On the basic balance laws of non-linear fracture mechanics—II. Non-local theory

✍ Scribed by Chunyuan Zhang

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 563 KB
• Volume: 54
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(95)00218-9

✦ Synopsis

In this paper, foundations of the non-local theory of the basic balance laws of non-linear fracture mechanics are established. The balance laws in the body, and on the initial surface, especially on the newly fractured surfaces are given. The latter are just the necessary conditions which must be fulfilled for a crack propagating body. These conditions include mass condition, momentum condition, moment of momentum condition, energy condition and entropy condition. The conclusion of this paper is as follows: the process of fracture is a process of destruction of body quantities and creation of surface quantities. A part of the body quantities will destroy in the body and a part of surface quantities will create on the newly fractured surfaces. This conclusion cannot be explained in the realm of local theory. This paper is the continuation and generalisation of the local theory of the previous papers [l---3]. This paper includes the theory of previous papers and the non-local continuum theory [4] as its special cases.