Field Dislocation Mechanics, Conservation of Burgers vector, and the augmented Peierls model of dislocation dynamics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913865688678400 |
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| author | Acharya, Amit |
| author_facet | Acharya, Amit |
| contents | Dissipative models for the quasi-static and dynamic response due to slip in an elastic body containing a single slip plane of vanishing thickness are developed. Discrete dislocations with continuously distributed cores can glide on this plane, and the models are developed as special cases of a fully three-dimensional theory of plasticity induced by dislocation motion. The reduced models are compared and contrasted with the augmented Peierls model of dislocation dynamics. A primary distinguishing feature of the reduced models is the a-priori accounting of space-time conservation of Burgers vector during dislocation evolution. A physical shortcoming of the developed models as well as the Peierls model with regard to a dependence on the choice of a distinguished, coherent reference configuration is discussed, and a testable model without such dependence is also proposed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_15003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Field Dislocation Mechanics, Conservation of Burgers vector, and the augmented Peierls model of dislocation dynamics Acharya, Amit Materials Science Classical Physics Dissipative models for the quasi-static and dynamic response due to slip in an elastic body containing a single slip plane of vanishing thickness are developed. Discrete dislocations with continuously distributed cores can glide on this plane, and the models are developed as special cases of a fully three-dimensional theory of plasticity induced by dislocation motion. The reduced models are compared and contrasted with the augmented Peierls model of dislocation dynamics. A primary distinguishing feature of the reduced models is the a-priori accounting of space-time conservation of Burgers vector during dislocation evolution. A physical shortcoming of the developed models as well as the Peierls model with regard to a dependence on the choice of a distinguished, coherent reference configuration is discussed, and a testable model without such dependence is also proposed. |
| title | Field Dislocation Mechanics, Conservation of Burgers vector, and the augmented Peierls model of dislocation dynamics |
| topic | Materials Science Classical Physics |
| url | https://arxiv.org/abs/2502.15003 |