The role of the symmetry group in the non-uniqueness of a uniform reference. Case study: An isotropic solid body

DOI10.1177/1081286512448184OpenAlexW2093559614MaRDI QIDQ5137418

Dimitris Sfyris

Publication date: 2 December 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286512448184

zbMATH Keywords

dislocationsexterior formsexterior differential equationsCartan's equations of structure

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (3)

A proposal for defining continuous distribution of dislocations for objective structures ⋮ On configurational weak phase transitions in graphene ⋮ A finite element formulation for stressed bodies with continuous distribution of edge dislocations

Cites Work

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• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem
• The Geometrical Language of Continuum Mechanics

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