A computation of the frequency dependent dielectric function for energetic materials
A theory of excitation of a solid system by a shock is developed and is implemented using first order time-dependent perturbation theory. This allows one to study excitation by both the longitudinal fields generated in a shock and also the transverse radiation field from the accelerating atoms. This is argued to be the mechanism by which shock energy (initially translational) is converted into lattice vibrations, and finally as to how these vibrations are converted into molecular vibrations, electronic excitations or even collective excitations. Some specific examples are seen for the time harmonic transverse field portion of the problem.
Abstract This research is focused on the effects of nonlinear terms on the dynamical behavior of graphene reinforced laminated composite plates. Firstly, the governing equations of the graphene reinforced composite thin plate subjected to transverse excitations are derived by using the Hamilton's principle and the von Karman deformation theory. Then numerical method is applied to investigate the nonlinear behaviors of graphene reinforced composite plates. Bifurcation diagram, waveform and phase portrait are demonstrated to analyze the nonlinear dynamics of the graphene reinforced laminated composite plates. Furthermore, the effects of nonlinear terms on the dynamical behavior are discussed in detail, where both the stronger and weaker nonlinear characteristics of lower modes of the plate are presented. Moreover, some interesting phenomena are obtained in numerical simulation.