Topology Optimization of Hyperelastic Material

摘要

A topology optimization using a continuum-based design sensitivity analysis (DSA) method is developed for structural components with hyperelastic material. The nonlinear structures with hyperelastic material are analyzed by using the total Lagrangian formulation and a Newton-Raphson iteration method. The sensitivities of the objective function and the constraint are calculated by using the adjoint method of the continuum-based DSA in developed program. And the topology optimizations of nonlinear structure with hyperelastic material are solved by using the SLP method. In the analysis and the optimization, Mooney-Rivlin's constants of the energy sensitivity function are selected as the design variables and the volume of the model is considered as the constraints through the topology optimization.