西安理工大学学报2016，Vol.32Issue(4)：428-431,4.DOI:10.19322/j.cnki.issn.1006-4710.2016.04.009
曲线坐标系下三维弹性壳体中的微分几何关系
Differential geometric relations on the three-dimensional elastic shell in the curvilinear ordinates systems
摘要
Abstract
The differential geometric relations between 3D elastic shell and the middle surface of shell are provided,which is of importance for forming 2D linear and nonlinear elastic shell mod-els.Concretely,the metric tensor,the determinant of metric matrix field and the Christoffel symbols on the 3D elasticity are expressed by those on the 2D middle surface,which are featured by the asymptotic expressions with respect to the variable in the direction of thickness of the shell.关键词
微分几何/度量张量/Christoffel符号Key words
differential geometry/metric tensor/Christoffel symbol !分类
数理科学引用本文复制引用
沈晓芹,李昊明..曲线坐标系下三维弹性壳体中的微分几何关系[J].西安理工大学学报,2016,32(4):428-431,4.基金项目
国家自然科学基金资助项目（11571275）；陕西省工业科技攻关资助项目（2015GY021）；陕西省教育厅基金资助项目 （）
