Abstract
A failure model is considered which can be applied to n-phase brittle materials (in particular to ceramics). The authors attempt to solve a physical problem of the description of failure of a micro-inhomogeneous solid as stochastic process of the cracking of separate structural elements. The particular model is executed for n=1 (case of single-phase ceramics) and is applied for the description of the mechanical behaviour of single-phase ceramic layers with various statistical distributions of the grains sizes. An effective continuum and a statistical description of the failure process is used. There are four stages in the process. The first stage is loading without microcracking and the second stage is a stable non-localized microcracking before maximum stress. The third stage is a stable localized microcracking after stress maximum and the fourth stage is an unstable (catastrophic) fracture. The trends of the theoretical calculations agree with data obtained from acoustic emission studies.
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