Kinematics of Differential Riemannian Surfaces

摘要：

Recently, Xie et al.(2012)”1,2” put forward the finite deformation theory ofcontinuous medium whose geometrical status is a general smooth 2-dimensional surfaceembedded in 3-dimensional Euclidian space. The whole theory of 2-dimensional surfaceincludes the kinematics and kinetics. In the present paper, the kinematics of 2-dimensionalsurface is extended to the one that is available to the general p-dimensional surface embeddedin p+1 dimensional Euclidian space. The major contents of the theory include the physical andparametric configurations, surface deformation gradient with its properties, deformationdescriptions and transport theories. In addition, the widely used Stokes formulas in mechanicsof continuous mediums are proved by Stokes formula in differential manifolds.

关键词： mechanics of continuous mediums finite deformation theory Riemannian manifold high dimensional Riemannian surface Stokes formula

作者: XIE XiLin

作者单位: Department of Mechanics end Engineering Science,Fudan University,Shanghai 200433

会议类型: 国内会议

会议名称: 第十三届现代数学和力学学术会议(MMM-XIII)暨钱伟长诞辰100周年纪念大会

会议地点: 上海

会议语种:英文

页码: 1-16

在线出版日期: 2012-10-05（万方平台首次上网日期，不代表论文的发表时间）