A dual variational principle for nonlinear dislocation dynamics

DOI10.1007/s10659-023-09998-5zbMath1526.35158arXiv2211.00079MaRDI QIDQ6064101

Amit Acharya

Publication date: 8 November 2023

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.00079

zbMATH Keywords

dual variational principlenonlinear system of PDEs, dislocations in elastic solids

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Elastic materials (74B99)

Cites Work

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• Constitutive analysis of finite deformation field dislocation mechanics
• Variational principles of continuum mechanics. II: Applications
• On dispersive difference schemes
• Finite element approximation of finite deformation dislocation mechanics
• Second-order effects of dislocations in anisotropic crystals
• A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations
• Solution of Sparse Underdetermined Systems of Linear Equations
• The zero dispersion limit for the Korteweg-deVries KdV equation
• Variational principles for nonlinear PDE systems via duality

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