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A level set–based method for stress‐constrained multimaterial topology optimization of minimizing a global measure of stress
Author(s) -
Chu Sheng,
Xiao Mi,
Gao Liang,
Li Hao
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5979
Subject(s) - topology optimization , measure (data warehouse) , stress (linguistics) , topology (electrical circuits) , level set method , mathematical optimization , set (abstract data type) , interpolation (computer graphics) , parametric statistics , sensitivity (control systems) , computer science , mathematics , finite element method , structural engineering , engineering , artificial intelligence , motion (physics) , linguistics , philosophy , statistics , combinatorics , database , segmentation , image segmentation , programming language , electronic engineering
Summary In multimaterial topology optimization of minimizing a global measure of stress, the maximum stresses in different materials may not satisfy the strength design requirements simultaneously if stress constraints for different materials are not considered. In this paper, a level set–based method is presented to handle the stress‐constrained multimaterial topology optimization of minimizing a global stress measure. Specifically, a multimaterial level set model is adopted to describe the structural topology, and a stress interpolation scheme is introduced for stress evaluation. Then, a stress penalty‐based topology optimization model is presented. Meanwhile, an adaptive adjusting scheme of the stress penalty factor is employed to improve the control of the local stress level. To solve the stress‐constrained multimaterial topology optimization problem minimizing the global measure of stress, the parametric level set method is employed, and the sensitivity analysis is carried out. Numerical examples are provided to demonstrate the effectiveness of the presented method. Results indicate that multimaterial structures with optimized global stress can be gained, and stress constraints for different materials can be satisfied simultaneously.