TY - JOUR
T1 - Limiting the first principal stress in topology optimization
T2 - a local and consistent approach
AU - Giraldo-Londoño, Oliver
AU - Russ, Jonathan B.
AU - Aguiló, Miguel A.
AU - Paulino, Glaucio H.
N1 - Funding Information:
This work was partially funded by the National Science Foundation (NSF) through grant #2105811. We also acknowledge Sandia National Laboratories, a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International, Inc., for the US Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525. OG thanks the endowment provided by the James W. and Joan M. O’Neill Faculty Scholar in Engineering at the University of Missouri. The interpretation of the results of this work is solely that by the authors, and it does not necessarily reflect the views of the sponsors or sponsoring agencies.
Funding Information:
This work was partially funded by the National Science Foundation (NSF) through grant #2105811. We also acknowledge Sandia National Laboratories, a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International, Inc., for the US Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525. OG thanks the endowment provided by the James W. and Joan M. O’Neill Faculty Scholar in Engineering at the University of Missouri. The interpretation of the results of this work is solely that by the authors, and it does not necessarily reflect the views of the sponsors or sponsoring agencies.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/9
Y1 - 2022/9
N2 - The present study introduces a formulation for topology optimization of structures with constraints on the first principal stress. We solve the problem considering local stress constraints via the augmented Lagrangian method, which enables the solution of large-scale problems without the need for ad hoc aggregation schemes and clustering methods. Numerical examples are provided which demonstrate the effectiveness of the framework for practical problems with numerous (e.g., in the range of million(s)) local constraints imposed on the maximum principal stress. One of the examples is a three-dimensional antenna support bracket, which represents a realistic engineering design problem. This example, which has more than one million constraints, is proposed as a benchmark problem for stress-constrained topology optimization.
AB - The present study introduces a formulation for topology optimization of structures with constraints on the first principal stress. We solve the problem considering local stress constraints via the augmented Lagrangian method, which enables the solution of large-scale problems without the need for ad hoc aggregation schemes and clustering methods. Numerical examples are provided which demonstrate the effectiveness of the framework for practical problems with numerous (e.g., in the range of million(s)) local constraints imposed on the maximum principal stress. One of the examples is a three-dimensional antenna support bracket, which represents a realistic engineering design problem. This example, which has more than one million constraints, is proposed as a benchmark problem for stress-constrained topology optimization.
KW - Augmented Lagrangian
KW - Local stress constraints
KW - Principal stresses
KW - Topology optimization
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U2 - 10.1007/s00158-022-03320-y
DO - 10.1007/s00158-022-03320-y
M3 - Article
AN - SCOPUS:85137060609
SN - 1615-147X
VL - 65
JO - Structural Optimization
JF - Structural Optimization
IS - 9
M1 - 254
ER -