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IssuesArchive of Issues2015-6pp.698-703

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N.V. Banichuk, S.Yu. Ivanova, and E.V. Makeev, "On the Stress State of Shells Penetrating into a Deformable Solid," Mech. Solids. 50 (6), 698-703 (2015)
Year 2015 Volume 50 Number 6 Pages 698-703
DOI 10.3103/S0025654415060102
Title On the Stress State of Shells Penetrating into a Deformable Solid
Author(s) N.V. Banichuk (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, banichuk@ipmnet.ru)
S.Yu. Ivanova (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, ivanova@ipmnet.ru)
E.V. Makeev (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, makeevev@yandex.ru)
Abstract The motion of an axisymmetric shell in a deformable solid medium is considered. It is assumed that the medium resistance is described by a two-term expression containing a constant term (the rigidity characteristic) and an inertial term quadratic with respect to the penetration velocity. A model of the impactor penetration with the normal interactions with the resisting medium taken into account is proposed. The membrane forces and the arising stresses are determined for decelerated motions of the impactor.
Keywords axisymmetric shell, high-speed penetration, membrane forces and stresses
References
1.  E. M. Backman and W. Goldsmith, "The Mechanics of Penetration of Projectiles into Targets," Int. Engng Sci. 16 (1), 1-99 (1978).
2.  W. Goldsmith, "Non-Ideal Projectile Impact on Targets, Int. J. Impact Engng 22 (2-3), 95-395 (1999).
3.  Yu. K. Bivin, Penetration, Punching, Ricochet (LAP LAMBERT Academic Publishing, Saarbrucken, 2012).
4.  G. Ben-Dor, A. Dubinsky, and T. Eiperin, Applied High-Speed Penetration Dynamics (Springer, Dordrecht, The Netherlands, 2006).
5.  N. V. Banichuk and S. Yu. Ivanova, "Shape Optimization of Rigid Bodies Penetrating into Continuum," in Problems of Strength and Plasticity, Collection of Papers of Higher Education Institutions, No. 69 (Nizhnii Novgorod Univ., 2007), pp. 47-58 [in Russian].
6.  N. V. Banichuk and S. Yu. Ivanova, "Shape Optimization of Rigid 3D High-Speed Impactor Penetrating into Concrete Shields," Mech. Based Des. Struct. Machines 36 (3), 249-259 (2008).
7.  N. V. Banichuk, F. Ragnedda, and M. Serra, "On Body Shapes Providing Maximum Depth of Penetration," Struct. Multidisc. Optim. 38 (3), 491-498 (2009).
8.  N. V. Banichuk, S. Yu. Ivanova, F. Ragnedda, and M. Serra, "Multiobjective Shape Optimization of the Rigid Shell Moving into a Condensed Medium," Mech. Based Des. Struct. Machines 40 (1), 73-82 (2012).
9.  N. V. Banichuk, S. Yu. Ivanova, and E. V. Makeev, "Penetration of Rigid Impactors into Layered Plates and Several Problems of Global Multipurpose Structure Optimization," in Problems of Strength and Plasticity, Collection of Papers of Higher Education Institutions, No. 74 (Nizhnii Novgorod Univ., 2012), pp. 124-133 [in Russian].
10.  N. V. Banichuk, S. Yu. Ivanova, E. V. Makeev, and A. I. Turut'ko, "Several Analytic and Numerical Estimates of Optimal Structure of Safety Plate," in Problems of Strength and Plasticity, Collection of Papers of Higher Education Institutions, No. 75 (3) (Nizhnii Novgorod Univ., 2013), pp. 169-177 [in Russian].
11.  R. V. Goldstein, "Several Problems of Fracture Mechanics of Large-Size Structures," in Fracture Mechanics. Structure Failure (Mir, Moscow, 1980), pp. 228-255 [in Russian].
12.  M. J. Forrestal and D. Y. Tzou, "A Spherical Cavity-Expansion Penetration Model for Concrete Targets," Int. J. Solids Struct. 34 (31-32), 4127-4146 (1997).
13.  S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959, Nauka, Moscow, 1966).
14.  W. Flugge, Stresses in Shells, 2nd ed. (Springer-Verlag, Berlin, 1973).
Received 02 March 2015
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