无限介质中单个纳米涂层夹杂反平面问题的两个模型

采用零厚度界面模型和界面层模型研究了无限介质中单个纳米涂层圆柱形夹杂的反平面问题,利用复变函数方法获得了两种模型夹杂、涂层和基体内应力场的封闭解析解.研究表明,当界面层模型中的界面相厚度趋于零时,界面层模型可以解析地退化为零厚度界面模型.数值算例分析了界面模量不同取值时应力场的分布和应力的尺度依赖性.本文结果丰富了对纳...

Two Models on the Antiplane Problem of a Nano Coated Inclusion in an Infinite Medium

A nano coated cylindrical inclusion in an infinite medium is investigated under antiplane shear loadings based on the zero-thickness interface model and the interphase model, the closed-form solutions of the stress fields in the inclusion, the coating and the matrix are derived by using the complex function method. When the thickness of the interphase layer in the interphase model tends to zero, the interphase model can be analytically degraded to the zero-thickness interface model. Numerical examples show the distribution of the stress field and the size dependence of the stress for different interface moduli. The results of this work enrich the understanding of the mechanical behavior of nano inclusion, and present references for the investigation of the nano inclusion problem, for which the zero-thickness interface model has difficultly to apply.