Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study

DOI10.1007/S00466-006-0155-5zbMath1142.74051OpenAlexW1994628014MaRDI QIDQ937255

Jan Sladek, Chuan-Zeng Zhang, Vladimir Sládek

Publication date: 20 August 2008

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

Full work available at URL: https://doi.org/10.1007/s00466-006-0155-5

zbMATH Keywords

numerical stabilityelement-based approximationfunctionally graded solidsmeshless approximations

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Inhomogeneity in solid mechanics (74E05)

Related Items (9)

Three-dimensional analysis of functionally graded plates ⋮ The radially nonhomogeneous elastic axisymmentric problem ⋮ Non‐linear dynamic analyses by meshless local Petrov–Galerkin formulations ⋮ Meshless analyses for time-fractional heat diffusion in functionally graded materials ⋮ Galerkin finite block method in solid mechanics ⋮ The Local Point Interpolation–Boundary Element Method: Application to 3D Stationary Thermo-Piezoelectricity ⋮ Local integral equations implemented by MLS-approximation and analytical integrations ⋮ Local integral equation formulation for axially symmetric problems involving elastic FGM ⋮ A simple solution procedure to 3D-piezoelectric problems: isotropic BEM coupled with a point collocation method

Uses Software

• Mfree2D

Cites Work

• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Local Heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions.
• Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients
• Surfaces Generated by Moving Least Squares Methods
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