In the present contribution anisotropic structure of two-dimensional linear Cosserat elasticity is investigated. The symmetry classes this model are derived and detailed in a synthetic way. Particular attention paid to specific features Elasticity which sensitivity non-centrosymmetry as well chirality. These aspects important for application continuum theory mechanical modelling lattices metama...

Article history: Received 11 May 2014 Received in revised form 21 October 2014 Available online 24 December 2014

The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in mesoscopic systems and the Q for vibrations in mesoscopic oscillators. Complete results are derived in a simple scalar model of the elastic waves, and results...

The absence of conventional long range order in the classical two dimensional xy model is introduced. Two main types of excitations of this model, spin wave and vortices, are analyzed in the framework of generalized theory of elasticity. The Hamiltonian is then mapping onto the two dimensional Coulomb gas model and then critical temperature of the Kosterlitz-Thouless transition is located by a ...