Griffith cracks in the mesoscopic microcrack theory
P. Van, C. Papenfuss, W. Muschik
TL;DR
This paper applies the mesoscopic approach to model microcracked brittle materials, solving equations under Rice-Griffith law to analyze crack evolution and distribution under simple loading conditions.
Contribution
It introduces a mesoscopic framework for microcrack evolution in brittle materials using the Rice-Griffith law, with solutions for crack distribution and average crack length.
Findings
Crack distribution functions evolve predictably under simple loading.
Average crack length increases over time according to the model.
Different initial crack distributions affect evolution dynamics.
Abstract
The mesoscopic concept is applied to the description of microcracked brittle materials. The mesoscopic equations are solved in a special case when the microcracks are developing according to the Rice-Griffith evolution law. The evolution of the crack distribution function is investigated in case of simple loading conditions and for two different initial crack distribution functions. The time dependence of the average crack length is calculated, too.
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