球坐标下数值流形方法有限单元覆盖的单元矩阵表达式
Spherical Expressions of Element Matrices for Finite Element Covers in Numerical Manifold Method
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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。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.
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