This paper undertakes a study of behavior solutions corresponding to von Karman thermoelastic plates involving nonlinear source. It is well-known that the source term gives rise finite-time blow-up and drives system possible instability. So, it interest explore mechanism dissipation. In this paper, on one hand, for low initial energy, we apply modified potential well method differential inequal...

A modeling method for the modal analysis of cantilever plates undergoing accelerated in-plane motion is presented in this paper. Von Karman strain measures are employed to derive the in-plane and the lateral equations of motion. In-plane strain measures of the accelerated plates are obtained from the in-plane equations and substituted into the lateral equations to obtain the linear equations fo...

Long wavelength optical phonons of quartz were analyzed by a Born-Von Karman model not previously used. It was found that only one force constant associated with the turning of the Si-0 bonds has a critical effect on the softmode frequency and the a-p transition in quartz. The square of the soft-mode frequency was found to depend linearly on this force constant which has the temperature depende...