Stress analysis for two-dimensional thin structural problems using the meshless singular boundary method

DOI10.1016/j.enganabound.2015.03.017zbMath1403.74057OpenAlexW2085697751WikidataQ58011532 ScholiaQ58011532MaRDI QIDQ1654759

Bo Zhang, Wen Chen, Yan Gu

Publication date: 9 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.03.017

zbMATH Keywords

method of fundamental solutionssingular boundary methodmeshless boundary collocation methodelasticity problemsnearly singular kernelsthin structural problems

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Thin films (74K35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

A coupled FE-BIE model for the static analysis of Timoshenko beams bonded to an orthotropic elastic half-plane ⋮ Modeling of thermo-mechanical fracture behaviors based on cohesive segments formulation ⋮ Debonding of FRP and thin films from an elastic half-plane using a coupled FE-BIE model ⋮ Physics-informed neural networks for analysis of 2D thin-walled structures ⋮ A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics ⋮ The singular boundary method for two-dimensional static thermoelasticity analysis ⋮ Boundary moving least square method for 2D elasticity problems

Cites Work

• Unnamed Item
• Infinite domain potential problems by a new formulation of singular boundary method
• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• A new boundary meshfree method with distributed sources
• Interface integral BEM for solving multi-medium heat conduction problems
• The singular boundary method: mathematical background and application in orthotropic elastic problems
• Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity
• Meshless methods: a review and computer implementation aspects
• 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
• The meshless regular hybrid boundary node method for 2D linear elasticity.
• Variational formulations for TFEM of piezoelectricity.
• Isogeometric analysis enhanced by the scaled boundary finite element method
• An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation
• 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
• Some recent results and proposals for the use of radial basis functions in the BEM
• Heritage and early history of the boundary element method
• A fast multipole accelerated method of fundamental solutions for potential problems
• Novel meshless method for solving the potential problems with arbitrary domain
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• Postbuckling analysis of thin plates by a hybrid Trefftz finite element method
• A survey of applications of the MFS to inverse problems
• A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
• Heat diffusion in layered media via the thin-layer method
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• The method of fundamental solutions for non‐linear thermal explosions
• Hybrid‐Trefftz finite element method for heat conduction in nonlinear functionally graded materials
• BEM for thermoelasticity and elasticity with body force -- a revisit

This page was built for publication: Stress analysis for two-dimensional thin structural problems using the meshless singular boundary method