Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods

DOI10.1016/j.enganabound.2011.06.010zbMath1245.74031OpenAlexW1986075996MaRDI QIDQ444796

Piotr Gorzelańczyk, Jan Adam Kołodziej

Publication date: 24 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.06.010

zbMATH Keywords

elasticradial basis functionsmethod of fundamental solutionsdeformation theory of plasticityPicard iteration methodplastic torsionwork-hardening material

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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Cites Work

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• Asymptotic stability of the fundamental solution method
• The method of fundamental solutions for elliptic boundary value problems
• Determination of elastoplastic properties of a bimetallic and hollow bar
• The method of fundamental solutions for scattering and radiation problems.
• An inverse problem related to the determination of elastoplastic properties of a cylindrical bar
• Springback analysis of thin rectangular bars of non-linear work-hardening materials under torsional loading.
• The collocation points of the fundamental solution method for the potential problem
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• Plastic analysis of torsion of a prismatic beam
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• The method of functional equations for the approximate solution of certain boundary value problems
• Finite element analysis of Saint-Venant torsion problem with exact integration of the elastic-plastic constitutive equations

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