Analytical modelling of metallic circular plates subjected to impulsive loads

Zaera, R.; Árias, A.

doi:10.1016/s0020-7683(01)00101-9

Cited by 29 publications

(11 citation statements)

References 10 publications

(24 reference statements)

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“…Nowadays several publications can be found in the international literature dealing with high strain rate behaviour of different metallic materials directly related to engineering applications like automotive (Rusinek et al, 2008a;Larour et al, 2007;Mae et al, 2007;Smerd et al, 2005), civil (Kobayashi et al, 2008;Shanmugama et al, in press;Zaera et al, 2002), aeronautical (Fasanella and Jackson, 2001;Piekutowski, 1999) or naval (Nemat Nasser and Guo, 2003;Martineau et al, 2004) industries. Particularly, the behaviour of high strength sheet metals 1 when subjected to high velocity impact by rigid projectiles has raised a considerable interest as it is illustrated in the works (Borvik et al, 2002a,b;Gupta et al, 2006Gupta et al, , 2007Ar ias et al, 2008;Rusinek et al, 2008b).…”

Section: Introductionmentioning

confidence: 99%

Modelling of thermo-viscoplastic behaviour of DH-36 and Weldox 460-E structural steels at wide ranges of strain rates and temperatures, comparison of constitutive relations for impact problems

Klepaczko

Rusinek

Rodríguez-Martínez

et al. 2009

Mechanics of Materials

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a b s t r a c tIn this paper, the thermo viscoplastic behaviour of DH 36 and Weldox 460 E steels is ana lyzed at wide ranges of strain rates and temperatures. These materials are commonly used for naval applications. Thus, they may be subjected to a wide range of exploitation temper atures and at the same time to high strain rates due to accidental impact or explosion. The thermo viscoplastic behaviour of these materials has been modeled by application of RK , and 77 K to about 1000 K). Especially for high strain rate level, the predictions of RK model are notably more precise than those predic tions obtained using PB and JC models. This proof converts RK model in suitable for mod eling impact problems. Finally, numerical simulations of perforation process of DH 36 and Weldox 460 E steel plates impacted by conical non deformable projectiles have been car ried out using RK and JC models. Numerical results using FE simulations have revealed sub stantial influence of the constitutive relation concerning the ballistic limit, residual velocity and failure time predictions for the same initial and boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Modelling of thermo-viscoplastic behaviour of DH-36 and Weldox 460-E structural steels at wide ranges of strain rates and temperatures, comparison of constitutive relations for impact problems

Klepaczko

Rusinek

Rodríguez-Martínez

et al. 2009

Mechanics of Materials

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“…This assumption was realistic since the adopted aluminum material was very soft compared with the indenter material. In addition, the deformation due to membrane and transverse shear deformation was neglected, simplification considering that small displacements were induced to the plates [38]. Figure 2a shows that maximum out-of-plane displacement, d, occurred at the edge of the plate or the clamped perimeter in this case.…”

Section: Experimental Methodologymentioning

confidence: 99%

Indentation Measurement in Thin Plates under Bending Using 3D Digital Image Correlation

et al. 2021

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In the current paper, a novel experimental methodology to characterize the contact behavior on thin plates under bending is presented. The method is based on the experimental measurement of the indentation observed during contact experiments. Tests were conducted using aluminum thin plates and a steel sphere to evaluate the effect of thickness and bending during contact. For this purpose, a non-contact optical technique, 3D Digital Image Correlation (3D-DIC), has been employed to measure the out-of-plane displacements experienced at the rear face of the specimens (opposite where the contact is occurring). An indirect measurement of the experimental contact law is obtained for different plate thicknesses (2 mm, 3 mm, 4 mm, 5 mm and 6 mm) as the contact load increases. An energy balance performed during contact experiments made it possible to evaluate and quantify the applied energy to generate bending and contact deformation. When the specimen thickness increases from 2 mm to 6 mm, contact deformation reaches higher values from the total applied energy. In addition, it is also possible to evaluate the portion of the elastically recovered energy for contact and bending deformation during the unloading. It has been observed that thicker specimens show a lower elastic energy recovery due to bending and a higher elastic energy recovery due to contact. Results clearly show how the ratio between absorbed and applied energy changes as the specimen thickness increases, highlighting the relevance of the proposed method for the characterization of contact behavior in thin plates.

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“…We developed recently an analytical model to simulate the dynamic response of metallic circular plates subjected to impulsive loads [6]. It is based on the plate energy balance equation (7) in which WE, EK and Wyare the external work, the kinetic energy and the plastic work.…”

Section: Metallic Platementioning

confidence: 99%

An engineering model on penetration of eroding rods into ceramic/polymer composite

Zaera

Árias

2003

J. Phys. IV France

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A new material composed of a polymer matrix loaded with ceramic particles, at low cost and of higher ballistic efficiency than that of the metallic materials used for armouring applications, is proposed as an alternative to the ceramic tiles traditionally adopted for mixed panels. An engineering model was developed to simulate normal impacts of projectiles against this particulate composite backed by a metallic plate. The equation governing the erosion of projectile and ceramic is that proposed by Tate and Alekseevskii, modified to consider a moving target. For the volume of particulate composite between the projectile and the metallic plate, an equation was derived to include a momentum balance. For the metallic plate, an energy balance equation was used. When the projectile has eliminated the ceramic/polymer composite and meets the plate, the model of Awerbuch & Bodner is adopted, again modified to consider a moving target. In this way, the impact process is described by a set of non-linear differential equations, to be integrated in time. The model was validated with experimental results and with full numerical simulations and showed agreement with both of them.

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Analytical modelling of metallic circular plates subjected to impulsive loads

Cited by 29 publications

References 10 publications

Modelling of thermo-viscoplastic behaviour of DH-36 and Weldox 460-E structural steels at wide ranges of strain rates and temperatures, comparison of constitutive relations for impact problems

Modelling of thermo-viscoplastic behaviour of DH-36 and Weldox 460-E structural steels at wide ranges of strain rates and temperatures, comparison of constitutive relations for impact problems

Indentation Measurement in Thin Plates under Bending Using 3D Digital Image Correlation

An engineering model on penetration of eroding rods into ceramic/polymer composite

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