一种新的旋率及其应用

A New Corotational Rate and Its Application

本文通过对物质矢量的李导数和位移场积分的物质导数的研究,分析讨论了旋率的有关性质,提出了一种修正的旋率,建立了相应的应力本构导数,并论证了其客观性。文中对简单剪切有限变形问题进行了应用分析计算,获得了比较满意的结果。

Based on the study of Lie derivative for material vector and material derivative for displacement field integral, the properties of corotational rate are analysed and discussed and a new spin is suggested. The corresponding stress constitutive derivative, which is proved to be objective, is established. The application analyses of finite simple shear deformation are given. The satifactory results are obtained.