微结构固体中钟型与扭结孤立波的演化

THE EVOLUTION OF BELL AND KINK SOLITARY WAVES IN MICROSTRUCTURED SOLIDS

根据Mindlin理论和Murnaghan模型,首先建立了描述耗散、频散及非线性微结构固体中一维纵波传播的一种简单模型.然后利用有限差分方法,数值模拟了微结构效应对钟型与扭结孤立波演化的影响.结果表明,随着微结构效应的减弱,钟型孤立波的幅度衰减以及非对称特征变得越来越明显;随着微结构效应的增强,扭结孤立波顶部出现的"帽子"状变化以及由此产生的非对称特征变得越来越明显.

Firstly,the simple model which describes the one-dimensional longitudinal wave propagation in dissipation-dispersion nonlinear solid is derived based on the Mindlin theory and the Murnaghan model. Secondly,the microstructural effect on bell and kink solitary wave evolution is simulated,by using the finite difference method.The results show that with the weakening of microstructural effect,the amplitude attenuation and asymmetric characteristic of bell solitary wave become more and more obvious;with the enhancement of microstructural effect,the ＂hat＂shape change emerging at the top of kink solitary wave and the corresponding asymmetric characteristic become more and more obvious.