The goal of this paper is the analytical validation of a model of Cermelli and Gurtin [Arch. Ration. Mech. Anal., 148 (1999), pp. 3–52] for an evolution law for systems of screw dislocations under the assumption of antiplane shear. The motion of the dislocations is restricted to a discrete set of glide directions, which are properties of the material. The evolution law is given by a “maximal dissipation criterion,” leading to a system of differential inclusions. Short time existence, uniqueness, cross-slip, and fine cross-slip of solutions are proved.
Dynamics for Systems of Screw Dislocations / Blass, T.; Fonseca, I.; LEONI, GIOVANNI; Morandotti, M.. - In: SIAM JOURNAL ON APPLIED MATHEMATICS. - ISSN 0036-1399. - STAMPA. - 75:2(2015), pp. 393-419.
Titolo: | Dynamics for Systems of Screw Dislocations |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/140980065 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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a[006a]-2015-Bla-Fon-Leo-Mor[SIAP].pdf | Articolo principale | 2a Post-print versione editoriale / Version of Record | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
a[006b]-2015-Bla-Fon-Leo-Mor[SIAP]-supplementary-materials.pdf | Supplementary materials | 2a Post-print versione editoriale / Version of Record | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
dislocations-2015-01-02-revised.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2722526