Meshless local boundary integral equation method for simply supported and clamped plates resting on elastic foundation.

DOI10.1016/S0045-7825(02)00505-4zbMath1083.74603MaRDI QIDQ1871038

Jan Sladek, Herbert A. Mang, Vladimir Sládek

Publication date: 6 May 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Pasternak foundationmoving least square approximation

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

The regular hybrid boundary node method in the bending analysis of thin plate structures subjected to a concentrated load, A coupled BEM-ALEM approach for analysis of elastic thin plates on multilayered soil with anisotropic permeability, Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading, The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations, The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method, Local radial basis function collocation method for bending analyses of quasicrystal plates, Implementation of meshless LBIE method to the 2D non-linear SG problem, A BEM-based meshless method for plates on biparametric elastic foundation with internal supports, Winkler plate bending problems by a truly boundary-only boundary particle method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• Local boundary integral equation analysis of elastostatics problems using series expansions
• Meshless methods: An overview and recent developments
• The method of finite spheres
• Numerical integration of singularities in meshless implementation of local boundary integral equations
• The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• An integral equation formulation of plate bending problems
• The Boundary Integral Equation Method for Plates Resting on a Two-Parameter Foundation
• Analysis of Clamped Plates on Elastic Foundation by the Boundary Integral Equation Method
• Simply supported plates by the boundary integral equation method
• A local boundary integral equation method for potential problems
• On the estimation of the deformability characteristics of an isotropic elastic soil medium by means of a vane test
• Computation of thermal stresses in quasistatic non‐stationary thermoelasticity using boundary elements
• Meshless formulations for simply supported and clamped plate problems
• Elastic and Viscoelastic Foundation Models