Long-Range Decay and Integiability

Long-Range Decay and Integiability
Consider now an infinite two-dimensional elastic solid in which the stress, strain, and cracking are macroscopic-ally uniform. All the microcracks are of the same size a, and the area per crack is s2. The stress a applied on each microcrack is the same. From (13.3.41) we calculate the contribution to the nonlocal integral from domain V outside a circle of radius R that is sufficiently large for permitting the approximation k(r) ~ a2/r2;