Generalized Covariant Derivative with Respect to Time in Flat Space(Ⅱ):Lagrangian Description

作     者：Yajun Yin 

作者机构：Department of Engineering Mechanics School of Aerospace Engineering Tsinghua University 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2016年第29卷第4期

页      面：359-370页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Sciences Foundation of China(No.11272175) the Specialized Research Found for Doctoral Program of Higher Education(No.20130002110044) 

主　　题：Lagrangian description the postulate of covariant form invariability generalized Lagrangian component generalized covariant derivative with respect to time covariant differential transformation group 

摘      要：The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description:on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained.