Abstract
The chapter provides a detailed analysis of the asymptotic scaling properties of the cohesive crack model, facilitated by a new smeared-tip approach. The cohesive crack model lumps into one line all the inelastic deformations in the fracture process zone of a finite length and width, including distributed micro-cracking and frictional or plastic slips. The basic hypothesis of the cohesive crack model is that there exists a unique relation between the cohesive (crack-bridging) stress σ and the opening displacement ν, representing a material property. The energetic aspect of the cohesive crack model was clarified by means of the J-integral. Traditionally, fracture with a cohesive or yielding zone is analyzed on the basis of Green's functions or compliance functions, or distributed dislocations. These approaches, however, appear ineffective for a general asymptotic analysis. Another approach named the smeared-tip method, developed by Planas and Elices is discussed in the chapter.
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