摘要
作者讨论了采用常应力模式的组合杂交有限元方法对协调三线性H8-六面体元的改进.位移逼近使用两种方式:连续等参三线性插值和非协调Wilson位移模式.数值试验表明这两种新单元能显著改进H8-元的粗网格精度.由于应力参数可在单元水平消去,新方法的计算量与H8-元相当.
Improvement of conforming trilinear H8-hexahedron element by the combined hybrid finite element method with piecewise constant stress approximation is discussed. Two kinds of displacement approxinations are used: continuous isoparametric trilinear displacements and incompatible Wilson-like displacements. Numerical tests indicate that the two improved versions of HS-hexahedron element can attain much higher accuracy than H8 at coarse meshes. Due to elimination of stress parameters at the element level, the proposed methods are of almost the same computational cost as that of HS.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第5期1265-1270,共6页
Journal of Sichuan University(Natural Science Edition)
关键词
有限元
组合杂交方法
能量误差
finite element, combined hybrid method, energy-error