Dynamics of screw dislocations: A generalised minimising-movements scheme approach

DOI10.1017/S0956792516000462zbMath1386.82069arXiv1509.01019OpenAlexW2962871717MaRDI QIDQ4594652

Patrick van Meurs, Giovanni A. Bonaschi, Marco Morandotti

Publication date: 24 November 2017

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01019

zbMATH Keywords

motion of dislocationsenergy dissipation inequalitygeneralised gradient flowsminimising-movement scheme

Mathematics Subject Classification ID

Variational inequalities (49J40) Statistical mechanics of crystals (82D25) Ordinary differential inclusions (34A60) Dynamics of a system of particles, including celestial mechanics (70F99)

Related Items (3)

Variational evolution of dislocations in single crystals ⋮ Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions ⋮ Convergence and non-convergence of many-particle evolutions with multiple signs

Cites Work

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• Piecewise-smooth dynamical systems. Theory and applications
• Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Based on the presentations at the summer school, Enschede, the Netherlands, 2012
• Dynamics for Systems of Screw Dislocations
• Renormalized Energy and Peach-K\"ohler Forces for Screw Dislocations with Antiplane Shear

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