A gauge theoretic approach to elasticity with microrotations
arXiv:1012.5951 · doi:10.1098/rspa.2011.0718
Abstract
We formulate elasticity theory with microrotations using the framework of gauge theories, which has been developed and successfully applied in various areas of gravitation and cosmology. Following this approach, we demonstrate the existence of particle-like solutions. Mathematically this is due to the fact that our equations of motion are of Sine-Gordon type and thus have soliton type solutions. Similar to Skyrmions and Kinks in classical field theory, we can show explicitly that these solutions have a topological origin.
15 pages, 1 figure; revised and extended version, one extra page; revised and extended version
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Cited by in corpus (10)
- Teleparallel Gravity: From Theory to Cosmology
- New classes of modified teleparallel gravity models
- Extended Einstein-Cartan theory a la Diakonov: the field equations
- Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity
- Disclinations in the geometric theory of defects
- Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations
- Compatibility conditions of continua using Riemann-Cartan geometry
- Rotational elasticity and couplings to linear elasticity
- Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality
- Micropolar continua as projective space of Skyrmions