ON THE BASIC BALANCE LAWS OF NONLINEAR FRACTURE-MECHANICS .2. NONLOCAL THEORY

In this paper, foundations of the non-local theory of the basic balanc e laws of non-linear fracture mechanics are established. The balance l aws in the body, and on the initial surface, especially on the newly f ractured surfaces are given. The latter are just the necessary conditi ons which must be fulfilled for a crack propagating body. These condit ions include mass condition, momentum condition, moment of momentum co ndition, energy condition and entropy condition. The conclusion of thi s paper is as follows: the process of fracture is a process of destruc tion of body quantities and creation of surface quantities. A part of the body quantities will destroy in the body and a part of surface qua ntities will create on the newly fractured surfaces. This conclusion c annot be explained in the realm of local theory. This paper is the con tinuation acid generalisation of the local theory of the previous pape rs [1-3]. This paper includes the theory of previous papers and the no n-local continuum theory [4] as its special cases. Copyright (C) 1996 Elsevier Science Ltd.