基于六面体网格的向量式有限元分析及应用

基于向量式有限元基本原理，给出了八节点六面体等参实体单元的基本公式，通过投影方式将空间曲面六面体转换为投影六面体，采用参考面的逆向运动求解节点纯变形，通过单元形函的虚功方程计算节点内力；针对坐标模式和内力积分模式等关键问题提出了有效的处理方案。编制了六面体实体单元的数值计算程序，并进行工程结构算例分析。结果表明，所编制程序可有效模拟实体结构的静力、动力及大变形大位移行为分析，验证了本文理论和程序的正确性和实用性。

Analysis and application of the vector form intrinsic finite element based on the hexahedral grid

Based on fundamental principles of the VFIFE,the basic formulas of the 8-node hexahedral isoparametric element are firstly derived in this paper.Through the projection method,the space-curved hexahedron is converted to the space-flatted hexahedron.Then,the pure nodal deformation through reverse movement of the reference plane,and the internal nodal forces through virtual work equation of the element shape function.Effective approaches are also proposed for some key problems,including the coordinate modes and the integral modes for internal forces.On this basis,a computer program is developed and applied to the analysis of the engineering structural examples.Results show that,the static analysis,the dynamic analysis and the large deformation and large displacement analysis for solid structures can all be well performed by the developed program,verifying the correctness and practicability of the theory and the program.