论文标题

线性限制的cosserat-shell模型,包括最高$ {o}(h^5)$的项。有条件和无条件的存在和独特性

Linear constrained Cosserat-shell models including terms up to ${O}(h^5)$. Conditional and unconditional existence and uniqueness

论文作者

Ghiba, Ionel-Dumitrel, Neff, Patrizio

论文摘要

在本文中,我们将最近引入的几何非线性约束cosserat-shell模型进行线性化。在线性约束的Cosserat-shell模型的框架中,我们将线性模型与经典的线性Koiter Shell模型和“最佳”一阶壳模型进行了比较。对于所有提出的线性模型,我们根据Korn对表面的不平等表现出存在和独特性。

In this paper we linearise the recently introduced geometrically nonlinear constrained Cosserat-shell model. In the framework of the linear constrained Cosserat-shell model, we provide a comparison of our linear models with the classical linear Koiter shell model and the "best" first order shell model. For all proposed linear models we show existence and uniqueness based on a Korn's inequality for surfaces.

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