Cosserat Equations And Numerical Algorithms Elastic Rod With Electrostatic Repulsion

Dynamics model of elastic rods has been widely applied in practical problems, Such as cable, fiber, hair and so on. these common things of life can be modeled as elastic thin rods to research. To make the DNA macromolecules as background of the model of elastic rods with electrostatic repulsion, and it has been applied to the study on numerical methods of elastic rods with content and self-content.Through the study of Cosserat dynamic model of elastic rods with electrostatic repulsion, the main research contents and the results obtained are followed:(1) Based on the assumption that the rigid cross section is circular cross-section, relatively simple Cosserat dynamical equations of elastic rods are established according to Newton dynamics theorem.(2) The model of elastic rods in which the distribution force is electrostatic repulsion force is obtained. The distribution of electrostatic charge in the elastic rods is approximately continuous. Then according to Coulomb’s law in physics, the Cosserat dynamic model of elastic rods with electrostatic repulsion is derived.(3) Taking the electrostatic repulsion force as the distribution force of elastic rods into the Cosserat dynamical equations of elastic rods, then the Cosserat equations of elastic rods with electrostatic repulsion are obtained. These equations are partial differential equations. In the given initial conditions, the corresponding numerical results and analysis were got.