Application of Numerical Integration Technology in Finite Element Numerical Calculation of Impact Mechanics

In this paper, different integral methods for the finite element calculation of nodal force in the equation of motion are studied. The single point quadrature method has high calculation efficiency, but the calculation accuracy is low. In order to control the hourglass deformation, the anti-hourglass node force must also be introduced. Using multi-point Gaussian quadrature can avoid hourglass deformation and obtain high calculation accuracy at the cost of increasing part of the calculation. The simulation results show that the eight point Gaussian quadrature is closer to the theoretical value than the single point quadrature, and can well control the hourglass deformation. Obviously, the calculation result of the eight point Gaussian quadrature is obviously better than the single point quadrature. The calculation results also show the rationality and effectiveness of the method and program described in this paper. It provides a practical and effective means for the numerical analysis of penetration process.