Contact statement of mechanical problems of reinforced on a contour sandwich plates with transversally-soft core

I. B. Badriev1, M. V. Makarov2, В. Н. Паймушин2
1Kazan (Volga Region) Federal University, Kazan, Russia
2Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

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Bolotin, V. V., Novichkov, Yu. N. Mechanics of Multilayered Structures (Mashinostroenie, Moscow, 1980) [in Russian].

Badriev, I. B., Makarov, M. V., Paimushin, V. N. “Solvability of Physically and Geometrically Nonlinear Problem of the Theory of Sandwich Plates with Transversally-Soft Core”, RussianMathematics 59, No. 10, 57–60 (2015).

Badriev, I. B., Garipova, G. Z., Makarov, M. V., Paimushin, V. N., Khabibullin, R. F. “Solving Physically Nonlinear EquilibriumProblems for Sandwich Plates with a Transversally Soft Core”, Lobachevskii J.Math. 36, No. 4, 474–481 (2015).

Badriev, I. B., Makarov, M. V., Paimushin, V. N. “On the Interaction of Composite Plate Having a Vibration-Absorbing Covering with Incident AcousticWave”, RussianMathematics 59, No. 3, 66–71 (2015).

Badriev, I. B., Banderov, V. V., Makarov, M. V., Paimushin, V. N. “Determination of Stress-Strain State of Geometrically Nonlinear Sandwich Plate”, Appl.Math. Sci. 9, No. 77–80, 3887–3895 (2015).

Badriev, I. B., Banderov, V. V., Garipova, G. Z., Makarov, M. V., Shagidullin, R. R. “On the Solvability of Geometrically Nonlinear Problem of Sandwich Plate Theory”, Appl. Math. Sci. 9, No. 81–84, 4095–4102 (2015).

Galimov, K. Z. Foundations of the Nonlinear Theory of Thin Shells (Kazan Univ. Press, Kazan, 1975) [in Russian].

Paimushin, V. N. “Problems of Geometric Non-Linearity and Stability in the Mechanics of Thin Shells and Rectilinear Rods”, J. Appl.Math. Mech. 71, No. 5, 772–805 (2008).

Paimushin, V. N., Polyakova, N. V. “The Consistent Equations of the Theory of Plane Curvilinear Rods for Finite Displacements and Linearized Problems of Stability”, J. Appl. Math. Mech. 73, No. 2, 220–236 (2009).

Paimushin, V. N., Shalashilin, V. I. “A Noncontradictory Version of Deformations of Continua in a Quadratic Approximation”, Dokl.Phys. 49, No. 6, 374–377 (2004).

Paimushin, V. N., Shalashilin, V. I. “Correlations of Strain Theory inQuadratic Approximation and Problems on Constructing Refined Versions of GeometricallyNonlinear Theory of Laminated Construction Elements”, J. Appl.Math. Mech. 69, No. 5, 773–791 (2005).

Paimushin, V. N. “Contact Formulation of Non-Linear Problems in the Mechanics of Shells with Their End Sections Connected by a Plane Curvilinear Rod”, J. Appl.Math. Mech. 78, No. 1, 125–144 (2014).

Paimushin, V. N. “On Variational Methods for Solving Nonlinear Three-Dimensional Problems of Conjugation of Deformable Bodies”, Dokl. Akad. Nauk SSSR 273, No. 5, 1083–1086 (1983) [in Russian]