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Investigation of changes in the spherical shell shape under the action of pulsed loading due to contact interaction with a rigid block. (English. Russian original) Zbl 1381.74139

J. Appl. Mech. Tech. Phys. 56, No. 6, 966-971 (2015); translation from Prikl. Mekh. Tekh. Fiz. 56, No. 6, 38-45 (2015).
Summary: An axisymmetric problem of high strains in a spherical lead shell enclosed into an aluminum “spacesuit” under the action of pulsed loading is considered. The shell straining is described with the use of equations of mechanics of elastoviscoplastic media in Lagrangian variables, and the kinematic relations are determined in the current state metrics. Equations of state are taken in the form of equations of the flow theory with isotropic hardening. The problem is solved numerically by using the variational difference method and the “cross” explicit scheme of integration with respect to time. The influence of the yield stress as a function of the strain rate on changes in the shell shape is studied for different values of loading. The calculated final shape and residual strains are demonstrated to be in good agreement with experimental data.

MSC:

74K25 Shells
74M15 Contact in solid mechanics
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References:

[1] E. I. Grigolyuk and V. I. Mamai, Mechanics of Spherical Shell Deformation (Izd. Mosk. Gos. Univ., Moscow, 1983) [in Russian].
[2] V. S. Gudramovich, Stability of Elastoplastic Shells (Naukova Dumka, Kiev, 1987) [in Russian].
[3] V. G. Bazhenov, E. G. Gonik, A. I. Kibets, and D. V. Shoshin, “Stability and Limit States of Elastoplastic Spherical Shells under Static and Dynamic Loading,” Prikl. Mekh. Tekh. Fiz. 55 (1), 13-22 (2014) [J. Appl. Mech. Tech. Phys. 55 (1), 8-15 (2014)].
[4] V. G. Bazhenov, A. A. Artem’eva, E. G. Gonik, et al., “Finite Element Simulation of Elastoplastic Buckling of Non-Closed Spherical Shells under Compression,” in Problems of Strength and Plasticity (Nizhgor. Gos. Univ., Nizhny Novgorod), 2012, No. 74, pp. 84-91.
[5] A. N. Kinkead, A. Jennings, J. Newell, et al., “Spherical Shells in Inelastic Collision with a Rigid Wall Tentative Analysis and Recent Quasi-Static Testing,” J. Strain Anal. 29, 7-41 (1994). · doi:10.1243/03093247V291017
[6] M. Shariati and H. R. Allahbakhsh, “Numerical and Experimental Investigations on the Buckling of Steel Semi-Spherical Shells under Various Loadings,” Thin-Walled Structures 48 (8), 620-628 (2010). · doi:10.1016/j.tws.2010.03.002
[7] N. K. Gupta and K. S. Venkatesh, “Experimental and Numerical Studies of Dynamic Axial Compression of Thin Walled Spherical Shells,” Int. J. Impact Eng. 30, 1225-1240 (2004). · doi:10.1016/j.ijimpeng.2004.03.009
[8] S. N. Korobeinikov, Nonlinear Deformation of Solids (Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2000) [in Russian].
[9] D. A. Kazakov, S. A. Kapustin, and Yu. G. Korotkikh, Simulation of Deformation and Destruction of Materials and Structures (Nizhegor. Gos. Univ., Nizhnii Novgorod, 1999) [in Russian].
[10] B. D. Annin and S. N. Korobeinikov, “Admissible Forms of Elastic Straining Laws in Constitutive Relations of Elastoplasticity,” Sib. Zh. Industr. Mat. 1 (1), 21-34 (1998).
[11] V. G. Bazhenov and D. T. Chekmarev, Solving Problems of Unsteady Dynamics of Plates and Shells by the Variational Difference Method (Nizhegor. Gos. Univ., Nizhnii Novgorod, 2000) [in Russian].
[12] Ivanov, I. G.; Novikov, S. A., Deformation of Spherical Lead Shells under the Action of Intense Mechanical Loading, 216-221 (2003)
[13] S. A. Novikov, V. A. Sinitsyn, and A. P. Pogorelov, “Calculation of an Explosive Loading Device for Generating a Pressure Pulse with Prescribed Parameters,” Fiz. Goreniya Vzryva 16 (6), 111-113 (1980).
[14] V. G. Bazhenov, M. S. Baranova, D. V. Zhegalov, et al., “Construction of Dynamic Diagrams of Straining of Lead Parts by the Method of the Direct Impact on a Gas-Dynamic Pile Driver,” Vestn. Mashinostr., No. 2, 11-14 (2013).
[15] I. V. Kragel’skii and I. V. Vinogradov, Friction Coefficients: Reference Book (Mashgiz, Moscow, 1955) [in Russian].
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