Variational arguments and Noether's theorem on the nonlinear continuum theory of dislocations

DOI10.1016/J.IJENGSCI.2006.02.007zbMath1213.74028OpenAlexW2074168008MaRDI QIDQ538749

Vassilios K. Kalpakides, Dimitris Sfyris, Nicolas Ch. Charalambakis

Publication date: 25 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2006.02.007

zbMATH Keywords

inhomogeneitydislocationsmaterial forcesuniform reference

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

Related Items (4)

Propagation of a plane wave to a materially uniform but inhomogeneous body ⋮ Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem ⋮ On the nonlinear continuum theory of dislocations: a gauge field theoretical approach ⋮ Continuously dislocated elastic bodies with a neo-Hookean like energy subjected to anti-plane shear

Cites Work

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• On spatial and material settings of hyperelastostatic crystal defects
• The energy-momentum tensor and material uniformity in finite elasticity
• The elastic energy-momentum tensor
• On nonlinear elasticity theory for crystal defects
• On material equations in second-gradient electroelasticity
• Pseudo-plasticity and pseudo-inhomogeneity effects in materials mechanics
• Eshelby's stress tensors in finite elastoplasticity
• Application of material forces to hyperelastostatic fracture mechanics. I: Continuum mechanical setting
• On the geometrical material structure of anelasticity
• Configuration forces as basic concepts of continuum physics
• Mechanics of material forces. Proceedings of the EUROMECH colloquium 445 on mechanics of material forces, Kaiserslautern, Germany, May 21--24, 2003.
• Materially uniform simple bodies with inhomogeneities
• A Hamiltonian formulation for elasticity and thermoelasticity
• The force on an elastic singularity

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