论文标题
cosserat弹性中的无效拉格朗日人
Null Lagrangians in Cosserat elasticity
论文作者
论文摘要
在非线性弹性的非线性理论（也称为微极弹性）的框架中，我们为三维体和壳提供了无效的Lagrangians的完整表征。使用GIBB的旋转矢量来描述微功能，通过Olver和Sivaloganathan在“ {Null Lagrangians的结构}'的结构（非线性，{1}，{1}，1988年，第389-398页）中，可以通过Olver and Sivaloganathan所说的定理的应用进行此任务。还为一组必要和充分的条件提供了弹性张量，以对应于线性化的微极理论中的无效拉格朗日。
In the framework of nonlinear theory of Cosserat elasticity, also called micropolar elasticity, we provide the complete characterization of null Lagrangians for three dimensional bodies as well as for shells. Using the Gibb's rotation vector for description of the microrotation, this task is possible by an application of a theorem stated by Olver and Sivaloganathan in `{the structure of null Lagrangians}' (Nonlinearity, {1}, 1988, pp. 389-398). A set of necessary and sufficient conditions is also provided for the elasticity tensors to correspond to a null Lagrangian in linearized micropolar theory.
