Sandfeld S, Zaiser M (2015)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 23
Journal Issue: 6
DOI: 10.1088/0965-0393/23/6/065005
The spontaneous emergence of heterogeneous dislocation patterns is a conspicuous feature of plastic deformation and strain hardening of crystalline solids. Despite long-standing efforts in the materials science and physics of defect communities, there is no general consensus regarding the physical mechanism which leads to the formation of dislocation patterns. In order to establish the fundamental mechanism, we formulate an extremely simplified, minimal model to investigate the formation of patterns based on the continuum theory of fluxes of curved dislocations. We demonstrate that strain hardening as embodied in a Taylor-type dislocation density dependence of the flow stress, in conjunction with the structure of the kinematic equations that govern dislocation motion under the action of external stresses, is already sufficient for the formation of dislocation patterns that are consistent with the principle of similitude.
APA:
Sandfeld, S., & Zaiser, M. (2015). Pattern formation in a minimal model of continuum dislocation plasticity. Modelling and Simulation in Materials Science and Engineering, 23(6). https://dx.doi.org/10.1088/0965-0393/23/6/065005
MLA:
Sandfeld, Stefan, and Michael Zaiser. "Pattern formation in a minimal model of continuum dislocation plasticity." Modelling and Simulation in Materials Science and Engineering 23.6 (2015).
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