Interpretation of Mechanical Properties of Metals in terms of Microstructure

Abstract

This paper describes the mechanical behavior of the polycrystalline aggregate in terms of that of the single crystal using the Finite Element Method or the Finite Element and the Monte-Carlo Methods. In section 2 the mechanical behavior of coarse grained specimens of pure aluminum (99.99%) is simulated by the three-dimensional Finite element Method using the deterministic model. The agreement between the results of the calculation and the experiment about the location and direction of slip lines which appear initially at the surface of the specimen is good. In section 3 combining the finite Element and the Monte-Carlo Methods the mechanical characteristics of the polycrystalline aggregate consisting of a large number of grains with various orientations are obtained using the probabilistic model. Young's modulus and Poisson's ratio by the calculation coincide well with the experimental values.