论文标题
精制的6参数壳模型的推导：使用经典壳理论的方法从三维cosserat弹性下降
Derivation of a refined 6-parameter shell model: Descent from the three-dimensional Cosserat elasticity using a method of classical shell theory
论文作者
论文摘要
从三维的Cosserat弹性开始，我们为各向同性弹性壳提供了二维模型。对于尺寸缩小，我们采用了一种类似于经典壳理论中使用的方法，如Steigmann在[J.弹性。 \ textbf {111}：91-107，2013]。结果，我们获得了具有特定形式的应变能密度的几何非线性cosserat壳模型，该模型具有简单的表达式，其系数取决于初始曲率张量和三维材料常数。还记录了应力 - 应变关系和局部平衡方程的明确形式。最后，我们将结果与其他6参数壳模型进行了比较，并讨论了与经典的Koiter Shell模型的关系。
Starting from the three-dimensional Cosserat elasticity, we derive a two-dimensional model for isotropic elastic shells. For the dimensional reduction, we employ a derivation method similar to that used in classical shell theory, as presented systematically by Steigmann in [J. Elast. \textbf{111}: 91-107, 2013]. As a result, we obtain a geometrically nonlinear Cosserat shell model with a specific form of the strain-energy density, which has a simple expression with coefficients depending on the initial curvature tensor and on three-dimensional material constants. The explicit forms of the stress-strain relations and the local equilibrium equations are also recorded. Finally, we compare our results with other 6-parameter shell models and discuss the relation to the classical Koiter shell model.
