自然单元法主要是基于给定结点的Voronoi图,利用自然相邻插值进行形函数的构造,其形函数满足Kronecker delta性质,便于施加本质边界条件,这使得自然单元法同时兼有有限单元法和无网格法的优点。在材料非线性本构关系的基础上,推导了考虑材料非线性问题的自然单元法模型。算例表明:该模型在处理材料非线性问题时,具有一定的合理性和可行性,是一种有效的数值方法。 The natural element method is mainly based on the Voronoi diagram of a given node. It uses the natural adjacent interpolation to construct the shape function, whose shape function satisfies the Kronecker delta property and facilitates the application of essential boundary conditions. This makes the natural element method possess both the finite element method And the advantages of meshless method. Based on the nonlinear constitutive relationship of materials, a natural element method model considering material nonlinearity is deduced. The example shows that this model is reasonable and feasible to deal with the material nonlinearity problem and is an effective numerical method.