A discussion on the mixed mode J-Integral fracture criterion

✍ Scribed by Bing-Yi Yu

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 67 KB
• Volume: 16
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(82)90110-2

✦ Synopsis

In this paper, the material is assumed to be linearly viscoelastic with respect to the changes in stress and strain which occur during crack propagation. By using Sobotka's 2-D rheological model, the constitutive equations for non-symmetrical shear deformation with rheological effect due to non-homogeneity of materials are derived.

A variational method of the solution for the elasto-viscoplastic boundary value problem of the failure zone at the crack tip of viscoelastic cracked body is developed. The viscoplastic behaviour of the failure zone is determined by the local viscoplastic potential which establishes a relation between the rate of generalized plastic strain and the generalized stress. The geometrical construction of the generalized stress field in the space of admissible stress histories is presented, which implies the minimum principle of the generalized stress history. The boundary value problem of failure zone is here formulated in terms of the generalized stress and strain histories. and the necessary and sufficient conditions for the existence of solution are given.