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Considering stress constraints in multi-material topology optimization is of great importance from both theoretical and application perspectives. In this article, the stress-constrained multi-material topology optimization problem is considered under the framework of an alternating active-phase algorithm. A nodal variable strategy is employed. In addition, a material distribution-based cluster method is employed instead of a global stress constraint to improve control of the local stress level. The von Mises stresses of the elements are aggregated into several clusters using a  p -norm function to represent the stress constraints. Numerical examples are presented, and the influences of key parameters are discussed. The effectiveness of the proposed approach is demonstrated through numerical results.

Stress-constrained multi-material topology optimization via an improved alternating active-phase algorithm