Riemann–Cartan Geometry of Nonlinear Dislocation Mechanics

2012/03/08 by Arash Yavari, Alain Goriely · 15 citations
Engineering · Materials Science · #Elasticity and Material Modeling #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena

paper · doi:10.1007/s00205-012-0500-0

Citations

• Some geometrical relations in dislocated crystals
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• The thermodynamics of elastic materials with heat conduction and viscosity

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• Nonlinear elastic inclusions in isotropic solids. [europepmc]
• The geometry of discombinations and its applications to semi-inverse problems in anelasticity. [europepmc]
• Small-on-large geometric anelasticity. [europepmc]
• The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. [europepmc]
• Growth and remodelling of living tissues: perspectives, challenges and opportunities. [europepmc]
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• Geometrical frustration in nonlinear mechanics of screw dislocation. [europepmc]
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• Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations. [europepmc]