Abstract
The Nonlinear-Defect-Model, proposed in the previous paper to explain analytically the macroscopic fracture of one-dimensional body, was developed further in order to establish relations with the structure of steel.
In this paper, the physical characteristics of local fracture at a macroscopic as well as microscopic nonlinear-defect (ND) in a one-dimensional body was first discussed as compared with the actual macroscopic fracture. Then, the residual strain in the body having various kinds of microscopic NDs was expressed analytically.
The above discussion suggests that three types of ND approximation (Single-, Many- and Equivalent-ND) can be used to express the local fracture and residual strain. In the Many-ND approximation, the following three regions of strain have to be discussed separately: (1) Initial region where small strain is led from all of the different kinds of ND, distributed homogeneously in the body, (2) Final region where fracture is led only from ND distributed in the fracture plane, and (3) Transient region where intermediate strain is caused by the transition from (1) to (2).
