Abstract

A computational procedure for simulation of non-uniform damage evolution in alumina specimens at tension has been elaborated on the basis of an advanced continuum damage model and a modification of a lattice scheme. The inhomogeneity of material properties is modelled in terms of an initial damage distribution in the specimen's cross section, which reflects both the radial porosity variation in sintered specimens and the randomness of the structural fluctuations in the circumferenial direction. An analogy to Weibull's hypothesis is introduced by relating initial damage distribution limits to the specimen diameter. This makes possible the description of the experimentally observed size effect in the tensile strength of alumina. MSC: 73B27; 73V20

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