Displacement field analysis of the topology optimized structure

In this paper for the topology optimization process the minimum compliance approach is used with FEM as very useful method for numerical realization of the problem. During the optimization process homogenized domain changes into discrete structure which means the final structure consists of the many optimal placed bars. The analysis of the deformed structure and the deformed finite elements is done from the displacement field point of view. It can be noticed, some of the finite elements reduce their size, some of them increase their size. It depends on the element status (void-empty, stressed or not stressed). The question arises: is the topology optimization process cause of the negative Poisson ratio for some parts of the structure? (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)