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Elastic–plastic torsion problem with non-linear hardenings using the method of fundamental solution
In the current research, a torsion of isotropic prismatic rods with elastic–plastic behavior under non-linear hardening behavior, such as Swift, Voce, and Ramberg–Osgood relations, is investigated with the method of fundamental solutions. Based on the Saint–Venant displacement assumption and deformation theory of plasticity for the stress–strain relation, the non-linear boundary value problem for the stress function is formulated. The purpose of the current research is study the elastic–plastic torsion problem with non-linear hardenings in a new simple form and solving the presented equations with the method of fundamental solutions and radial basis functions. The non-linear torsion problem is solved by means of the Picard iteration method. The proposed algorithm is based on solution of the linear Poisson equation at each iteration step.
Elastic–plastic torsion problem with non-linear hardenings using the method of fundamental solution
In the current research, a torsion of isotropic prismatic rods with elastic–plastic behavior under non-linear hardening behavior, such as Swift, Voce, and Ramberg–Osgood relations, is investigated with the method of fundamental solutions. Based on the Saint–Venant displacement assumption and deformation theory of plasticity for the stress–strain relation, the non-linear boundary value problem for the stress function is formulated. The purpose of the current research is study the elastic–plastic torsion problem with non-linear hardenings in a new simple form and solving the presented equations with the method of fundamental solutions and radial basis functions. The non-linear torsion problem is solved by means of the Picard iteration method. The proposed algorithm is based on solution of the linear Poisson equation at each iteration step.
Elastic–plastic torsion problem with non-linear hardenings using the method of fundamental solution
Archiv.Civ.Mech.Eng
Moayyedian, Farzad (author) / Grabski, Jakub Krzysztof (author)
2021-09-23
Article (Journal)
Electronic Resource
English
Elastic–plastic torsion problem with non-linear hardenings using the method of fundamental solution
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