Smooth Hysteretic Formulation for Damage Modeling
Publication: Journal of Engineering Mechanics
Volume 147, Issue 9
Abstract
A smooth hysteretic formulation for modeling of damage is presented, emanating from damage mechanics and classical theory of plasticity. This generalized smooth, rate-independent three-dimensional (3D) Bouc–Wen type model is intended for nonlinear static and dynamic analysis of structures and is expressed in tensorial form. The hysteretic model embodies the modified von Mises yield criterion that takes into account damage evolution and nonlinear hardening laws. Based on these considerations, elastic finite elements are extended considering the plastic strains as additional hysteretic degrees of freedom together with the variables for damage and isotropic hardening as well as the back-stresses. These variables are considered at the integration points of the finite elements, and their evolution is described by the Bouc–Wen-type equations. The developed hysteretic finite element allows for geometric nonlinear analysis, assuming small strains. Numerical examples are presented, attesting to the generality of the proposed approach as well as the efficacy and accuracy.
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Data Availability Statement
All data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 9 • September 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Nov 10, 2020
Accepted: Apr 26, 2021
Published online: Jul 15, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 15, 2021
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