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Plastic work constrained elastoplastic topology optimization
Author(s) -
Ivarsson Niklas,
Wallin Mathias,
Amir Oded,
Tortorelli Daniel A.
Publication year - 2021
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6706
Subject(s) - finite element method , plasticity , topology optimization , isotropy , mathematics , topology (electrical circuits) , work (physics) , stiffness , mathematical optimization , mathematical analysis , structural engineering , engineering , materials science , physics , mechanical engineering , quantum mechanics , combinatorics , composite material
An elastoplastic topology optimization framework for limiting plastic work generation while maximizing stiffness is presented. The kinematics and constitutive model are based on finite strain linear isotropic hardening plasticity, and the balance laws are solved using a total Lagrangian finite element formulation. Aggregation of the specific plastic work combined with an adaptive normalization scheme efficiently constrains the maximum specific plastic work. The optimization problem is regularized using an augmented partial differential equation filter, and is solved by the method of moving asymptotes where path‐dependent sensitivities are derived using the adjoint method. The numerical examples show a clear dependence on the optimized maximum stiffness structures for different levels of constrained specific plastic work. It is also shown that due to the history dependency of the plasticity, the load path significantly influences the structural performance and optimized topology.