Body-fitted mesh approach for structural topology optimization considering stress constraints

Resumo

Effective control of stress distribution in structural topology optimization is critical to avoid structural failure and ensure efficient material utilization. Based on that, a stress-based topology optimization framework is constructed to include stress constraints in the structural design through binary design variables. The solid structure is modeled using the Navier-Cauchy equation, considering linear elasticity. The governing equations are solved using the finite element method. The optimization problem is compliance minimization subjected to volume and stress constraints. The optimization is performed using the Topology Optimization of Binary Structures with Geometry Trimming (TOBS-GT) method, which employs Sequential Integer Linear Programming (SILP). The TOBS-GT method decouples the optimization and Finite Element Analysis (FEA) meshes. This decoupling offers several advantages, such as the flexibility to employ different sets of tools for geometry treatment, mesh building, FEA analysis, updating design variables, and post-processing results. Two classical benchmarking examples are explored: the L beam and the T pier. The proposed framework achieves the volume and stress constraints in both examples.