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A singular asymptotic expansion for the field near a moving dislocation loop. (English) Zbl 0693.73071
In this paper we formulate the solution to the generally moving loop (changing shape as well as position) in terms of a single integral around the loop curve, and present a method for reducing it to a form from which the singular asymptotic behavior is obtained by use of the asymptotic series of integrals. The coefficient of the 1/\(\epsilon\) and ln \(\epsilon\) series are given explicitly. As an example the near field of an accelerating straight screw dislocation is obtained and compared to a known solution.

MSC:
74B99 Elastic materials
74A60 Micromechanical theories
74M25 Micromechanics of solids
45M05 Asymptotics of solutions to integral equations
45L05 Theoretical approximation of solutions to integral equations
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