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Nowinski, J. L.; Shahinpoor, M.

Radial oscillations of a thick-walled spherical highly stressed nonhomogeneous shell. (English) Zbl 0299.73039

J. Franklin Inst. 291, 293-304 (1971).
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MSC:

74K25 Shells
74H99 Dynamical problems in solid mechanics
74B20 Nonlinear elasticity
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References:

[1] Green, A. E.; Zerna, W., Theoretical Elasticity (1954), Clarendon Press: Clarendon Press Oxford · Zbl 0056.18205
[2] Heng, Guo Zhong; Solecki, R., Free and forced finite-amplitude oscillations of an elastic thick-walled hollow sphere made of incompressible material, Arch. Mech. Stos., Vol. 15, 427-433 (1963) · Zbl 0151.39003
[3] Knowles, J. K.; Jakub, M. T., Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity, Arch. Rat. mech. Anal., Vol. 18, 367-378 (1965) · Zbl 0128.42101
[4] Wang, C. C., On the radial oscillations of a spherical thin shell in the finite elasticity theory, Q. appl. Math., Vol. 23, 270-274 (1965)
[5] Wesolowski, Z., Stability of a full elastic sphere uniformly loaded on the surface, Arch. mech. stos., Vol. 16, 1131-1150 (1964) · Zbl 0129.17605
[6] Wesolowski, Z., Stability of an elastic thick-walled spherical shell loaded by an external pressure, Arch. Mech. Stos., Vol. 19, 3-23 (1967) · Zbl 0152.43602
[7] Love, A. E.H., A Treatise on the Mathematical Theory of Elasticity (1944), Dover · Zbl 0063.03651
[8] Tomkovich, W. S., “Free Vibrations of Plates and Shells (in Russian) (1964), Nauk. Dumka: Nauk. Dumka Kiev
[9] Eringen, A. C., Nonlinear Theory of Continuous Media (1962), McGraw-Hill: McGraw-Hill New York
[10] Foster, H. O., Very large deformations of axially symmetrical membranes made of neo-Hookean material, Int. J. Engng. Sci., Vol. 5, 95 (1967)
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