Calculation of penetration resistance of brittle materials using spherical cavity expansion analysis

Satapathy, S.; Bless, Stephan

doi:10.1016/0167-6636(96)00022-1

Cited by 54 publications

(37 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two possible models are the Mohr-Coulomb model for brittle materials (rock, ceramics etc.) [22][23][24] and the Drucker-Prager cap model for granular materials such as soil and powder [24][25][26], which could be potentially adapted to model the constitutive behavior of sand for simulation of sand under impact loading [27,28].…”

Section: Methodsmentioning

confidence: 99%

Effect of Mass Density on the Compressive Behavior of Dry Sand Under Confinement at High Strain Rates

Luo

Cooper

et al. 2011

Exp Mech

View full text Add to dashboard Cite

Dynamic compressive behavior of dry quartz sand (Quikrete #1961 sand quarried in Pensacola, FL) under confinement was characterized using a modified long split Hopkinson pressure bar (SHPB). Sand grains were confined inside a hollow cylinder of hardened steel and capped by cemented tungsten carbide cylindrical rods. This assembly was subjected to repeated shaking to consolidate sand to attain precise bulk mass densities. It is then sandwiched between incident and transmission bars on SHPB for dynamic compression measurements. Sand specimens of five initial mass densities, namely, 1.51, 1.57, 1.63, 1.69, and 1.75 g/cm 3 , were characterized at high strain rates near 600 s −1 , to determine the volumetric and deviatoric behaviors through measurements of both axial and transverse responses of a cylindrical sand sample under confinement. The stress-strain relationship was found to follow a power law relationship with the sand initial bulk density, with an exponent of 8.25, indicating a behavior highly sensitive to mass density. The energy absorption density and compressibility of sand were determined as a function of axial stress.

show abstract

Section: Methodsmentioning

confidence: 99%

Effect of Mass Density on the Compressive Behavior of Dry Sand Under Confinement at High Strain Rates

Luo

Cooper

et al. 2011

Exp Mech

View full text Add to dashboard Cite

show abstract

“…If V is small enough, there are three regions of response (Fig. 1a): an elastic region, a region with radial cracks (the material reaches its tensile strength) and a comminuted region (the material reaches its shear strength) [8,12,13]. As V increases, the cracked region diminishes and is eliminated eventually [4,10,12].…”

Section: Response Regionsmentioning

confidence: 99%

“…Furthermore, Forrestal and Luk [6] suggested a cavity expansion model in soil targets and derived penetration equations in 1992. The cavity expansion analysis technique has also been employed to investigate ceramic materials by Forrestal and Longcope [7], Satapathy and Bless [8]. In 1997, Xu et al [9] suggested an elastic-cracked model to estimate the forces on an ogival-nosed projectile penetrating into plain concrete targets whilst Forrestal and Tzou [10] developed an elastic-cracked-plastic model for reinforced concrete targets using spherical-cavity expansion analysis.…”

Section: Introductionmentioning

confidence: 98%

A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy

Wen

Guo

2011

Acta Mech Sin

View full text Add to dashboard Cite

A dynamic spherical cavity-expansion penetration model is suggested herein to predict the penetration and perforation of concrete targets struck normally by ogivalnosed projectiles. Shear dilatancy as well as compressibility of the material in comminuted region are considered in the paper by introducing a dilatant-kinematic relation. A procedure is first presented to compute the radial stress at the cavity surface and then a numerical method is used to calculate the results of penetration and perforation with friction being taken into account. The influences of various target parameters such as shear strength, bulk modulus, density, Poisson's ratio and tensile strength on the depth of penetration are delineated. It is shown that the model predictions are in good agreement with available experimental data. It is also shown that the shear strength plays a dominant role in the target resistance to penetration.

show abstract

“…By calculating the radial and hoop stress in these regimes, the ceramic penetration resistance in finite and infinite targets can be determined. In finite targets, for a given geometry (h and b known), equation (4) can be obtained as follows [26] (4) Figure 1. Response regions in the ceramic targets [25].…”

Section: Erosion Of Projectilementioning

confidence: 99%

“…Energies absorbed by delamination and matrix cracking at different time are given by [19] (25) The factors and stand for percentage delamination and percentage matrix cracking. Total absorbed energy by matrix cracking and delamination mechanisms are given by (26) Therefore, the total absorbed energy by laminated composite back-up plate is (27) Based on the energy conservation equation, during perforation, if the total absorbed energy by back-up composite and kinetic energy of the fragmented ceramic conoid equals to the kinetic energy lost by the projectile at any time , then the failure of laminated composite has occurred.…”

Section: Ceramic Equationmentioning

confidence: 99%

Analytical and experimental study of high-velocity impact on ceramic/nanocomposite targets

Shanazari

Liaghat

Feli

et al. 2017

Journal of Composite Materials

View full text Add to dashboard Cite

In this paper, an analytical model has been developed for modeling high velocity impact on ceramic/nanocomposite targets. In this model penetration resistance of ceramic is determined based on cavity expansion analysis and variables during perforation of projectile onto ceramic are considered. Also semi-angle of ceramic conoid is modified. This angle depends on impact velocity and changes during perforation process. For modeling the back-up composite laminate, the kinetic and strain energy of yarns and shear plugging have been determined. A failure model based on the energy absorption until failure of laminate composite is used. Ballistic impact tests were performed to validate the analytical predictions. These tests were performed by firing 10 mm steel flat ended projectile onto ceramic/composite target. Front layer is alumina ceramic and composite laminates of back up made of E-glass/epoxy with and without nano zirconia particle of 5 wt%. The effect of nano zirconia dispersion in the matrix for different failure modes is discussed. Experimental results revealed an improvement in the ballistic performance of samples with nano zirconia particle. The analytical predictions of ballistic limit velocity and residual velocity of projectile are found to be in good agreement with the experimental results.

show abstract

Calculation of penetration resistance of brittle materials using spherical cavity expansion analysis

Cited by 54 publications

References 13 publications

Effect of Mass Density on the Compressive Behavior of Dry Sand Under Confinement at High Strain Rates

Effect of Mass Density on the Compressive Behavior of Dry Sand Under Confinement at High Strain Rates

A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy

Analytical and experimental study of high-velocity impact on ceramic/nanocomposite targets

Contact Info

Product

Resources

About