Numerical simulation of dynamic process of the Tangshan earthquake by a new method - LDDA

被引:40
作者
Cai, YG [1 ]
He, T
Wang, R
机构
[1] Peking Univ, Geodynam Res Ctr, Dept Geophys, Beijing 100871, Peoples R China
[2] Peking Univ, Dept Geol, Beijing 100871, Peoples R China
[3] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
关键词
multi-elastic body system; discontinuous deformation; dynamic analysis method; modeling earthquake process;
D O I
10.1007/PL00001076
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
LDDA (Lagrangian Discontinuous Deformation Analysis) is a new numerical analysis method to deal with the problems of discontinuous deformation in elastic block systems. The method is based on DDA (Discontinuous Deformation Analysis) and the domain decomposition algorithm. Due to the use of the contact criteria of the DDA, it is not necessary to define a slide line in advance for contact problems, which is needed in the classical FEM. The method prevails over the penalty method in the satisfaction of constrain conditions. By using the domain decomposition algorithm, the efficiency in solving equations is improved greatly. The process of solving a multi-elastic body system by LDDA is as follows: 1) to find total contact points (Lagrange multiplier points) among the elastic bodies according to the contact criteria of the DDA; 2) to solve the contact forces (Lagrange multipliers) by domain decomposition method; and 3) to calculate the displacement and stress caused by the contact forces and other loads by the FEM for each elastic body. In this paper, the method is used to model the dynamic process of the Tangshan earthquake (M-s = 7.8) of 28 July, 1976 and to directly obtain the quasi-static and dynamic dislocations. shear stress drop, and rupture velocity of the earthquake fault. The simulation shows that the method can be used to efficiently solve the dynamic problems of earthquakes. It is also applicable for solving rock-engineering problems as a multi-elastic body system.
引用
收藏
页码:2083 / 2104
页数:22
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