Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics

DOI10.1016/j.enganabound.2010.02.005zbMath1267.74128OpenAlexW2015617804MaRDI QIDQ351605

Ming-Gong Lee, Po-Chun Chu, Lih-Jier Young, Zi Cai Li

Publication date: 8 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.02.005

zbMATH Keywords

elastostaticsmethod of fundamental solutionsTrefftz methodcollocation Trefftz methodcrack singularitycombined method

Mathematics Subject Classification ID

Related Items (15)

Neumann problems of 2D Laplace's equation by method of fundamental solutions ⋮ Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Solution of the first biharmonic problem by the Trefftz method ⋮ Solution for a problem of linear plane elasticity with mixed boundary conditions on an ellipse by the method of boundary integrals ⋮ Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Solution of a problem linear plane elasticity with mixed boundary conditions by the method of boundary integrals ⋮ Error analysis of the method of fundamental solutions for linear elastostatics ⋮ Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals ⋮ Collocation Trefftz methods for the stokes equations with singularity ⋮ Comparison of different methods for choosing the collocation points in the boundary collocation method for 2D-harmonic problems with special purpose Trefftz functions ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions ⋮ Numerical solution of non-Newtonian fluid flow and heat transfer problems in ducts with sharp corners by the modified method of fundamental solutions and radial basis function collocation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential quadrature Trefftz method for Poisson-type problems on irregular domains
• Combinations of method of fundamental solutions for Laplace's equation with singularities
• Applications of the modified Trefftz method for the Laplace equation
• Differential quadrature Trefftz method for irregular plate problems
• Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
• Revisit of two classical elasticity problems by using the Trefftz method
• Mode III fracture analysis by Trefftz boundary element method
• Hybrid-Trefftz stress and displacement elements for axisymmetric incompressible biphasic media
• Radial basis collocation methods for elliptic boundary value problems
• Hybrid-Trefftz quadrilateral elements for thick plate analysis
• The method of fundamental solutions for annular shaped domains
• Contribution to free boundary problems using boundary elements: Trefftz approach
• Trefftz method: Elastic and elastoplastic problems
• Penalty-combined method and applications in solving elliptic problems with singularities
• A combined method for solving elliptic problems on unbounded domains
• Complex fundamental solutions and complex variables boundary element method in elasticity
• The method of fundamental solutions for elliptic boundary value problems
• A linear least-squares MFS for certain elliptic problems
• Trefftz indirect method applied to nonlinear potential problems
• Resolution of three-dimensional Stokes fluid flows using a Trefftz method
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• Hybrid-Trefftz finite element method for Reissner plates on an elastic foundation
• An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
• Crack analysis using an enriched MFS domain decomposition technique
• The singular function boundary integral method for biharmonic problems with crack singularities
• Applications to multi-region Trefftz-collocation to fracture mechanics
• Formulation of elastostatic hybrid-Trefftz stress elements
• A hybrid Trefftz plane elasticity element with drilling degrees of freedom
• Collocation methods for Poisson's equation
• Effective condition number for finite difference method
• On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
• Anisotropic thin plate bending problems by Trefftz boundary collocation method
• The method of fundamental solutions: a weighted least-squares approach
• Stress intensity factor computation using the method of fundamental solutions
• A family of quadrilateral hybrid-Trefftz \(p\)-elements for thick plate analysis
• Highly accurate solutions of Motz's and the cracked beam problems
• Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• The Almansi method of fundamental solutions for solving biharmonic problems
• Singular finite elements for the fracture analysis of V-notched plate
• The dual boundary element method: Effective implementation for crack problems
• Hybrid trefftz plane elasticity elements withp -method capabilities
• The simple layer potential method of fundamental solutions for certain biharmonic problems
• HYBRID-TREFFTZ EQUILIBRIUM MODEL FOR CRACK PROBLEMS
• Recent developments of the Trefftz method for finite element and boundary element applications

This page was built for publication: Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics