Irregular and Regular Assemblies in 3D Topology Optimal Design

In the present Chapter, the elastic models of shape and topology optimization with the continuous distribution of microscopic inhomogeneities or voids in 3D-problems are considered. The topology uses the optimization method with the “topology density” approach, which applies the continuous design variables. The cloud of an infinite number of infinitesimally small voids or other inhomogeneities are used to model the medium with the variable elastic modules. The density of the inhomogeneities with the scalar or tensorial porosity functions.