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In the present paper we have put together some results of a cluster method that allows the calculationof linear and also non-linear effective elastic constants of polycrystalline materials within an iterativeself-consistent scheme. The conceptual idea consists in simulating the real material by a suitably chosencluster of single grains. One can then determine the elastic properties of the material under study byexamining the elastic behavior of the cluster. The method is capable of resolving the effect of the grainshape, that is determined by the coordination number of the grains on the effective constants.

Calculation of Linear and Non-Linear Elastic Properties of Polycrystalline Materials by Use of a Cluster Model