Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-5pp.787-806

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Algarni M., Ghazali S., and Zwawi M., "The Emerging of Stress Triaxiality and Lode Angle in Both Solid and Damage Mechanics: A Review," Mech. Solids. 56 (5), 787-806 (2021)
Year 2021 Volume 56 Number 5 Pages 787-806
DOI 10.3103/S0025654421050058
Title The Emerging of Stress Triaxiality and Lode Angle in Both Solid and Damage Mechanics: A Review
Author(s) Algarni M. (King Abdulaziz University, Mechanical Engineering Department, Faculty of Engineering, P.O. Box 344, Rabigh, 21911 Saudi Arabia, malgarni1@kau.edu.sa)
Ghazali S. (University of Jeddah, Mechanical and Material Engineering Department, Faculty of Engineering, P.O. Box 80327, Jeddah, 21589 Saudi Arabia)
Zwawi M. (King Abdulaziz University, Mechanical Engineering Department, Faculty of Engineering, P.O. Box 344, Rabigh, 21911 Saudi Arabia)
Abstract The review paper covers an overview of the early and current research related to models for both solid and damage mechanics. It addresses the most well-known phenomenological metal plasticity and ductile fracture models in these fields for monotonic loading conditions. The paper commences with a comprehensive literature review outlining the history and current state of the art of the plasticity and ductile fracture models. Then, the paper explains the principal stresses, showing how they represent a metal yield surface. Because most yield functions involve the stress invariant, an extended explanation of stress invariants' space is extensively described. Moreover, a list of coupled and non-coupled plasticity models and ductile fracture criteria are thoroughly explained chronologically to show the emerging of stress triaxiality and Lode angle in models for solid and damage mechanics. The models presented in this paper assume the material’s isotropy, homogeneity, and elastic-plastic behavior. Finally, two comparison tables demonstrating the most well-known phenomenal plasticity and fracture models for continuum mechanics are chronologically listed.
Keywords stress triaxiality, Lode angle, yield criteria, continuum material models, non-coupled plasticity models, ductile fracture models, monotonic loading, stress invariant, principle stresses, isotropic metals, deviatoric stress
Received 18 July 2020Revised 18 December 2020Accepted 22 December 2020
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