在数值流形法的单元分析中广泛采用单纯形积分进行精确积分，然而在高阶数值流形法中采用单纯形积分并不容易，因为要求被积函数为显式多项式函数。采用Kronecker积、Hadamard积和拉直等矩阵特殊运算进行高阶流形单元分析，使得单元矩阵的推导过程简单且被积函数易表示为多项式形式。在此基础上，开发了三维弹性连续体静力分析的高阶数值流形法程序。通过实例验证了公式和程序的正确性。

The simplex integration is commonly used in the numerical manifold method (NMM) for accurate integration. But a difficulty is encountered in adopting the simplex integration in high -  order NMM sInce all integrands have to be explicitly expressed in polynomial functions. To determine the explicit form of integrands, the formulation of element matrices of high -  order NMM is derived by using the special matrix operations including Kronecker product, Hadamard product and vectorization , resulting in a convenience of the derivation of the element matrices and  the explicit expression of integrands. Based on the derived formulae, a program of 3 - D NMM with high -  order for elastic static analysis of continuum is developed  and verified by examples.