Fundamental-solution-based finite element model for plane orthotropic elastic bodies

DOI10.1016/j.euromechsol.2010.05.003zbMath1481.74703OpenAlexW2082349249MaRDI QIDQ2034353

Hui Wang, Qing-Hua Qin

Publication date: 21 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2010.05.003

zbMATH Keywords

fundamental solutionplatehybrid finite element methodintra-element displacement fieldtwo-dimensional orthotropic material

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Hybrid fundamental solution based finite element method: theory and applications ⋮ Boundary integral based graded element for elastic analysis of 2D functionally graded plates ⋮ Improved hybrid boundary solution for shell elements ⋮ Efficient fundamental solution based finite element for 2-D dynamics ⋮ Voronoi Polygonal Hybrid Finite Elements and Their Applications ⋮ Solving the nonlinear Poisson-type problems with F-Trefftz hybrid finite element model ⋮ A hybrid fundamental-solution-based 8-node element for axisymmetric elasticity problems ⋮ Numerical implementation of local effects due to two-dimensional discontinuous loads using special elements based on boundary integrals ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems ⋮ A Hybrid Fundamental-Solution-Based Finite Element Method for Transient Heat Conduction Analysis of Two-Dimensional Orthotropic Materials ⋮ \(n\)-sided polygonal hybrid finite elements with unified fundamental solution kernels for topology optimization ⋮ Fundamental-solution-based hybrid finite element with singularity control for two-dimensional mixed-mode crack problems

Uses Software

• Matlab
• ABAQUS

Cites Work

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• A finite-strain model for anisotropic viscoplastic porous media. I : Theory
• Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
• Variational formulations for TFEM of piezoelectricity.
• Parameter identification for two-dimensional orthotropic material bodies by the boundary element method
• Hybrid-Trefftz finite element method for Reissner plates on an elastic foundation
• A meshless method for generalized linear or nonlinear Poisson-type problems
• Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
• Local boundary integral equations for orthotropic shallow shells
• Dual variational formulation for Trefftz finite element method of elastic materials
• A meshless model for transient heat conduction in functionally graded materials
• A family of quadrilateral hybrid-Trefftz \(p\)-elements for thick plate analysis
• Solution of orthotropic plates based on p-extension of the hybrid-Trefftz finite element model
• The hybrid-Trefftz finite element model and its application to plate bending
• Application of hybrid-Trefftz element approach to transient heat conduction analysis
• Nonlinear analysis of thick plates by HT FE approach
• Analysis of orthotropic thick plates by meshless local Petrov–Galerkin (MLPG) method

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