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A generalized kinetic model of three component mixture of cracks

Czechowski Z.

Acta Geophysica Polonica

1998

Vol. 46, nr 4

375-388

A kinetic model of nucleation propagation and fusion ofnumerous cracks is derived. The population of three categories of cracks (shear, tensile and shear-tensile) is taken into account. The exponential from of size crack distributions is deduced for constant fusion cross-sections. This is in agreement with the kinetic model for single category of cracks. A set of three simple differential equations for numbers of cracks in each category is obtained and analysed numerically.