Using finite strain 3D-material models in beam and shell elements
Using finite strain 3D-material models in beam and shell elements
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DOI：
10.1108/02644400210450341
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发表时间：
2002-01-01
影响因子：
1.6
通讯作者：
Govindjee, S
中科院分区：
文献类型：
--
作者：
Klinkel, S;Govindjee, S
在本文中，一个接口推导出使用任意三维材料法在有限元，其中包括特殊的应力条件。梁和壳的力学模型通常基于零应力条件。这就需要一个关于每个有限元公式的应力条件的材料定律。复杂的材料，例如有限应变模型通常在三维连续体中描述。考虑零应力条件需要重新制定这些材料的法律，这往往是复杂的，本文的主题是将物理非线性三维材料的法律在梁和壳元素。为此，将开发一种局部算法，以压缩相对于零应力条件的任意3D材料定律。该算法满足应力条件，在每个积分点上的元素水平的比较所提出的算法，以突出当前的建议的属性。
In this paper an interface is derived for the use of arbitrary 3D-material laws in 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 A comparison of the proposed algorithm to a prior algorithm is made to highlight the properties of the current proposal.