A finite element model for non‐linear shells of revolution with finite rotations
A finite element model for non‐linear shells of revolution with finite rotations
复制标题
有限旋转非线性旋转壳的有限元模型
DOI：
10.1002/nme.1620290706
复制
发表时间：
1990
影响因子：
2.9
通讯作者：
W. Wagner
中科院分区：
文献类型：
--
作者：
W. Wagner
本文讨论了有限转动的几何非线性弹性旋转壳的轴对称性态。与Reissner的方法和标准的经典壳理论相比，一个新的简单的战略是在轴对称的情况下，制定完全非线性应变措施。在这种方法中，变形指向矢d的计算是描述完全非线性弯曲行为所必需的主要假设。选择全拉格朗日描述来表示大位移。作为一个说明性的例子，给出了一个简单的两节点圆锥单元的有限元列式。弱形式的一致线性化导致二次收敛行为。比例加载下的讨论壳的例子表明，导出的有限元列式的良好性能。
The axisymmetric behaviour of geometrically non-linear elastic shells of revolution with finite rotations is discussed. In contrast to the approach of Reissner and to standard classical shell theories a new straightforward strategy is derived for the formulation of fully non-linear strain measures in the axisymmetric case. Within this approach the computation of the deformed director vector d is a main assumption which is essential to describe the fully non-linear bending behaviour. A Total Lagrangian Description is chosen to represent the large displacements. As an illustrative example the finite element formulation for a simple two-node conical element is given. A consistent linearization of the weak form leads to a quadratically convergence behaviour. The discussed shell examples under proportional loading show the good performance of the derived finite element formulation.