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

Abstract

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.

Depth of penetration of steel-tube-confined concrete targets based on dynamic finite cylindrical cavity-expansion models

“…By ignoring the compressibility and strain-softening of concrete, the cavity-expansion pressure would be overestimated; and if shear dilatancy, strain-rate, strain-hardening of concrete are not included, the cavity-expansion pressure would be underestimated. Therefore, under low and medium penetration velocity, the above effects of concrete material generally offset each other, which indicates the incompressible material assumption of target concrete is reasonable [31][32][33]. Additionally, incompressible material assumption excludes the effect of stress wave and thus greatly simplifies the problem with possible analytical solutions.…”

Engineering models of high speed penetration into geological shields

“…The authors of [80] compared their model with the model by Forrestal [53] and concluded that the difference between predictions of these two model is negligibly small for impact velocities less than 100 m/s and the discrepancy increases with increase of impact velocities. He et al [81] used similar approach based on quasi-dynamic SCE model.…”

Analytical engineering models for predicting high speed penetration of hard projectiles into concrete shields: A review

“…d 0 is hole diameter, and coefficients a 0 and a 2 are determined by the model of Forrestal et al (1994Forrestal et al ( , 1996. He et al (2011) proposed a spherical cavity expansion penetration model to predict penetration and perforation of concrete shields by ogive-nose projectiles. Shear dilatancy as well as compressibility of material in comminuted region are considered by introducing a dilatant-kinematic relation.…”

“…The above discussed three-phase model suggested by Teland (2001, 2003) for semiinfinite shields can be modified for shields having a finite thickness. He et al (2011) also suggested using their model not only for semi-infinite shield but also for shields having a finite thickness.…”