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A robust non-linear solid shell element based on a mixed variational formulation

机译：基于混合变分公式的鲁棒非线性固体壳单元

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The paper is concerned with a geometrically non-linear solid shell finite element formulation, which is based on the Hu-Washizu variational principle. For the approximation of the independent displacement, stress and strain fields, the strain field is additively decomposed into two parts. Due to the fact that one part of the strain field is interpolated in the same manner as proposed by the enhanced assumed strain (EAS) method, it is denoted as EAS field. The other strain field is approximated with the same interpolation functions as the stress field. In contrast to the EAS concept the approximation spaces of the stresses and the enhanced assumed strains are not orthogonal. Consequently the stress field is not eliminated from the finite element equations. For the displacements tri-linear shape functions are considered. Shear locking and curvature thickness locking are treated using assumed natural strain interpolations. A static condensation leads to a simple low order hexahedral solid shell element. Numerical tests show that the present model is very robust and allows larger load steps than an EAS solid shell element.
机译：本文涉及基于Hu-Washizu变分原理的几何非线性固体壳有限元公式。为了近似独立位移，应力场和应变场，将应变场累加分解为两部分。由于以与增强假定应变（EAS）方法建议的方式相同的方式插值了一部分应变场，因此将其表示为EAS场。另一个应变场的近似插值函数与应力场相同。与EAS概念相反，应力和增强的假定应变的近似空间不是正交的。因此，不能从有限元方程中消除应力场。对于位移，考虑三线性形状函数。剪切锁定和曲率厚度锁定使用假定的自然应变插值进行处理。静态凝结导致简单的低阶六面体固体壳单元。数值测试表明，与EAS实心壳单元相比，本模型非常健壮，并且允许更大的载荷阶跃。

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