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| 地形变应变张量矩阵的不变量分析 | |
| 引用本文： | 刘序俨,季颖锋,黄声明,梁全强.地形变应变张量矩阵的不变量分析[J].大地测量与地球动力学,2011,31(4):66-70. |
| 作者姓名： | 刘序俨 季颖锋 黄声明 梁全强 |
| 作者单位： | 1. 福建省地震局,福州,350003 2. 福建省地震局,福州350003;日本神户大学大学院理学研究科,神户 6578501 3. 厦门地震勘察研究中心,厦门,361000 |
| 基金项目： | 中国地震局老专家科研基金 |
| 摘 要： | 在给出正交曲线坐标系的有关位移向量及其全微分、位移梯度矩阵、应变张量矩阵的普适表达式的基础上,又给出了任意两种正交曲线坐标系下的应变张量矩阵的普适转换表达式,并指出:由于该变换矩阵为正交矩阵,故应变张量矩阵为相似矩阵.并对应变张量矩阵的几何物理性质进行了分析,指出任何一种正交曲线坐标系的应变张量矩阵都具有唯一不变的主应... |
| 关 键 词： | 位移向量 位移梯度矩阵 应变张量矩阵 普适表达式 几何物理不变量 |
ANALYSIS OF INVARIANTS IN STRAIN TENSOR MATRIXES OF CRUSTAL DEFORMATION |
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| Liu Xuyan,Ji Yingfeng,Huang Shengming,Liang Quanqiang.ANALYSIS OF INVARIANTS IN STRAIN TENSOR MATRIXES OF CRUSTAL DEFORMATION[J].Journal of Geodesy and Geodynamics,2011,31(4):66-70. | |
| Authors: | Liu Xuyan Ji Yingfeng Huang Shengming Liang Quanqiang |
| Institution: | Liu Xuyan1),Ji Yingfeng1,3),Huang Shengming1)and Liang Quanqiang2)1)Earthquake Administration of Fujian Province,Fuzhou 3500032)Xianmen Research Centre of Earthquake Surveying,Xiamen 3610213)Faculty of Science,Kobe University,Rokkotaimachi 1-1,Nada,Kobe 6578501,Japan |
| Abstract: | On the basis of deducing the universal expressions in an orthogonal curvilinear coordinate system of the displacement gradient matrix and the strain tensor matrix of displacement vectors,we further derive the universal expression of the conversional matrix between two partial coodinates in random different orthogonal curvilinear coordinate systems,meanwhile,indicats that this conversional matrix also belongs to the orthogonal matrixes so that the strain tensor matrixes are similar matrixes.With this underst... |
| Keywords: | displacement gradient matrix strain and rotation tensor matrix universial expression geometric and physical invariant opting for a coordinate system |
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