Shocks and slip systems: Predictions from a mesoscale theory of continuum dislocation dynamics |
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Authors: | S Limkumnerd JP Sethna |
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Institution: | a Zernike Institute for Advanced Materials, University of Groningen, 9747 AG, Groningen,The Netherlands b Laboratory of Atomic and Solid State Physics, Clark Hall, Cornell University, Ithaca, NY 14853-2501, USA |
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Abstract: | Exploring a recently developed mesoscale continuum theory of dislocation dynamics, we derive three predictions about plasticity and grain boundary formation in crystals. (1) There is a residual stress jump across grain boundaries and plasticity-induced cell walls as they form, which self-consistently acts to attract neighboring dislocations; residual stress in this theory appears as a remnant of the driving force behind wall formation under both polygonization and plastic deformation. We derive the predicted asymptotic late-time dynamics of the grain-boundary formation process. (2) During grain boundary formation at high temperatures, there is a predicted cusp in the elastic energy density. (3) In early stages of plasticity, when only one type of dislocation is active (single-slip), cell walls do not form in the theory; instead we predict the formation of a hitherto unrecognized jump singularity in the dislocation density. |
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