Numerical and analytical solution of penetration equations by using dynamic spherical expansion method and reproducing kernel particle method

the objective of this paper is to present the dynamic spherical cavity expansion method (DSCEM) and reproducing kernel particle method (RKPM) for solving penetration equation in the metal target. At first, weak form of the problem is used to discrete the linear momentum equations in spherical coordinate and Lagrangian environment. Then the approximate function RKPM is substituted in the method. Therefore, using explicit method and Gauss quadrature rule and imposing the boundary conditions, the velocity and location equations are obtained. To show the validity of proposed method, some comparisons are made between the experimental and analytical results of other investigators and a good agreement is obtained

Keywords:

RKPM , dynamic spherical expansion penetration , metal targets