拉格朗日几何非线性混合应变元

MIXED STRAIN ELEMENTS IN LAGRANGIAN GEOMETRICAL NONLINEARITY

本文应用由Simo和Rifai建议的混合假定附加应变途径,采用第二Piola—Kirchhoff应力张量和Green—Lagrange应变张量作为能量共轭的应力应变度量,导出了Lagrange几何非线性下的胡海昌-Washizu三变量变分原理的Galerkin形式以及相应的混合假定应变元公式。

With the use of the second Piola-Kirchhoff stress tensor and the Green-Lagrange strain tensor as energy conj ugate stress-strain measures, the mixed assumed enhanced strain approach proposed by Simo and Rifai is employed to derive the Hu-Washizu three field variational principle in Galerkin form with Lagrangian geometrical nonlinearity and corresponding formulations of the mixed assumed strain element.