Contact problems for elastic hollow cylinders made of an inhomogeneous material are considered. The cylinders are subjected to uniformly distributed internal or external pressure and interact with a stiff shroud or finite-length insert. Poisson’s ratio (Young’s modulus) of the elastic material varies along the radial coordinate. The problem equations are reduced to integral equations with respect to contact pressures. A singular asymptotic method, which is fairly effective for contact regions of sufficiently large length, is applied to solve the problem.

中文翻译：

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由非均质材料制成的空心圆柱体的接触问题

考虑了由非均质材料制成的弹性空心圆柱的接触问题。气缸承受均匀分布的内部或外部压力，并与刚性护罩或有限长度插入件相互作用。弹性材料的泊松比（杨氏模量）沿径向坐标变化。问题方程被简化为关于接触压力的积分方程。奇异渐近方法对足够大的接触区域非常有效，用于解决该问题。