in terms of the microstructure characteristics of polycrystalline ferroelectric ceramics, a statistical micromechanics model is employed to predict the effective electroelastic properties of polycrystalline ferroelectric ceramics with randomly oriented defects, such as voids and mi-crocracks, by the method of Eshelby s equivalent inclusion theory and Mori-Tanaka s mean field concept.

A few coded FISH functions are used to prescribe the random imperfections and to remember the number of failed elements.

FISH functions were used to generate random imperfections and to remember the number of failed elements.

A few written FISH functions are used to set the random imperfections and to calculate the overall deformational characteristics.

The defect distribution of bonded wafers and its relationship to the Weibull modulus;

The features of gears in time and frequency domain caused by local and distributed faults are theoretically discussed in this paper.

Under the assumption that concrete was a four-phase composite material consisting of mortar,aggregate,interface and random micro-flaw at the mesolevel,a meso-mechanical model for four-phase composite materials was developed.

The advanced stochastic imperfection method is used to research the imperfection sensitive region of single-layer latticed domes.