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• On the computation of nearly singular integrals in 3D BEM collocation
• A boundary face method for potential problems in three dimensions
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• AN EFFICIENT SEMI‐ANALYTICAL INTEGRATION PROCEDURE IN THREE DIMENSIONAL BOUNDARY INTEGRAL METHOD
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
• A sinh transformation for evaluating nearly singular boundary element integrals
• Numerical calculation of weakly singular surface integrals
• BEM for thermoelasticity and elasticity with body force -- a revisit

This page was built for publication: BEM analysis of multilayer thin structures using a composite transformation method for boundary integrals