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本文抛弃以往解板弯曲问题的假设，直接从三维弹性力学微分方程出发，依据三维弹性力学问题的Kelvin解，应用最小二乘法建立了三维虚边界元法解板弯曲问题的一般方法。文中给出了具有各种约束的矩形板的数值算例，以作为本方法的应用。本文方法与边界元直接法相比，优点在于无需处理奇异积分，且系数阵是对称的：再者，本文方法思想简单，且程序实现容易，易于被工程界接受。
In this paper, we abandon the assumption of bending problem in the past and proceed directly from the three-dimensional elasto-differential equations. Based on the Kelvin solution of the three-dimensional elastic mechanics problem, a general method for solving the bending problem of three-dimensional virtual boundary element method is established by using the least square method. In this paper, numerical examples of rectangular plates with various constraints are given as the application of this method. Compared with the direct method of boundary element method, this method has the advantage of not needing to deal with singular integrals, and the coefficient matrix is symmetric: Furthermore, the method in this paper has simple thinking, and the program is easy to implement and easy to be accepted by the engineering community.