作者提出了一个预测在夹杂附近次表面应力的理论模型。该模型包括允许体系中杨氏模量变化的弹性方程的数值解。起决定性作用的方程是用标准行列式反演方法求解变形的二次椭圆微分方程。将软材料基体中硬质夹杂的计算值与参照的实验数据进行了比较。在夹杂周围存在着巨大的应力升值,这由应力等值线来表示。在表面上涂覆厚的硬质涂层能够大幅度地降低这些应力的升值。 The authors propose a theoretical model for predicting subsurface stress near inclusions. The model includes a numerical solution of the elastic equation that allows the Young’s modulus to change in the system. The decisive equation is the solution to the deformed quadratic elliptic differential equation by the standard determinant inversion method. Calculations of hard inclusions in soft matrices were compared with the experimental data from the reference. There is a huge stress rise around the inclusions, which is represented by the stress contour. Applying a thick, hard coating to the surface drastically reduces these stresses.