Application of improved SPH method on concrete penetration

The axisymmetric method is usually adopted to study the penetration problem, which can reduce the computational time. The 3D Gaussian kernel function is reduced to the 2D kernel at the circle angel 6=0 by the circle integral. Then, the smoothed particle hydrodynamics (SPH) control equations of the axisymmetric method are derived, and the two algorithms of point-point and point-surface contacts are introduced to the axisymmetric SPH method, in which the contact forces are calculated by two different ways. The projectile penetrating concrete slab is simulated by the above SPH simulations, in which the concrete is described by the Holmquist-Johnson-Cook constitutive and a damage model. The different residual velocities of the projectile are compared, which are respectively obtained by the non-contact, point-point and point-surface contact conditions. The computational and experimental results are compared as well. The computational result with contact force is prior to the result without contact force. Contact force prick up the destroying of target and the distortion of bomb.