Topological optimization of continuum structure under the strategy of globalization of stress constraints

Since the stress is a local quantity, a large number ofconstraints must be considered in the topology optimization of continuumstructure. This increases the computational complexity of both theoptimization algorithm and sensitivity analysis. A strategy withglobalization of stress constraints is proposed based on von Mises'yield criterion. The localstress constraints of element are transformed into the global strain energy constraints ofstructure. Based on ICM (Independent, Continuous, Mapping)method, independent continuous topological variables are introduced; asuitable set of Filter functions of element with respect to weight,allowable stress and stiffness is selected. The optimal topology model ofcontinuum structure is established with weight as objective andsubjected to strain energy constraints with multiple load cases. The bestpath transmitted force in the multiple load cases is selected successfully.Furthermore, the dual quadratic programming is applied to solve theoptimal model of continuum. In addition, the present optimal model and itsalgorithm have been implemented by means of the MSC/Patran software platformusing PCL (Patran Command Language). Numerical examples indicate that themethod is efficient.