A dual variational principle for nonlinear dislocation dynamics

2022/10/27 by Amit Acharya, Acharya, Amit · 2 citations
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2211.00079

openalex publication_date 2022/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A dual variational principle is defined for the nonlinear system of PDE describing the dynamics of dislocations in elastic solids. The dual variational principle accounting for a specified set of initial and boundary conditions for a general class of PDE is also developed.

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