The resonance behaviour and dynamic stabilities of strained superlattice

Abstract

The dynamic behaviour in the vicinity of the interface for the strained superlattice is discussed in the classical mechanics frame based on the Seeger equation. We found that the motion and the accumulation of the dislocations by the non-linear resonance may give rise to the lamination or the fracture of the superlattice. At first, byintroducing the damping term,the Seeger equation describing the dislocation motion is reduced to the generalized Duffing equation describing superlattice in the small amplitude aproximation. Secondly,the main resonance, the super-harmonic resonance and the sub-harmonic resonance of the system are analysed by the multiscale method. The critical condition for the system to enter into resonance is found. It shows that the critical condition is related to the parameters of the system,by adeguately regulating the parameters of the system,the resonance can be avoided in principle,then the stability and the perfection of the superlattice materials may be bellev ensured.