A Fracture Criterion of ‘‘Barenblatt’’ Type for an Intersonic Shear Crack  

Oleh:

Antipov, Y. A. ; Obrezanova, O. ; Willis, J.R.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 9 no. 3 (Jun. 2004), page 271–283.
Topik: intersonic crack propagation; cohesion model; fracture criterion
Fulltext: 271MMS93.pdf (150.56KB)

Isi artikel

Steady-state intersonic propagation of a shear crack is considered, with the admission of cohesion across the crack faces. The asymptotic limit of ‘‘small-scale cohesion’’, which occurs when the magnitude of the cohesive stress far exceeds that of the applied stress, is developed explicitly, to obtain a criterion of ‘‘Barenblatt’’ type. The application of this criterion requires only the calculation of the ‘‘applied’’ stress in-tensity coefficient with cohesion disregarded; an equation of motion follows by equating this coefficient to a ‘‘modulus of cohesion’’ which depends on the cohesive model that is employed. An explicit formula for the ‘‘modulus of cohesion’’ is given for the special case of a cohesive zone of Dugdale type.

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