Abstract
An analytical model is developed to examine a low impulsive projectile impact on a fully clamped sandwich beams by considering the coupled responses of the core and the face sheets. Firstly, based on the dynamic properties of foam cores, the sandwich beam is modeled as two rigid perfectly-plastic beams connected by rigid perfectly-plastic springs. Different from the previous sandwich beam model, the transverse compression and bending effects of the foam core are considered in the whole deformation process. Based on this model, different coupling mechanism of sandwich beams are constructed so that an analytical solution considering small deformation is derived. The coupled dynamic responses of sandwich beams with different core strengths are investigated. The results indicate that this model improves the prediction accuracy of the responses of the sandwich beams, and is available for the situation when the sandwich beam undergoes moderate global deformation.
Highlights
As one kind of representative structures widely used in the design of commercial and military vehicles, such as aircrafts, spacecrafts, vehicles, ships, and high speed train carriages, responses of sandwich structures subjected to impact at a wide range of velocities have attracted great attention and been extensively studied
Deshpande and Fleck (2005) examine the coupling between the fluid-structure interaction stage I and the core compression stage II. Their results show that the Taylor (1963) analysis based on a free-standing front facesheet underestimate the transmitted momentum by 20-40% for sandwich beams comprising high strength cores, which explains the discrepancies between the finite element (FE) simulations of Rabczuk et al (2004) and the analytical predictions of Fleck and Deshpande (2005)
In order to explain the discrepancy between the FE simulation of Liang et al (2007) and the analytical predictions of Fleck and Deshpande (2004), Tilbrook et al (2007) developed an analytical model based on time-scales of core compression and the bending/stretching response of the sandwich beam
Summary
As one kind of representative structures widely used in the design of commercial and military vehicles, such as aircrafts, spacecrafts, vehicles, ships, and high speed train carriages, responses of sandwich structures subjected to impact at a wide range of velocities have attracted great attention and been extensively studied. In order to explain the discrepancy between the FE simulation of Liang et al (2007) and the analytical predictions of Fleck and Deshpande (2004), Tilbrook et al (2007) developed an analytical model based on time-scales of core compression and the bending/stretching response of the sandwich beam. In their model, four regimes of behavior, that is, decoupled responses with the sandwich core densification partially or completely, and coupled responses with partial or full core compression, are defined.
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