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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-5pp.1194-1213

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Total articles in the database: 10864
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J.P. Pascon and V.M. Daniel, "A Finite Element Formulation for Highly Deformable Elastoplastic Beams Accounting for Ductile Damage and Plane Stress State," Mech. Solids. 57 (5), 1194-1213 (2022)
Year 2022 Volume 57 Number 5 Pages 1194-1213
DOI 10.3103/S0025654422050119
Title A Finite Element Formulation for Highly Deformable Elastoplastic Beams Accounting for Ductile Damage and Plane Stress State
Author(s) J.P. Pascon (Lorena School of Engineering, University of São Paulo, Lorena, São Paulo, Brazil, jppascon@usp.br)
V.M. Daniel (Lorena School of Engineering, University of São Paulo, Lorena, São Paulo, Brazil, suici.twist@usp.br)
Abstract In this work, a finite element formulation is proposed to the analysis of flexible beams under plastic strains, ductile damage and plane-stress conditions. The novel feature of the study is the combination involving an any-order beam element transversely enriched and a Gursons porous plasticity theory together with nonlinear isotropic hardening, as well as void growth, nucleation and coalescence. The result is a high-order cross-sectional kinematics and a constitutive elastoplastic model with a competition between strain hardening and porosity-induced softening. The elastic prediction and plastic correction phases are employed together with the Newton-Raphson iterative scheme and the backward Euler time integration of the evolution equations.

To validate the proposed formulation, a cantilever beam and a column under buckling are numerically analyzed. The influence of the mesh refinement, the set of elastoplastic parameters and the material model on the mechanical behavior is investigated in detail. High-order elements are preferable in terms of accuracy of results, despite their high computational effort regarding processing time and memory usage. Results show that the present model can reproduce finite deformations and throughthe-thickness variation of 2D strains and stresses, as well as evolution of ductile damage. The importance of accounting for all the model features is also highlighted.
Keywords beam finite element, ductile damage, GTN plasticity model, plane stress state, large deformation analysis
Received 17 April 2022Revised 28 May 2022Accepted 29 May 2022
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