A Dual Variational Principle for Nonlinear Dislocation Dynamics

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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Bibliographic Details
Published in:Journal of elasticity 2023-11, Vol.154 (1-4), p.383-395
Main Author: Acharya, Amit
Format: Article
Language:English
Subjects:
Biomechanics
Boundary conditions
Classical and Continuum Physics
Classical Mechanics
Dynamical systems
Engineering
Materials Science
Mathematical Applications in the Physical Sciences
Nonlinear dynamics
Nonlinear systems
Principles
Theoretical and Applied Mechanics
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Description
Summary: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.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-023-09998-5