Stress‐constrained topology optimization of structures subjected to nonproportional loading

Granlund, Gunnar; Wallin, Mathias; Tortorelli, Daniel; Watts, Seth

doi:10.1002/nme.7230

Stress‐constrained topology optimization of structures subjected to nonproportional loading

Journal Article · Thu Mar 02 00:00:00 EST 2023 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.7230· OSTI ID:1959376

^[1]; Wallin, Mathias ^[1]; Tortorelli, Daniel ^[2]; Watts, Seth ^[3]

Division of Solid Mechanics Lund University Lund Sweden
Center for Design and Optimization Lawrence Livermore National Laboratory Livermore California USA, Department of Mechanical Science and Engineering University of Illinois at Urbana–Champaign Urbana Illinois USA
Center for Design and Optimization Lawrence Livermore National Laboratory Livermore California USA

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.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: Swedish Energy Agency; Swedish Research Council; USDOE; USDOE National Nuclear Security Administration (NNSA); eSSENCE: The e-Science Collaboration

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1959376

Alternate ID(s):: OSTI ID: 1974138
OSTI ID: 1984116

Report Number(s):: LLNL-JRNL-839260

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 12 Vol. 124; ISSN 0029-5981

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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Stress‐constrained topology optimization of structures subjected to nonproportional loading

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