Abstract
Characteristic features of damage accumulation under arbitrary stochastic conditions are studied in terms of continuum damage mechanics (CDM). A uniaxial tension case is chosen for a simplicity of discussion and clearness of results' interpretations. Modification for a kinetic equation of damage evolution for stochastic conditions is proposed. Numerical algorithms for three types of stochasticity—(a) additional noise (fluctuations in external load), (b) inner noise (as result of the non-uniform evolution of ensembles of micro-defects) and (c) combination of previous two factors—are obtained. Introduction of a local failure criterion via a threshold damage concentration allows the time-to-fracture distributions and their change with the noise intensity to be analyzed.
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