Using finite strain 3D‐material models in beam and shell elements
Using finite strain 3D‐material models in beam and shell elements
复制标题
在梁和壳单元中使用有限应变 3D 材料模型
DOI：
10.1108/02644400210423918
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发表时间：
2002
影响因子：
1.6
通讯作者：
S. Govindjee
中科院分区：
文献类型：
--
作者：
Sven Klinkel;S. Govindjee
本文导出了包含特殊应力条件的任意三维材料定律与有限元之间的界面。梁和壳的力学模型通常基于零应力条件。这就要求每个有限元公式都有一个关于应力条件的材料定律。复杂的材料，例如有限应变模型通常用三维连续体来描述。考虑零应力条件需要对这些材料定律进行重新表述，这通常是复杂的。本文的主题是在梁和壳单元中纳入物理非线性三维材料定律。为此，将开发一种局部算法来压缩关于零应力条件的任意3D材料定律。该算法在单元级上满足各积分点的应力条件。
In this paper an interface is derived between arbitrary three‐dimensional material laws and finite elements which include special stress conditions. The mechanical models of beams and shells are usually based upon zero‐stress conditions. This requires a material law respecting the stress condition for each finite element formulation. Complicated materials, e.g. finite strain models are often described in the 3D‐continuum. Considering the zero‐stress condition requires a reformulation of these material laws, which is often complicated. The subject of this paper is to incorporate physically non‐linear 3D‐material laws in beam and shell elements. To this effect a local algorithm will be developed to condense an arbitrary 3D‐material law with respect to the zero‐stress condition. The algorithm satisfies the stress condition at each integration point on the element level.