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Justification of Paris-type fatigue laws from cohesive forces model via a variational approach. (English) Zbl 1101.74012
Summary: By using a principle of least energy and a surface energy of Dugdale-Barenblatt type which is supplemented by an irreversibility condition, we build a debonding model of thin films valid for a monotone loadings as well as for cyclic loadings. When the internal length of Dugdale model is small in comparison to the characteristic length of the film, we show that the growth of the debonding follows Griffith’s law under a monotone loading and a Paris-type law under a cyclic loading.

MSC:
74A45 Theories of fracture and damage
74G65 Energy minimization in equilibrium problems in solid mechanics
74K35 Thin films
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