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Structural and Multidisciplinary Optimization

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06-11-2020 | Research Paper

Bi-directional evolutionary stress-based topology optimization of material nonlinear structures

Authors: Bin Xu, Yongsheng Han, Lei Zhao

Published in: Structural and Multidisciplinary Optimization | Issue 3/2021

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Abstract

Stress-based topology optimization and nonlinear structural topology optimization is gaining increasing attention in order to make topology optimization more realistic. Thus, this paper extends current concepts of topology optimization to the design of structures made of nonlinear materials. An extended bi-directional evolutionary structural optimization (BESO) method for stress minimization topology optimization of material nonlinear structures is proposed in this work. BESO method based on discrete variables can effectively avoid the well-known singularity problem in density-based methods with low-density elements. The maximum von Mises stress is approximated by the p-norm global stress. The sensitivity information for designing variable updates is derived in detail by adjoint method. As for the highly nonlinear stress behavior, the updated scheme takes advantages from two filters respectively of the sensitivity and topological variables to improve convergence. Moreover, the filtered sensitivity numbers are combined with their historical sensitivity information to further stabilize the optimization process. The effectiveness of the proposed method is demonstrated by several 2D benchmark design problems.

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Title: Bi-directional evolutionary stress-based topology optimization of material nonlinear structures
Authors: Bin Xu
Yongsheng Han
Lei Zhao
Publication date: 06-11-2020
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 3/2021
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-020-02757-3

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