Topology Optimization of Three-Dimensional Structures under Contact Conditions

摘要

This work presents a model for topology optimization of three-dimensional deformable bodies in contact. The model uses a material distribution approach and the optimization criterion is the structural compliance under multiple loads, subjected to an isoperimetric constraint on volume and the equilibrium equation expressed for contact problems. The model is approximated numerically through a suitable finite element discretisation and solved by a first order optimisation method. Numerical examples in structural mechanics and biomechanics are presented.