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Stress‐constrained topology optimization of structures subjected to nonproportional loading

Granlund, Gunnar LU orcid ; Wallin, Mathias LU ; Tortorelli, Daniel and Watts, Seth (2023) In International Journal for Numerical Methods in Engineering 124(12). p.2818-2836
Abstract
This work considers the topology optimization of hyperelastic structures for maximum stiffness (minimum compliance) subject to constraints on their volume and maximum stress. In contrast to almost all previous works, we subject the structures to nonproportional loading, wherein the maximum stress does not necessarily occur at the final load step. As such, the stress is constrained at each load step. The augmented Lagrangian method is used to formulate the optimization problem with its many constraints. In numerical examples, we investigate different load trajectories for the same terminal load and compare the optimized designs and their performances. The results show the importance of considering the entire load trajectory as the load... (More)
This work considers the topology optimization of hyperelastic structures for maximum stiffness (minimum compliance) subject to constraints on their volume and maximum stress. In contrast to almost all previous works, we subject the structures to nonproportional loading, wherein the maximum stress does not necessarily occur at the final load step. As such, the stress is constrained at each load step. The augmented Lagrangian method is used to formulate the optimization problem with its many constraints. In numerical examples, we investigate different load trajectories for the same terminal load and compare the optimized designs and their performances. The results show the importance of considering the entire load trajectory as the load history significantly influences the optimized designs. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal for Numerical Methods in Engineering
volume
124
issue
12
pages
2818 - 2836
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:85149379096
ISSN
1097-0207
DOI
10.1002/nme.7230
language
English
LU publication?
yes
id
4639fce9-fa08-4af7-aef1-86a85f8908af
date added to LUP
2023-03-09 11:00:07
date last changed
2023-10-26 14:49:46
@article{4639fce9-fa08-4af7-aef1-86a85f8908af,
  abstract     = {{This work considers the topology optimization of hyperelastic structures for maximum stiffness (minimum compliance) subject to constraints on their volume and maximum stress. In contrast to almost all previous works, we subject the structures to nonproportional loading, wherein the maximum stress does not necessarily occur at the final load step. As such, the stress is constrained at each load step. The augmented Lagrangian method is used to formulate the optimization problem with its many constraints. In numerical examples, we investigate different load trajectories for the same terminal load and compare the optimized designs and their performances. The results show the importance of considering the entire load trajectory as the load history significantly influences the optimized designs.}},
  author       = {{Granlund, Gunnar and Wallin, Mathias and Tortorelli, Daniel and Watts, Seth}},
  issn         = {{1097-0207}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{12}},
  pages        = {{2818--2836}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal for Numerical Methods in Engineering}},
  title        = {{Stress‐constrained topology optimization of structures subjected to nonproportional loading}},
  url          = {{http://dx.doi.org/10.1002/nme.7230}},
  doi          = {{10.1002/nme.7230}},
  volume       = {{124}},
  year         = {{2023}},
}