This work presents a novel formulation of the Boundary Element Method (BEM) with the Radial Integration Method (RIM) to calculate the critical loads of the plate buckling problem with shear deformation. An alternative formulation is adopted where the effect of the geometric non-linearity is described by using the first derivative of the function for the out-of-plane displacements. The RIM is developed for this problem and used to convert the resulting domain integrals into equivalent boundary integrals. The results are compared with other results available in the literature and with the results obtained with the Dual Reciprocity Method (DRM). The advantages of using the RIM are discussed at the end of this work.

这项工作提出了边界元法（BEM）和径向积分法（RIM）的新公式，以计算具有剪切变形的板屈曲问题的临界载荷。采用替代公式，其中通过使用平面外位移的函数的一阶导数来描述几何非线性的影响。RIM是针对此问题而开发的，并用于将结果域积分转换为等效边界积分。将该结果与文献中可获得的其他结果以及通过双对等方法（DRM）获得的结果进行比较。在本文的最后讨论使用RIM的优势。