Thermoelasticity without energy dissipation for initially stressed bodies

On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags

In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to s...

The effect of magnetic field on 2-D problem of generalized thermoelasticity with energy dissipation

Energy Changes in Stressed Bodies Due to Void and Crack

It is demonstrated that the removal of material or the creation or extension of cracks always reduces the total potential energy of any non-linear or linear stable elastic body under fixed load and displacement boundary conditions. A weaker statement that crack extension releases potential energy in excess of plastic dissipation is established for stable elastic-plastic bodies, with certain str...

Assessing different nonlinear analysis methods for free vibrations of initially stressed composite laminated plates

In this paper, the nonlinear free vibrations of thin symmetric and non-symmetric cross-ply composite plates subjected to biaxial initial stresses are investigated. Because of their excellent properties such as specific strength and specific stiffness, composite plates have wide applications in aerospace and mechanical structures. Based on Von-Karman's strain-displacement relations and using Gal...

Dianeutral Upwelling Without Dissipation of Kinetic Energy

Estimates of the upwelling of bottom and deep water have recently been used to deduce the magnitude of area-averaged mixing activity and the required dissipation of kinetic energy that is input by winds and tides. Here we raise questions about this link between upwelling and the dissipation of energy. Several processes are discussed, each of which lead to the upwelling of water across neutral d...