Abstract
A new mathematical fictitious crack model is proposed to analyse the stable crack propagation in elastic-softening materials, and a possible load-displacement diagram is obtained for a simple tension specimen. By using the complex variable and the weight integral method, the effective crack is divided into two parts: the real crack and the fictitious crack. The proposed model is based on the theory of elasticity, to represent the character of the fracture process zone (or microcracked zone), in which the crack tip opening displacement (CTOD) is taken as a fracture (or crack propagation) criteria.
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