Impact of a Deformable Cylinder with a Rigid Barrier: A Numerical Solution
Abstract
This study provides a numerical solution for a two-dimensional axisymmetric problem involving a deformable cylindrical body impacting a rigid barrier at a constant velocity. Under the specified velocity conditions, the cylindrical body undergoes both elastic and plastic deformation. The two-dimensional axisymmetric nonstationary wave problem is solved using the finite difference method, employing the modified Wilkins scheme. The analysis focuses on changes in the shape of the cylindrical body post-impact and examines the parameters of elastic–plastic wave deformation in both axial and radial directions at fixed points. The numerical solutions are compared with established experimental results, demonstrating good agreement. Additionally, the wave parameters within the cylindrical body are analyzed as functions of the impact velocity. The findings indicate that the finite difference method utilizing the Wilkins scheme yields reliable results for a two-dimensional axisymmetric elastic–plastic nonstationary wave problem. The numerical results obtained can be used to assess wave parameters and the strength of similar bodies impacting a rigid barrier at high velocities.