A material point method model and ballistic limit equation for hyper velocity impact of multi-layer fabric coated alumin

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A material point method model and ballistic limit equation for hyper velocity impact of multi-layer fabric coated aluminum plate Zhiping Ye . Xiong Zhang

. Gangtie Zheng . Guanghui Jia

Received: 14 August 2017 / Accepted: 31 August 2017 Ó Springer Science+Business Media B.V. 2017

Abstract A multi-layer fabric coated aluminum plate is usually used in the hard upper torso of space suit to protect astronauts from getting hurt by space dust. In this paper, the protective performance of the multi-layer fabric coated aluminum plate is investigated. To establish its ballistic limit equation, thirteen hyper velocity impact tests with different impact velocities (maximum velocity is 6.19 km/s) and projectile diameters have been conducted. To provide data for impact velocity higher than 6.2 km/s which is hard to be obtained by tests due to the limitations of test equipment capacity, a material point method (MPM) model is established for the multi-layer fabric coated aluminum plate and validated/corrected using the test results. The numerical results obtained using the corrected MPM model for impact velocity higher than 6.2 km/s are used together with the test results to develop the ballistic limit equation. The corrected Z. Ye  X. Zhang (&)  G. Zheng School of Aerospace Engineering, Tsinghua University, Beijing 100084, China e-mail: [email protected] Z. Ye e-mail: [email protected] G. Zheng e-mail: [email protected] G. Jia School of Astronautics, Beihang University, Beijing 100083, China e-mail: [email protected]

MPM model and the ballistic limit equation developed for the multi-layer fabric coated aluminum plate provide an effective tool for the space suit design. Keywords Hyper velocity impact  Material point method  Multi-layer fabric coated aluminum plate  Space suit  Ballistic limit equation

1 Introduction Due to their excellent impact-resistance, anti-fatigue and energy absorption capacity, fabrics and flexible composites are frequently used in protective structures to enhance their protective capacity (Hosur et al. 2004). For example, the multi-layer fabric coated aluminum plate structure, as shown in Fig. 1a, is used in the hard upper torso (HUT) of space suit to protect astronauts from getting hurt by space dust, where the multi-layer fabric consists of a outer-layer fabric, a multi-layer insulation (MLI) layer and a liner layer, as shown in Fig. 1b. The MLI layer is composed of aluminized films separated by gauzes (White et al. 2008). The investigation on the protective performance of the multi-layer fabric structures are generally based on the hyper velocity impact test. Mcallum (1969) studied the protective performance of different fabrics of space suit through hyper velocity impact test.

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Z. Ye et al. Multi-layer fabric Multi-layer fabric

(a)

Aluminum plate

MLI Liner

Outer-layer

(a)

(b)

(b)

(c)

Fig. 1 a Multi-layer fabric coated aluminum plate; b Multilayer fabric

Fig. 2 MPM discretization Zhang et al. (2016)

Christiansen et al. (1999) investigated the protective perform