Stochastic modeling of mechanical behavior of materials with heterogeneous structure

The paper studies the application of Gaussian random fields in constructing stochastic models of porous ceramics, in particular heterogeneous materials. These models are used to simulate a nonuniform strain distribution in samples under the diametral compression. The analysis is given to the influence of the model parameters on resulting strain distribution patterns. The proposed simulation method of the sample structure results in the development of nonuniform strain fields varying in degrees and scales of heterogeneity, depending on the anisotropy parameter of the random field.