Elastic-plastic torsion problem with non-linear hardenings using the method of fundamental solution

• Autorzy: Moayyedian Farzad , Grabski Jakub Krzysztof

Identyfikatory

DOI

10.1007/s43452-021-00307-2

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

elastic-plastic torsion; non-linear hardening; Swift; Voce; Ramberg-Osgood; method of fundamental solutions

PL

utwardzanie; pręt pryzmatyczny; naprężenie

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2021
• Tom: Vol. 21, no. 4
• Strony: 334--354
• Opis fizyczny: Bibliogr. 44 poz., wykr.

Twórcy

autor

Moayyedian Farzad

• Department of Mechanical Engineering, Eqbal Lahoori Institute of Higher Education, Mashhad, Iran

• https://orcid.org/0000-0003-1817-8184

autor

Grabski Jakub Krzysztof

• Institute of Applied Mechanics, Poznan University of Technology, Jana Pawła II 24, 60-965 Poznan, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)