On the optimal nose geometry for a rigid penetrator, including the effects of pressure-dependent friction

Jones, Stanley E.; Rule, William K.

doi:10.1016/s0734-743x(99)00157-8

Cited by 57 publications

(45 citation statements)

References 6 publications

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“…The friction coefficient may be small but, as shown previous (Yakunina, 2000a(Yakunina, , 2001a(Yakunina, , 2001bJones and Rule, 2000), it has noticeable effects on the optimal nose geometry.…”

Section: Case With µ 0 =mentioning

confidence: 70%

Effects of Sliding Friction on the Optimal 3D- Nose Geometry of Rigid Rods Penetrating Media

Yakunna

2005

Optim Eng

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Friction effects on the optimum shape design for a normal impacting, rigid body are investigated and the optimum 3D-nose shapes of rods are proposed for deep penetration into soil, concrete and metal media. The study is conducted by assuming that the normal and tangent stresses, that act on the impactor nose, are of the Poncelet and Coulomb forms, respectively. The geometrical characteristics of the shapes maximizing penetration depth are compared with those of the minimal resistance bodies obtained at the initial stage of the penetration event. When mass, shank radius and nose length of the rods are fixed, a comparative study of the penetration depths of the optimal impactors and impactors with conical and ogival nose shapes is carried out. The conditions, when the benefits of the optimal configurations in providing deep penetration into soil, concrete and metal media become significant in comparison with other shapes, have been obtained. The model parameters are taken from the published reports on penetration data obtained for striking velocities to 1.5 km/s while the impactors remained rigid and visibly undeformed.

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Section: Case With µ 0 =mentioning

confidence: 70%

Effects of Sliding Friction on the Optimal 3D- Nose Geometry of Rigid Rods Penetrating Media

Yakunna

2005

Optim Eng

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“…For the particular case of sharp bodies of revolution, the similarity between drag minimization for constant velocity and maximization of the DOP was noticed in [35]. In [41] it is demonstrated that maximization of the DOP in the cases of 1 & 2 "averaged" model without friction is to the maximization of the same functional.…”

Section: Some Methodological Remarksmentioning

confidence: 89%

Shape optimization of high-speed penetrators: a review

2012

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In spite of a large number of publications on shape optimization of penetrating projectiles there are no dedicated surveys of these studies. The goal of the present review is to close this gap. The review includes more than 50 studies published since 1980 and devoted to solving particular problems of shape optimization of high-speed penetrators. We analyze publications which employed analytical and numerical method for shape optimization of high-speed penetrators against concrete, metal, fiber-reinforced plastic laminate and soil shields. We present classification of the mathematical models used for describing interaction between a penetrator and a shield. The reviewed studies are summarized in the table where we display the following information: the model; indicate whether the model accounts for or neglects friction at the surface of penetrator; criterion for optimization (depth of penetration into a semi-infinite shield, ballistic limit velocity for a shield having a finite thickness, several criteria); class of considered shapes of penetrators (bodies of revolution, different classes of 3-D bodies, etc.); method of solution (analytical or numerical); in comments we present additional information on formulation of the optimization problem. The survey also includes discussion on certain methodological facets in formulating shape optimization problems for high-speed penetrators.

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“…where F x is the resisting force produced by the target material onto the projectile, which can be calculated by a balance of forces on the spherical cavity wall in the following manner [22,23]:…”

Section: Penetration Engineering Modelmentioning

confidence: 99%

“…The effective plastic strain ( pl ) can be numerically found, integrating (22) over ξ in the plastic domain [1, ξ i ] with boundary condition pl (ξ i ) = 0.…”

Section: Strain-rate-sensitive Model (Ss)mentioning

confidence: 99%

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An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

Buchely

Maranon

2015

Acta Mech

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The impact of a rigid-rod into a low-strength target is an ubiquitous research problem in many scientific and engineering fields. Typically, this impact has been modeled by the expansion of a pressurized spherical cavity in an unbounded elasto-plastic medium. In this paper, an engineering penetration model was developed using the dynamic spherical cavity expansion theory for an elasto-plastic, compressible, straindependent and strain-rate-sensitive material. The material plastic flow behavior was modeled using the CowperSymonds strength model. The engineering model was numerically solved, and its predictions were compared with results of computational finite-elements simulations performed in ANSYS/AUTODYN. Additionally, engineering and computational models were validated with experimental data using spherical-nosed, M300 steel projectiles impacting a semi-infinite Al 6061-T651 plate. Comparisons showed good agreement among engineering model results, computational model results and experimental data.

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On the optimal nose geometry for a rigid penetrator, including the effects of pressure-dependent friction

Cited by 57 publications

References 6 publications

Effects of Sliding Friction on the Optimal 3D- Nose Geometry of Rigid Rods Penetrating Media

Effects of Sliding Friction on the Optimal 3D- Nose Geometry of Rigid Rods Penetrating Media

Shape optimization of high-speed penetrators: a review

An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

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