An Augmented Lagrangian formulation allows to solve topology optimization problems with thousands of local stress constraints.
In the literature for stress constrained topology optimization, it is common for each specific publication to consider a specific failure criteria, which is associated to a specific material. To extend the range of applications to structures made of a variety of materials, we introduce a unified function that is able to predict failure of a wide range of materials.
We integrate this function within a topology optimization formulation to find lightweight structures that are strong enough to withstand the applied loading as well as self-weight without experiencing local material failure. The framework can be easily extended to other failure criteria.
A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler–Pister and Willam–Warnke.