具有光滑界面的椭球夹杂的轴对称弹性场

本文在旋转椭球坐标系下,利用Papkovich—Neuber位移通解求解了具有光滑界面椭球夹杂由于均匀的特征应变引起的轴对称弹性场,与理想界面不同,在夹杂与基体界面不能经受剪应力而可自由滑动的情况下,解答只能是无穷级数形式,因此文中给出了数值算例。

THE AXISYMMETRICAL ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION WITH A SLIPPING INTERFACE

The paper analyzes the axisymmetrical elastic field caused by an ellipsoidal inclusion with a slipping interface which undergoes an uniform eigenstrain. The problem is solved under a revolving ellipsoidal coodinates with the aid of Papkovich-Neuber general displacement formula. In contrast to the perfectly bonded interface, when the interface between the inclusion and the matrix cannot sustain shear stress, and is free to slip, the solution cannot be expressed in closed form and involves infinite series. Therefore, the results are illustrated by numerical examples.