Journal of Siberian Federal University. Mathematics & Physics / Discrete a Non-linear Hamiltonian Dynamics Models of Hyper Elastic Deformable Media

Full text (.pdf)
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