Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
- Authors
- Petushkov, Vladimir A.
- Contact information
- Petushkov, Vladimir A.: Blagonravov’ Mechanical Engeneering Research Institute RAS, S. Kharitonievsky lane, 4, Moscow, 101990 Russia; e-mail:
- Keywords
- deformable media; finite deformation; Hamiltonian description; symplectic integrator; point approximation; mathematical simulation
- Abstract
A method of mathematical modeling of the dynamics of three-dimensional nonlinear deformable hyperelastic media is developed in this paper. The method is based on the Hamiltonian description of discrete classical mechanics and on symplectic integration method for the solution at each instant of time. Comparative results of the solution of a model problem are presented. The results of solution of the topical problem of dynamic behavior of an artificial aortic artery are also presented.
- Pages
- 237–246
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/9682
Journal of Siberian Federal University. Mathematics & Physics / Discrete a Non-linear Hamiltonian Dynamics Models of Hyper Elastic Deformable Media
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