Abstract The adhesive contact problem of a half-space indented by a rigid cylindrical punch in the theory of couple-stress elasticity is investigated. Both the size effect and adhesion are considered to analyze the two-dimensional frictionless contact problem. The method of Mindlin’s stress function and the technology of Fourier transform are applied to reduce the mixed boundary value problem to the singular integral equations. Efficient computational techniques is used to obtain the influence of the size effect and adhesion parameter on the adhesive contact behavior. Results indicated that the size effect play an important role in contact with adhesion and can help understanding the mechanism of adhesion.

中文翻译：

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耦合应力弹性理论中的二维黏着接触问题

摘要 研究了基于耦合应力弹性理论的刚性圆柱冲头压入半空间的粘着接触问题。考虑尺寸效应和附着力来分析二维无摩擦接触问题。应用Mindlin应力函数法和傅里叶变换技术将混合边值问题化简为奇异积分方程。使用高效的计算技术来获得尺寸效应和粘附参数对粘合剂接触行为的影响。结果表明，尺寸效应在与粘附的接触中起重要作用，有助于理解粘附机制。