In this article thermoelastic damping in nano-beam resonators is investigated based on nonlocal theory of elasticity and the Euler-Bernoulli beam assumptions. The governing equation of deflection of the beam is obtained from shear and moment resultants and stress–strain relationship of the nonlocal elasticity model and also the governing equations of thermoelastic damping are established by usi...

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which microscopically based derivations of elasticity are documented are (nearly) uniformly strained lattices. A microscopic approach to elasticity is proposed. As a first...

TIME-REVERSAL AND SYMMETRY IN THE THERMODYNAMICS OF MATERIALS WITH MEMORY by Morton E. Gurtin We here study, within the framework of the thermodynamics of materials with memory, the notion of invariance under timereversal. In particular, we establish conditions that are both necessary and sufficient for the infinitesmal entropy production to display such invariance.

The resolve of many important problems in practice that arise modern technology cannot always be obtained by traditional methods analytic function theory or means integral transformations. This applies, for example, to contact problems, which take into account the finite size region at least one direction, investigate environments with curvilinear anisotropy and like. mathematical elasticity ar...

Starting from a general classical model of many interacting particles we present well defined step by procedure to derive the continuum-mechanics equations nonlinear elasticity theory with fluctuations which describe macroscopic phenomena solid crystal. As relevant variables specify coarse-grained densities conserved quantities and properly displacement field describes local translations, rotat...