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A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking

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2022
Authors
Mastilović, Sreten
Article (Accepted Version)
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Abstract
The present investigation relies upon an alternative approach to estimate the penetration depth of rigid projectiles into quasibrittle materials that utilizes simulation-informed modeling of penetration resistance. Penetration at normal incidence of a long rigid rod into massive targets, made of materials with inferior tensile strength predisposed to microcracking, is an event characterized by a high level of aleatory variability and epistemic uncertainty. This inherent stochasticity of the phenomenon is addressed by a model developed based on the particle dynamics (PD) simulations aimed to provide a key modeling ingredient— the functional dependence of the radial traction at the cavity surface on the radial velocity of the cavity expansion. The penetration depth expressions are derived for the ogive nose projectiles. The use of the power law radial traction dependence upon the expansion rate yields the penetration resistance and depth equations defined in terms of hy...pergeometric functions. These expressions are readily evaluated and offer a reasonably conservative estimate of the penetration depth. This model is validated by using experimental results of the penetration depth of long projectiles into Salem limestone, which is a typical example of quasibrittle materials with random microstructure well known for their pronounced experimental data scatter. This stochasticity is explored in the present paper by a sensitivity analysis of the key input parameters of the model; most notably, uniaxial tensile strength and friction coefficient.

Keywords:
Penetration depth / Rigid projectile / Quasibrittle materials / Cavity expansion / Parameter sensitivity
Source:
Meccanica, 2022, 57, 12, 3051-3069
Publisher:
  • Springer Nature
Funding / projects:
  • This research was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia.

DOI: 10.1007/s11012-022-01614-5

ISSN: 0025-6455

[ Google Scholar ]
URI
http://rimsi.imsi.bg.ac.rs/handle/123456789/1598
Collections
  • Radovi istraživača / Researchers’ publications
Institution/Community
Institut za multidisciplinarna istraživanja
TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1598
AB  - The present investigation relies upon an
alternative approach to estimate the penetration depth
of rigid projectiles into quasibrittle materials that utilizes
simulation-informed modeling of penetration
resistance. Penetration at normal incidence of a long
rigid rod into massive targets, made of materials with
inferior tensile strength predisposed to microcracking,
is an event characterized by a high level of aleatory
variability and epistemic uncertainty. This inherent
stochasticity of the phenomenon is addressed by a
model developed based on the particle dynamics (PD)
simulations aimed to provide a key modeling ingredient—
the functional dependence of the radial traction
at the cavity surface on the radial velocity of the cavity
expansion. The penetration depth expressions are
derived for the ogive nose projectiles. The use of the
power law radial traction dependence upon the expansion
rate yields the penetration resistance and depth
equations defined in terms of hypergeometric functions.
These expressions are readily evaluated and
offer a reasonably conservative estimate of the penetration
depth. This model is validated by using experimental
results of the penetration depth of long projectiles
into Salem limestone, which is a typical example
of quasibrittle materials with random microstructure
well known for their pronounced experimental data
scatter. This stochasticity is explored in the present
paper by a sensitivity analysis of the key input parameters
of the model; most notably, uniaxial tensile
strength and friction coefficient.
PB  - Springer Nature
T2  - Meccanica
T1  - A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking
EP  - 3069
IS  - 12
SP  - 3051
VL  - 57
DO  - 10.1007/s11012-022-01614-5
ER  - 
@article{
author = "Mastilović, Sreten",
year = "2022",
abstract = "The present investigation relies upon an
alternative approach to estimate the penetration depth
of rigid projectiles into quasibrittle materials that utilizes
simulation-informed modeling of penetration
resistance. Penetration at normal incidence of a long
rigid rod into massive targets, made of materials with
inferior tensile strength predisposed to microcracking,
is an event characterized by a high level of aleatory
variability and epistemic uncertainty. This inherent
stochasticity of the phenomenon is addressed by a
model developed based on the particle dynamics (PD)
simulations aimed to provide a key modeling ingredient—
the functional dependence of the radial traction
at the cavity surface on the radial velocity of the cavity
expansion. The penetration depth expressions are
derived for the ogive nose projectiles. The use of the
power law radial traction dependence upon the expansion
rate yields the penetration resistance and depth
equations defined in terms of hypergeometric functions.
These expressions are readily evaluated and
offer a reasonably conservative estimate of the penetration
depth. This model is validated by using experimental
results of the penetration depth of long projectiles
into Salem limestone, which is a typical example
of quasibrittle materials with random microstructure
well known for their pronounced experimental data
scatter. This stochasticity is explored in the present
paper by a sensitivity analysis of the key input parameters
of the model; most notably, uniaxial tensile
strength and friction coefficient.",
publisher = "Springer Nature",
journal = "Meccanica",
title = "A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking",
pages = "3069-3051",
number = "12",
volume = "57",
doi = "10.1007/s11012-022-01614-5"
}
Mastilović, S.. (2022). A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking. in Meccanica
Springer Nature., 57(12), 3051-3069.
https://doi.org/10.1007/s11012-022-01614-5
Mastilović S. A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking. in Meccanica. 2022;57(12):3051-3069.
doi:10.1007/s11012-022-01614-5 .
Mastilović, Sreten, "A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking" in Meccanica, 57, no. 12 (2022):3051-3069,
https://doi.org/10.1007/s11012-022-01614-5 . .

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