Model of interaction of a rigid mesh with a deformable target

Abstract

We present an analytical model of the high-velocity impact interaction of a rigid mesh with a semi-infinite deformable target, which is modeled as a rigid-plastic body. We consider the so-called “normal” impact of the mesh on the target: we assume that at the initial moment and subsequent moments of time the mesh is parallel to the target surface while the mesh velocity vector is perpendicular to this surface. The model reproduces the most interesting case in which the mesh aperture is comparable to or less than the diameter of the strings from which the mesh is woven. The aim of the study was to investigate the dependence of the mesh penetration depth on the impact velocity $$V_{0}$$ and on the geometric parameter of the mesh γ that is equal to the ratio of the string diameter to the mesh period. Two versions of the model are considered: with and without taking into accounts the fragmentation of the ejected material of the target. The results obtained on the basis of the proposed model are compared with the numerical solutions which were obtained using the LS-DYNA package. The example of the penetration of a steel mesh into an aluminum-alloy target with impact velocities of 1–3 km/s is analyzed. It is shown that the model that takes into account fragmentation agrees well with the numerical simulations for the mesh parameter interval $$\gamma_{p} < \gamma < 1$$ , in which the lower boundary decreases with increasing impact velocity: $$\gamma_{p}$$ = 0.49, 0.29, 0.2 for $$V_{0}$$ = 1, 2, 3 km/s, respectively.