Method of fundamental solution for thin plate resting on elastic foundation with in-plane forces

DOI10.1016/J.ENGANABOUND.2024.105767MaRDI QIDQ6578005

Xiaobing Yan, Author name not available (Why is that?), Mengxiao Wang, P. H. Wen

Publication date: 24 July 2024

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

zbMATH Keywords

Kirchhoff plateelastic foundationmethod of fundamental solutionstatics and dynamics

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

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• The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
• The fundamental solution of mindlin plates resting on an elastic foundation in the Laplace domain and its applications
• Boundary element analysis of thick Reissner plates on two-parameter foundation
• A boundary element method for dynamic plate bending problems
• An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability
• An integral equation formulation of plate bending problems
• The Boundary Integral Equation Method for Plates Resting on a Two-Parameter Foundation
• Application of the boundary integral equation method to Reissner's plate model
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• A boundary element formulation for a Reissner plate on a Pasternak foundation
• The method of functional equations for the approximate solution of certain boundary value problems

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