We study the debonding of a thin layer initially glued to a rigid substrate and submitted at one ... more We study the debonding of a thin layer initially glued to a rigid substrate and submitted at one end to a constant tension and a cyclic deflexion. The theoretical framework of the modelling is the variational approach of fracture proposed first by Francfort and Marigo [1] and extended here in order to model the propagation of cracks by fatigue. We adopt a Dugdale surface energy, we introduce an irreversibility condition and we require, as in [1], that the body minimizes, at each loading step, its total energy. With these ingredients we obtain fatigue laws like those usually postulated by engineers. The number of cycles until the total debonding depends in particular on the ratio ε between the internal length appearing in Dugdale energy and the length of the layer. When ε goes to 0, we show that the limit fatigue law is a Paris law; the "rate of debonding growth per cycle" is a function of the energy release rate () f G = 1 2 .
We study the debonding of a thin layer initially glued to a rigid substrate and submitted at one ... more We study the debonding of a thin layer initially glued to a rigid substrate and submitted at one end to a constant tension and a cyclic deflexion. The theoretical framework of the modelling is the variational approach of fracture proposed first by Francfort and Marigo [1] and extended here in order to model the propagation of cracks by fatigue. We adopt a Dugdale surface energy, we introduce an irreversibility condition and we require, as in [1], that the body minimizes, at each loading step, its total energy. With these ingredients we obtain fatigue laws like those usually postulated by engineers. The number of cycles until the total debonding depends in particular on the ratio ε between the internal length appearing in Dugdale energy and the length of the layer. When ε goes to 0, we show that the limit fatigue law is a Paris law; the "rate of debonding growth per cycle" is a function of the energy release rate () f G = 1 2 .
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Papers by Antonio Avelar