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oai:recercat.cat:2117/3473852026-01-21T06:27:09Zcom_2072_1033col_2072_452950

Strain localization of orthotropic elasto–plastic cohesive–frictional materials: analytical results and numerical verification Kim, Sungchul Cervera Ruiz, Miguel Wu, Jian-Ying Chiumenti, Michele Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental Centre Internacional de Mètodes Numèrics en Enginyeria Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures Materials -- Mechanical properties Localized failure Strain localization Orthotropic plasticity Cohesive–frictional materials Plasticity Materials -- Propietats mecàniques Strain localization analysis for orthotropic-associated plasticity in cohesive–frictional materials is addressed in this work. Specifically, the localization condition is derived from Maxwell’s kinematics, the plastic flow rule and the boundedness of stress rates. The analysis is applicable to strong and regularized discontinuity settings. Expanding on previous works, the quadratic orthotropic Hoffman and Tsai–Wu models are investigated and compared to pressure insensitive and sensitive models such as von Mises, Hill and Drucker–Prager. Analytical localization angles are obtained in uniaxial tension and compression under plane stress and plane strain conditions. These are only dependent on the plastic potential adopted; ensuing, a geometrical interpretation in the stress space is offered. The analytical results are then validated by independent numerical simulations. The B-bar finite element is used to deal with the limiting incompressibility in the purely isochoric plastic flow. For a strip under vertical stretching in plane stress and plane strain as well as Prandtl’s problem of indentation by a flat rigid die in plane strain, numerical results are presented for both isotropic and orthotropic plasticity models with or without tilting angle between the material axes and the applied loading. The influence of frictional behavior is studied. In all the investigated cases, the numerical results provide compelling support to the analytical prognosis. Financial support from the European Union Horizon 2020 research and innovation programme (H2020-DT-2019-1 No. 872570) under the KYKLOS 4.0 Project (An Advanced Circular and Agile Manufacturing Ecosystem based on rapid reconfigurable manufacturing process and individualized consumer preferences), the Severo Ochoa Program for Centers of Excellence in R&D (CEX2018-000797-S) and the Catalan Government ACCIO–Ris3cat Transport and PRO2 Projects is gratefully acknowledged as well as the support of the Agència de Gestió d’Ajuts Universitaris i de Recerca (AGAUR) and the European Social Fund (ESF) to S. Kim through the predoctoral FI grants (ref. num.2019FI-B00727). This work is also funded by the National Natural Science Foundation of China (51878294; 51678246), the State Key Laboratory of Subtropical Building Science (2018ZC04) to J.-Y.W. Peer Reviewed Postprint (published version) 2021-04 Article Kim, S. [et al.]. Strain localization of orthotropic elasto–plastic cohesive–frictional materials: analytical results and numerical verification. "Materials", Abril 2021, vol. 14, núm. 8, p. 2040:1-2040:29. 1996-1944 https://hdl.handle.net/2117/347385 10.3390/ma14082040 eng https://www.mdpi.com/1996-1944/14/8/2040 info:eu-repo/grantAgreement/EC/H2020/872570/EU/An Advanced Circular and Agile Manufacturing Ecosystem based on rapid reconfigurable manufacturing process and individualized consumer preferences/KYKLOS 4.0 http://creativecommons.org/licenses/by/3.0/es/ Open Access Attribution 3.0 Spain application/pdf Multidisciplinary Digital Publishing Institute (MDPI)