In this research, a combination of the numerical manifold method (NMM) and boundary element method (BEM) is presented for solving plane elasticity problems to benefit from the advantages of both methods. For this goal, the domain of the problems is divided into two regions, each region is analyzed separately, and finally, equilibrium and compatibility conditions are controlled in the interface by the iteration method. 1D quadratic boundary elements and 2D quadratic, cubic and quartic ones in the form of triangular shapes are utilized in the boundary element and manifold methods, respectively. The proposed method is verified by calculating the displacements and stresses resulting from the application of static loads in five different numerical problems. Comparison of the numerical results shows that the suggested method is very efficient and accurate.

在本研究中，结合数值流形法 (NMM) 和边界元法 (BEM) 来解决平面弹性问题，以利用这两种方法的优点。为此，将问题域划分为两个区域，分别对每个区域进行分析，最后通过迭代法控制界面中的平衡和相容条件。边界元方法和流形方法分别使用一维二次边界元和三角形形式的二维二次、三次和四次边界元。通过计算在五个不同的数值问题中施加静载荷所产生的位移和应力，对所提出的方法进行了验证。