Analytical simulation of high-speed impact onto composite materials targets

Abstract

This article presents a relatively simple analytical model aimed at simulating high-speed penetration into composite materials targets. The model is based on a set of basic hypotheses common to other previous analytical models developed in our department and elsewhere. However, this new model is of a more refined nature acquisition that allows for reliable results without requiring the use of parametric data needed in previous models. For the first time, the model provides a qualitative explanation of the sudden drop of energy absorbed by the target with impact velocities slightly higher than the ballistic limit. A qualitative explanation, experimentally observed, of the shape of woven fabric laminates after impact is also noted. The model predictions of both ballistic limit and residual velocity after perforation reasonably agree with experimental results, in spite of the use of static data of the target material. Thus, this model may serve as a useful tool for a primary stage of composite armour design, permitting a large number of parameters to be screened before using higher cost numerical and experimental approaches.

Analytical and numerical simulations of ballistic impact on composite lightweight armours

“…However, Chocron's model assumes that fibre failure takes place when a parameter R reaches a critical value that is also chosen to match experimental data. Finally, the newest Sanchez Paradela's model [10] does not require utilisation of any parametric quantity to derive equations that predict residual velocity, ballistic limit as well as target shape and energy absorption and, at the same time, is in good agreement with experimental results. See for instance fig.…”

“…Experimental results [11] and analytical predictions [10]. Ballistic limit against areal density for 1.1 g FSP impact onto UD 66 Dyneema fabric.…”

A new analytical model to simulate high-speed impact onto composite materials targets

“…This is possible by applying equilibrium of forces between a family of the N yarns, and the two yarns from the orthogonal family, as shown in figure 7. For further details, the reader is addressed to [14]:…”

“…Hence, those models should be considered as semi-empirical models. A couple of years ago, the authors developed a new analytical model to simulate high-speed normal impact onto composite material targets [14]. The model only needs input data determined from direct observation of target measures and mechanical properties, and it has been shown valid to predict both, the ballistic limit as well as the residual velocity after full perforation of the target for different fibres and temperatures [14][15][16].…”