Plastic work constrained elastoplastic topology optimization
(2021) In International Journal for Numerical Methods in Engineering 122(16). p.4354-4377- Abstract
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... (More)
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.
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- author
- Ivarsson, Niklas LU ; Wallin, Mathias LU ; Amir, Oded and Tortorelli, Daniel A.
- organization
- publishing date
- 2021-04-26
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- discrete adjoint sensitivity analysis, plastic work, stiffness maximization, topology optimization
- in
- International Journal for Numerical Methods in Engineering
- volume
- 122
- issue
- 16
- pages
- 4354 - 4377
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85105449544
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.6706
- language
- English
- LU publication?
- yes
- additional info
- Funding Information: This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE‐AC52‐07NA33344. The computations were enabled by resources provided by the Swedish National Infrastructure for Computing (SNIC) at Lund University partially funded by the Swedish Research Council through grant agreement no. 2018‐05973. MW and NI are grateful for the financial support provided by the Swedish energy agency, grant number 48344‐1, and the Swedish strategic research programme eSSENCE. OA is grateful for the financial support from the Israeli Science Foundation, grant number 750/15. The authors would finally like to thank Prof. Krister Svanberg for providing the MMA code.
- id
- 8ff4b148-049b-4657-9642-a99a03e0eac8
- date added to LUP
- 2021-06-08 10:43:43
- date last changed
- 2022-04-27 02:19:58
@article{8ff4b148-049b-4657-9642-a99a03e0eac8,
abstract = {{<p>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.</p>}},
author = {{Ivarsson, Niklas and Wallin, Mathias and Amir, Oded and Tortorelli, Daniel A.}},
issn = {{0029-5981}},
keywords = {{discrete adjoint sensitivity analysis; plastic work; stiffness maximization; topology optimization}},
language = {{eng}},
month = {{04}},
number = {{16}},
pages = {{4354--4377}},
publisher = {{John Wiley & Sons Inc.}},
series = {{International Journal for Numerical Methods in Engineering}},
title = {{Plastic work constrained elastoplastic topology optimization}},
url = {{http://dx.doi.org/10.1002/nme.6706}},
doi = {{10.1002/nme.6706}},
volume = {{122}},
year = {{2021}},
}