关键词: 连续体结构, 多相材料, 拓扑优化, 应力约束, 可分离应力插值模型

Abstract: The standard Solid Isotropic Material with Penalization (SIMP) model is impossible to accurately describe the problem for topology optimization of multiple materials continuum structure with stress constraints.A method for topology optimization of multiple materials continuum structure with stress constraints using the separable stress interpolation model was proposed.The element stiffness and element stress for multiple materials structure was calculated with the separable stress interpolation scheme.The minimum volume of the structure was developed as the objective function,and the modified P norm was applied to solve the maximum stress for each phase material structure.The maximum stress for each material was used as the constraint,and the model for topology optimization of multiple materials continuum structure with global stress constraints was established.The filtering techniques of design variables were used to avoid the phenomenon of numerical instability.The moving asymptotic optimization algorithm was applied to solve the optimization problem.Numerical results showed that the structures obtained by topology optimization of multiple materials continuum structure with global stress constraints were more reasonable and the stress concentration could be avoided effectively.

Key words: continuum structure, multiple materials, topology optimization, stress constraints, separable stress interpolation model