A Two-Dimensional Non-Linear Shell Model of Koiter’s Type
A Two-Dimensional Non-Linear Shell Model of Koiter’s Type
复制标题
Koiter型二维非线性壳模型
DOI：
10.1007/978-94-017-2008-3_29
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
P. G. Ciarlet
中科院分区：
文献类型：
--
作者：
P. G. Ciarlet
WT Koiter [8]基于几何和力学性质的先验假设提出了一种二维非线性壳模型。然而，在这个模型中出现的曲率张量的“精确”变化具有一个分母，该分母对于某些位移可能为零.本文的目的是提出一个相关的非线性壳模型，其中曲率张量的精确变化被一个特别的“修正”张量所取代，其形式由V. Lods和B最近的工作所建议. Miara，然后是A。罗克福尔。这个张量的优点是它不再有可能为零的分母;事实上，这个张量的协变分量是关于未知位移场及其偏导数的协变分量的次数≤ 3的简单多项式。
A two-dimensional non-linear shell model, based on a priori assumptions of geometrical and mechanical nature, has been proposed by WT Koiter [8]. However, the ‘exact’change of curvature tensor appearing in this model possesses a denominator that may vanish for some displacements.The purpose of this paper is to propose a related non-linear shell model, where the exact change of curvature tensor is replaced by an ad hoc ‘modified’tensor, the form of which is suggested by recent works of V. Lods and B. Miara, then of A. Roquefort. The advantage of this tensor is that it no longer has a possibly vanishing denominator; in fact, the covariant components of this tensor turn out to be simply polynomials of degree≤ 3 with respect to the covariant components of the unknown displacement field and of their partial derivatives.