Rotational elasticity and couplings to linear elasticity
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Publication:5744877
DOI10.1177/1081286513511093zbMath1330.74010arXiv1008.4005OpenAlexW3100906811MaRDI QIDQ5744877
Nicola Tamanini, Christian G. Böhmer
Publication date: 10 February 2016
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4005
Bulk waves in solid mechanics (74J10) Polar materials (74A35) Linear waves in solid mechanics (74J05)
Related Items (4)
Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity ⋮ Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations ⋮ Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements ⋮ Compatibility conditions of continua using Riemann–Cartan geometry
Cites Work
- Cartan's spiral staircase in physics and, in particular, in the gauge theory of dislocations
- A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations
- Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Elastic materials with couple-stresses
- Contributo per una formulazione di tipo integrale della meccanica dei continui di Cosserat
- Microstructures as a refinement of Cauchy theory. Problems of physical concreteness
- Theory of defects in solids and three-dimensional gravity
- Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Theories of elasticity with couple-stress
- Multipolar continuum mechanics
- Nonlinear theory of simple micro-elastic solids. I
- Micro-structure in linear elasticity
- Elasticita asimmetrica
- A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
- Wedge dislocation in the geometric theory of defects
- On the Fundamentals of the Three-dimensional Translation Gauge Theory of Dislocations
- MODELLING THE ELECTRON WITH COSSERAT ELASTICITY
- Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
- Rotational Elasticity
- A non-linear field theory
- The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
- Existence of minimizers for a finite-strain micromorphic elastic solid
- Representation formulae of general solutions in the theory of hemitropic elasticity
- Transmission problems in the theory of elastic hemitropic materials
- A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
- NOTES ON STRAIN GRADIENT PLASTICITY: FINITE STRAIN COVARIANT MODELLING AND GLOBAL EXISTENCE IN THE INFINITESIMAL RATE-INDEPENDENT CASE
- Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness
- Microcontinuum Field Theories
- A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
- A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS
- A gauge-theoretical approach to elasticity with microrotations
- Curl bounds Grad on SO(3)
- Analysis der Motorfelder im Cosserat‐Kontinuum
- TWIST WAVES IN LIQUID CRYSTALS
- Das Cosserat Kontinuum
- The stationary Weyl equation and Cosserat elasticity
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