TY  - EJOU
AU  - Hou, Jianchang 
AU  - Jiang, Zhanpeng 
AU  - Wu, Fenghe 
AU  - Lian, Hui 
AU  - Wang, Zhaohua 
AU  - Liu, Zijian 
AU  - Li, Weicheng 

TI  - A Novel Multi-Objective Topology Optimization Method for Stiffness and Strength-Constrained Design Using the SIMP Approach
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2025
VL  - 144
IS  - 2
SN  - 1526-1506

AB  - In this paper, a topology optimization method for coordinated stiffness and strength design is proposed under mass constraints, utilizing the Solid Isotropic Material with Penalization approach. Element densities are regulated through sensitivity filtering to mitigate numerical instabilities associated with stress concentrations. A p-norm aggregation function is employed to globalize local stress constraints, and a normalization technique linearly weights strain energy and stress, transforming the multi-objective problem into a single-objective formulation. The sensitivity of the objective function with respect to design variables is rigorously derived. Three numerical examples are presented, comparing the optimized structures in terms of strain energy, mass, and stress across five different mathematical models with varying combinations of optimization objectives. The results validate the effectiveness and feasibility of the proposed method for achieving a balanced design between structural stiffness and strength. This approach offers a new perspective for future research on stiffness-strength coordinated structural optimization.
KW  - Topology optimization; stiffness-strength coordination; SIMP method; stress constraints; p-norm aggregation; sensitivity analysis

DO  - 10.32604/cmes.2025.068482