Abstract
In this paper, we consider the blow-up result of solution for a quasilinear von Karman equation of memory type with nonpositive initial energy as well as positive initial energy. For nonincreasing function $g>0$
g
>
0
and nondecreasing function f, we prove a finite time blow-up result under suitable condition on the initial data.
AbstractIn this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Furthermore, we estimate not only the upper bound but also the lower bound of the blow-up time.
The paper is devoted to some featured lay-up solutions for optimized composite VAT plates under such conditions as buckling, postbuckling (within the von Karman limits) or large-deflection postbuckling (beyond the von Karman limits). The corresponding optimality conditions are theoretically analyzed. The possible locally orthotropic solutions are identified and discussed.
A Lagrangian for von Karman equations of large deflection problem of thin circular plate