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Determination of the state of stress and strain of multiconnected transtropic plates. (English. Russian original) Zbl 0337.73048

J. Appl. Math. Mech. 39, 873-881 (1975); translation from Prikl. Mat. Mekh. 39, 909-917 (1975).

MSC:

74K20 Plates
Full Text: DOI

References:

[1] Romenskaia, G. I.; Shlenev, M. A., Asymptotic method of solving elasticity theory problems of thick transversely isotropic slabs, (Plates and Shells (1971), Trudy of Young Scientists: Trudy of Young Scientists Rostov-on-Don)
[2] Romenskaia, G. I.; Shlenev, M. A., On a method of solving boundary value problems of the theory of thick transversely isotropic slabs, (Theory of Plates and Shells (1972)), Rostov-on-Don
[3] Lur’e, A. I., On the theory of thick slabs, PMM, Vol. 6 (1942), N≗2 N≗3
[4] Lekhnitskii, S. G., Elastic equilibrium of a transversely isotropic layer and a thick plate, PMM, Vol. 26, N≗4 (1962) · Zbl 0129.18503
[5] Aksentian, O. K.; Vorovich, I. I., State of stress of a plate of small thickness, PMM, Vol. 27, N≗6 (1963) · Zbl 0146.22002
[6] Vorovich, I. I.; Malkina, O. S., State of stress of a thick slab, PMM, Vol. 31, N≗2 (1967) · Zbl 0153.56102
[7] Bazarenko, N. A.; Vorovich, I. I., Asymptotic behavior of the solution of an elasticity theory problem for a finite hollow cylinder of small thickness, PMM, Vol. 29, N≗6 (1965) · Zbl 0149.22602
[8] Vilenskaia, G. V.; Vorovich, I. I., Asymptotic behavior of the solution of an elasticity theory problem for a small thickness spherical shell, PMM, Vol. 30, N≗2 (1966)
[9] Kosmodamianskii, A. S.; Shaldyrvan, V. A., Stress concentration in a thick slab with two circular holes, Prikl. Mekh., Vol. 6, N≗10 (1970)
[10] Kosmodamianskii, A. S.; Shaldyrvan, V. A., State of stress of a thick multiconnected plate, (Theory of Shells and Plates (1973), Nauka: Nauka Moscow)
[11] Kosmodamianskii, A. S.; Shaldyrvan, V. A., Periodic problem for a thick plate with circular cyclindrical cavities, Prikl. Mekh., Vol. 10, N≗1 (1974)
[12] Kosmodamianskii, A. S.; Shaldyrvan, G. G., Bending of a thick slab weakened by a cavity, Prikl. Mekh., Vol. 10, N≗5 (1974)
[13] Ashkenadzi, E. K.; Ganov, E. V., (Anisotropy of Structural Materials (Handbook) (1972), Mashinostroenie: Mashinostroenie Leningrad)
[14] Mason, W., Piezoelectric Crystals and Their Application in Ultraacoustics (1952), Izd. Inostr. Lit: Izd. Inostr. Lit Moscow, (Russian translation)
[15] Nye, G., Physical Properties of Crystals and Their Description by Using Tensors (1967), Mir: Mir Moscow, (Russian translation)
[16] Lekhnitskii, S. G., Theory of Elasticity of an Anisotropie Body (1950), Gostekhizdat: Gostekhizdat Moscow-Leningrad · Zbl 0119.19004
[17] Agalovian, L. A., On the boundary layer of orthotropic plates, (Mekhanika, Vol. 26 (1973), Izv. Akad. Nauk ArmSSR), N≗2
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