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介绍了一个解决四面体单元大小变形问题的稳定混合有限元方程。该方程的独特性在于它的普遍性,也就是这个方程可以应用于任何形状的材料模型,对模型的几何或材料参数没有任何限制为了克服体积测量的困难,在混合方程里采用线性位移和应力场。通过采用Bubble函数提高形变张量比值来达到其稳定性,由ANSYS的用户执行单元完成。基于ANSYS平台,通过对比预期结果和二次四面体单元、六面体单元混合方程的计算结果可以得到单元的属性。计算结果表明,新方程在解决复杂工程中所起的作用重大。
A stable mixed finite element equation is presented to solve the problem of deformation of tetrahedral elements. The uniqueness of this equation lies in its universality, that is, this equation can be applied to any shape of material model without any restrictions on the geometry or material parameters of the model. To overcome the difficulty of volumetric measurement, linear displacements and stresses are used in the mixing equation field. Its stability is achieved by using the Bubble function to increase the strain-tensor ratio, which is done by the user's execution unit of ANSYS. Based on the ANSYS platform, the properties of elements can be obtained by comparing the results of the expected and quadratic tetrahedron and hexahedral elements. The results show that the new equation plays a significant role in solving complex engineering.