论文标题
限制的cosserat壳模型，直至$ o（h^5）$：建模，最小化器的存在，与经典壳模型的关系以及弯曲张量的扩展不变性
A constrained Cosserat shell model up to order $O(h^5)$: Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor
论文作者
论文摘要
我们考虑了最近引入的几何非线性弹性cosserat壳模型，该模型将效果纳入$ o（h^5）$的效果中，以壳厚度$ h $。我们开发了相应的几何非线性约束cosserat壳模型，我们显示了$ O（H^5）$和$ O（H^3）$案例的最小化器，并与现有模型和经典的壳菌株测量进行了一些连接。值得注意的是，在Acharya的不变性条件下，强调并研究了出现新弯曲张量的作用[int。 J. Solids and Struct。，2000]将进一步加强。
We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order $O(h^5)$ in the shell thickness $h$. We develop the corresponding geometrically nonlinear constrained Cosserat shell model, we show the existence of minimizers for the $O(h^5)$ and $O(h^3)$ case and we draw some connections to existing models and classical shell strain measures. Notably, the role of the appearing new bending tensor is highlighted and investigated with respect to an invariance condition of Acharya [Int. J. Solids and Struct., 2000] which will be further strengthened.
