Bolted joints are often used for the connection of safety–critical parts in the aeronautical industry. However, drilling holes also means introducing stress concentrations and precise assessment tools are essential to design both safe and lightweight optimal structures. These tools can be based on analytical means providing efficient computation. That is why the present work is dedicated to determine the stress field of finite dimensions bolted joints with isotropic plate material by means of the Airy stress function. The boundary value problem is solved by taking the stress field of the corresponding infinite domain problem and supplementing it with auxiliary functions enabling the continuous modelling of traction-free edges. The results are eventually validated against Finite Element analyses revealing good agreement.

螺栓连接通常用于航空工业中安全关键部件的连接。但是，钻孔还意味着引入应力集中，并且精确的评估工具对于设计安全且轻巧的最佳结构至关重要。这些工具可以基于提供有效计算的分析手段。因此，本研究致力于通过艾里应力函数确定各向同性板材的有限尺寸螺栓连接的应力场。通过获取相应无限域问题的应力场并对其进行补充，以实现无牵引力边缘的连续建模，可以解决边界值问题。最终针对有限元素分析对结果进行了验证，显示出良好的一致性。