Abstract
The improved version of the theoretical model of quasi-static crack growth is presented here. Small-scale Dugdale-type cohesive zone of a crack is principal assumption and main restriction of proposed model. The nonlinear first-order differential equation describes the quasi-static process of crack growth. In dimensionless form this equation is invariant in respect to geometrical configuration and loading shape. In developed model the critical size of the cohesive zone is the characteristic of material crack-resistance which can be used as an is equivalent of the fracture toughness of material. The crack-resistance function (R-curve) analytical expression is direct derivative of the solution of invariant equation of quasi-static crack growth. Two classical examples of body with a crack show that R-curve depends from geometrical configuration and a shape of loading. The model application for analysis of the spasmodic crack growth is demonstrated using test results of the double cantilever beam (DCB) that is the standard specimen for measurement of the mode-I interlaminar fracture toughness. The reconstruction of the history of a delamination growth is done using the model of quasi-static crack growth
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