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Initial value problem for the dynamic system of anisotropic elasticity |
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| Institution: | 1. Faculty of Mechanical Engineering, Istanbul Technical University, Istanbul, Turkey;2. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Via A. Gramsci, 53, Rome, 00197 Italy;1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, PR China;2. Mathematics Science College, Inner Mongolia Normal University, Hohhot 010022, PR China |
| Abstract: | The main object of this paper is the Cauchy problem for the dynamic system of anisotropic elasticity. Existence and uniqueness theorems of weak and smooth solutions of this problem are established by the reduction of the original elasticity system into a symmetric hyperbolic system of the first order. The numerical method of the Cauchy problem solving for anisotropic elastic system with polynomial data is obtained and its correctness is established. The simulations of the numerical solutions are presented. |
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