Skip to Main content Skip to Navigation
Journal articles

Distributional and regularized radiation fields of non-uniformly moving straight dislocations, and elastodynamic Tamm problem

Abstract : This work introduces original explicit solutions for the elastic fields radiated by non-uniformly moving, straight, screw or edge dislocations in an isotropic medium, in the form of time-integral representations in which acceleration-dependent contributions are explicitly separated out. These solutions are obtained by applying an isotropic regularization procedure to distributional expressions of the elastodynamic fields built on the Green tensor of the Navier equation. The obtained regularized field expressions are singularity-free, and depend on the dislocation density rather than on the plastic eigenstrain. They cover non-uniform motion at arbitrary speeds, including faster-than-wave ones. A numerical method of computation is discussed, that rests on discretizing motion along an arbitrary path in the plane transverse to the dislocation, into a succession of time intervals of constant velocity vector over which time-integrated contributions can be obtained in closed form. As a simple illustration, it is applied to the elastodynamic equivalent of the Tamm problem, where fields induced by a dislocation accelerated from rest beyond the longitudinal wave speed, and thereafter put to rest again, are computed. As expected, the proposed expressions produce Mach cones, the dynamic build-up and decay of which is illustrated by means of full-field calculations.
Complete list of metadatas

https://hal-cea.archives-ouvertes.fr/cea-01357838
Contributor : Yves-Patrick Pellegrini <>
Submitted on : Tuesday, August 30, 2016 - 3:08:51 PM
Last modification on : Monday, October 15, 2018 - 3:54:03 PM

File

LazarPellegrini-JMPS-aspub.pdf
Files produced by the author(s)

Identifiers

Collections

CEA | DAM

Citation

Markus Lazar, Yves-Patrick Pellegrini. Distributional and regularized radiation fields of non-uniformly moving straight dislocations, and elastodynamic Tamm problem. Journal of the Mechanics and Physics of Solids, Elsevier, 2016, ⟨10.1016/j.jmps.2016.07.011⟩. ⟨cea-01357838⟩

Share

Metrics

Record views

153

Files downloads

323