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\(\Gamma\)-limit of a phase-field model of dislocations. (English) Zbl 1094.82008

The paper is devoted to the study of the large body limit of a phase-field model for dislocations, introduced in [M. Koslowski, A. Cuitino and M. Ortiz, “A phase-field theory of dislocation dynamics strain hardening and hysteresis in ductile single crystal”, J. Mech. Phys. Solids 50, No. 12, 2597–2635 (2002; Zbl 1094.74563)].

MSC:

82B26 Phase transitions (general) in equilibrium statistical mechanics

Citations:

Zbl 1094.74563
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