Matching asymptotic method in propagation of cracks with Dugdale model

Abstract : The goal of this work is to apply the matching asymptotic method combined with a vari- ational approach to study the initiation and the propagation of a cohesive crack from the tip of a preexisting notch following the Dugdale cohesive force model when the characteristic length of the material (included in the Dugdale model) is small by comparison with the characteristic length of the body.
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Thi Bach Tuyet Dang, Jean-Jacques Marigo, Laurence Halpern. Matching asymptotic method in propagation of cracks with Dugdale model. 11th International Conference on Fracture and Damage Mechanics, Sep 2012, Shaanx, China. pp.489-492, ⟨10.4028/www.scientific.net/KEM.525-526.489⟩. ⟨hal-00780381⟩

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