Abstract In this article, we deal with a strongly damped von Karman equation variable exponent source and memory effects. We investigate blow-up results of solutions three levels initial energy such as non-positive energy, certain positive high energy. Furthermore, estimate not only the upper bound but also lower time.

In the presented paper, the governing equations of a vibratory beam with moderately large deflection are derived using the first order shear deformation theory. The beam is homogenous, isotropic and it is subjected to the dynamic transverse and axial loads. The kinematic of the problem is according to the Von-Karman strain-displacement relations and the Hook's law is used as the constitutive eq...

In this paper, semi-analytical method for asymmetrical eccentrically stiffened FGM cylindrical shells under external pressure and surrounded by a linear and non-linear elastic foundation is presented. The proposed linear model is based on two parameter elastic foundation Winkler and Pasternak. According to the von Karman nonlinear equations and the classical plate theory of shells, strain-displ...

We perform numerical expe riments wit h a novel cellularautomaton fluid mod el. T he mod el has simple pair -in t eraction rules and works in arb it rarily man y dimensions; here we consider the twodimension al case . By observing the smoothing-out of the velocity profile of a shear flow and t he relax ati on of a shea r wave, we measure t he kin em ati c shear viscosity and obtain a value of R...

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...