球坐标下数值流形方法有限单元覆盖的单元矩阵表达式

基金项目: 地球空间环境与大地测量教育部重点实验室研究基金资助项目(020903);中国科学院动力大地测量学重点实验室开放研究基金资助项目(L04-02)

详细信息

Spherical Expressions of Element Matrices for Finite Element Covers in Numerical Manifold Method

¹ Presidental Secretariat,Wuhan University,Luojia Hill,Wuhan 430072,China;² Key Lab.of Geospace Enviroment &Geodesy,Ministry of Education,Wuhan University,129 Luoyu Road,Wuhan 430079,China

Funds: 地球空间环境与大地测量教育部重点实验室研究基金资助项目(020903);中国科学院动力大地测量学重点实验室开放研究基金资助项目(L04-02)

摘要: 为将数值流形方法从平面扩展到球面,推导了球面上数值流形方法的有限单元覆盖的应变矩阵及刚度矩阵、初应力矩阵、点荷载矩阵、体荷载矩阵、惯性力矩阵和固定点矩阵的具体公式。
- 球坐标系 /
- 数值流形方法 /
- 单元矩阵
Abstract: In order to simulate crustal deformation in large scale,a 2D spherical NMM is developed from plane NMM.The new model adopts spherical triangles as mathematical covers.The stiffness matrix,initial stress matrix,point load matrix,body load matrix,inertia force matrix are derived,which lay a foundation for the new model.
- spherical coordinate system /
- numerical manifold method /
- element matrices