Journal article
Size-dependent energy in crystal plasticity and continuum dislocation models
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, Vol.471(n° 2175), pp.20140868-20140868
2015
Handle:
https://hdl.handle.net/2376/114770
PMCID: PMC4353050
PMID: 25792963
Abstract
In the light of recent progress in coarsening the discrete dislocation mechanics, we consider two questions relevant for the development of a mesoscale, size-dependent plasticity: (i) can the phenomenological expression for size-dependent energy, as quadratic form of Nye's dislocation density tensor, be justified from the point of view of dislocation mechanics and under what conditions? (ii) how can physical or phenomenological expressions for size-dependent energy be computed from dislocation mechanics in the general case of elastically anisotropic crystal? The analysis based on material and slip system symmetries implies the negative answer to the first question. However, the coarsening method developed in response to the second question, and based on the physical interpretation of the size-dependent energy as the coarsening error in dislocation interaction energy, introduces additional symmetries. The result is that the equivalence between the phenomenological and the physical expressions is possible, but only if the multiplicity of characteristic lengths associated with different slip systems, is sacrificed. Finally, we discuss the consequences of the assumption that a single length scale governs the plasticity of a crystal, and note that the plastic dissipation at interfaces has a strong dependence on the length scale embedded in the energy expression.
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Details
- Title
- Size-dependent energy in crystal plasticity and continuum dislocation models
- Creators
- Sinisa Dj MesarovicSamuel Forest - Centre des MatériauxJovo P Jaric
- Publication Details
- Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, Vol.471(n° 2175), pp.20140868-20140868
- Academic Unit
- Mechanical and Materials Engineering, School of
- Publisher
- Royal Society, The
- Identifiers
- 99900547427401842
- Language
- English
- Resource Type
- Journal article