Expression of strain tensor in orthogonal curvilinear coordinates

被引：1
|
作者：
Liu, Xuyan [1 ]
Ji, Yingfeng [1 ]
Liang, Quanqiang [2 ]
机构：
[1] Earthquake Adm Fujian, Fuzhou 350003, Fujian, Peoples R China
[2] Xiamen Res Ctr Earthquake Survey, Xiamen 361021, Peoples R China
来源：
GEODESY AND GEODYNAMICS | 2010年 / 1卷 / 01期
关键词：
Orthogonal Curvilinear Coordinates (OCC); Cartesian coordinates; strain tensor; transformation matrix; universal expression;
D O I：
10.3724/SP.J.1246.2010.00048
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
Based on an analysis of connotation and extension of the concept of the orthogonal curvilinear coordinates, we have deduced a platform of strain tensor expression of Cartesian coordinates, which turns out to be a function of Lame coefficient and unit vector. By using transform matrix between Cartesian coordinates and orthogonal curvilinear coordinates, we have deduced a mathematical expression for correcting displacement vector differential in orthogonal curvilinear coordinates, and given a general expression of strain tensor in orthogonal curvilinear coordinates.
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页码：48 / 56
页数：9
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