Solution of Homogenization Equations for Topology Optimization

In this chapter motives for using the homogenization theory for topological structural optimization are briesy explained. Different material models are descrihed and the analytical Solution of the homogenization equations, derived in the last section of Chapter 2, for the so called ‘rank laminate composites’ is presented. The snite element formulation is explained for the material model based on a microstruciure consisting of an isotropic material with rectangular voids. Using the periodicity assumption, the boundary conditions are derived and the homogenization equation is solved. The results to be used in topology optimization are presented.