THE SINGULAR NATURE OF THE STRESS-FIELD NEAR AN ARBITRARILY MOVING DISLOCATION LOOP

It is proved that, for the most singular 1/ε{lunate} terms in the stress field at a point near the current position of a moving loop, the loop may be approximated by its tangent translating with the same instantaneous velocity v and acceleration a as the loop has at that point, while, as far as the coefficients of the In ε{lunate} terms are concerned, the loop is approximated by its tangent at that point translating and rotating as the loop, and by its osculating circle expanding with the same instantaneous velocity as the loop. © 1990.