The shape of slender three-dimensional bodies with maximum depth of penetration into dense media

Ostapenko, N. A.; Yakunina, G.Ye.

doi:10.1016/s0021-8928(00)00013-7

Cited by 17 publications

(2 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The positive coefficients As, C1 and C2 are constant parameters of the model, determined by the characteristics of the medium, U is the overall velocity of an element of the surface: U --Uc + [f~ x r], where Uc is the velocity of the centre of mass of the body, II is the angular velocity of rotation of the body and r is the radius vector of the element with origin at the centre of mass. It was shown in [10] that for certain assumptions the stresses on the surface of the body when it moves in a gas and dense media such as soil and metals, are described by expressions (1.2). The term C1 in this case represents the resistance of the medium to deformation, while the coefficientA 1 is of the order of the density of the medium.…”

Section: Model Of the Force Action On The Bodymentioning

confidence: 99%

The three-dimensional motion of optimalpyramidal bodies

Yakunina¹

2005

Journal of Applied Mathematics and Mechanics

Self Cite

View full text Add to dashboard Cite

Section: Model Of the Force Action On The Bodymentioning

confidence: 99%

The three-dimensional motion of optimalpyramidal bodies

Yakunina¹

2005

Journal of Applied Mathematics and Mechanics

Self Cite

View full text Add to dashboard Cite

“…It is worth noting that in the current literature, some penetration problems for three-dimensional bodies of optimal shape are also present [9][10][11][12] and very recently Banichuk and Ivanova [13] obtained new results applying the Forrestal and Tzou model to pyramidal impactors.…”

Section: Introductionmentioning

confidence: 99%

Optimum Shape of High Speed Impactor for Concrete Targets Using PSOA Heuristic

Ragnedda¹,

Serra²

2010

ENG

View full text Add to dashboard Cite

The present paper deals with the optimum shape design of an absolutely rigid impactor which penetrates into a semi-infinite concrete shield. The objective function to maximize is the depth of penetration (DOP for short) of the impactor; in the case of impactors with axisymmetric shapes DOP is calculated using formulas obtained by with the method of local variations [4] and based on the mechanical model proposed by Forrestal and Tzou [5]. In the present paper we show that using a different class of admissible functions, more general than the axisymmetric one, better results can be obtained. To solve the formulated optimization problem we used a custom version of the particle swarm optimization method (briefly denoted by PSOA), a very recent numerical optimization algorithm of guided random global search. Numerical results show the optimal shape for various types of shields and corresponding DOP; some Ben-Dor et al. [1][2][3] results are compared to solutions obtained.

show abstract

On body shapes providing maximum depth of penetration

Баничук

Ragnedda

Serra

2008

Struct Multidisc Optim

View full text Add to dashboard Cite

The problem of maximization of the depth\ud of penetration of rigid impactor into semi-infinite solid\ud media (concrete shield) is investigated analytically and\ud numerically using two-stage model and experimen-\ud tal data of Forrestal and Tzou (Int J Solids Struct\ud 34(31–32):4127–4146, 1997). The shape of the axisym-\ud metric rigid impactor has been taken as an unknown\ud design variable. To solve the formulated optimization\ud problem for nonadditive functional, we expressed the\ud depth of penetration (DOP) under some isoperimetric\ud constraints. We apply approaches based on analyti-\ud cal and qualitative variational methods and numerical\ud optimization algorithm of global search. Basic atten-\ud tion for considered optimization problem was given\ud to constraints on the mass of penetrated bodies, ex-\ud pressed by the volume in the case of penetrated solid\ud body and by the surface area in the case of pene-\ud trated thin-walled rigid shell. As a result of performed\ud investigation, based on two-term and three-term two\ud stage models proposed by Forrestal et al. (Int J\ud Impact Eng 15(4):396–405, 1994), Forrestal and Tzou\ud (Int J Solids Struct 34(31–32):4127–4146, 1997) and\ud effectively developed by Ben-Dor et al. (Comp Struct\ud 56:243–248, 2002, Comput Struct 81(1):9–14, 2003a, In

show abstract

The shape of slender three-dimensional bodies with maximum depth of penetration into dense media

Cited by 17 publications

References 1 publication

The three-dimensional motion of optimalpyramidal bodies

The three-dimensional motion of optimalpyramidal bodies

Optimum Shape of High Speed Impactor for Concrete Targets Using PSOA Heuristic

On body shapes providing maximum depth of penetration

Contact Info

Product

Resources

About