弹性体表面覆盖层对冲击应力波的响应

本文研究了弹性体表面覆盖层对弹性体内部由于瞬态加载或者材料突然断裂等冲击因素所引起的应力波的动力响应问题。提出了一种对该类问题进行初步分析的简化模型,在此基础上建立了应力波场的分析方法,并借助于积分变换技术求得了问题的解析解。最后通过算例分析讨论了问题的两种特征参数对覆盖层位移响应及界面应力响应的影响规律。结果表明,本文所提出的模型及应大波场的分析方法对于初步研究覆盖层对冲击应力波响应问题的动态特征是有效的。

Dynamic Responses of a Surface Layer of an Elastic Body to Shock Stress Waves

In this study the problem of dynamic responses of a surface layer of an elastic body to the stress waves, produced by various shock loadings, such as a suddenly breaking down of the elastics mediums, is considered. A simple analytical model for this kind of problem is presented. Based on this, the analytical solutions of the problem are obtained by means of the integral transform technique.In order to discuss evidently the effects of the two kinds of characteristic parameters on the displacement responses of the surface layer and on the interfacial stress responses, some numerical results are obtained. It is shown that the analytical model and the method of the analysis of the stress wave fields presented herewith are effective for the preliminary study of the dynamic response of a surface layer of an elastic body to shock stress waves.