Similarity problems of the dynamic axisymmetric bending of nonlinearly elastic plates

A. A. Il'yushin, Plasticity [in Russian], Gostekhteorizdat, Moscow-Leningrd (1948).Google Scholar

V. V. Novozhilov, Theory of Elasticity [in Russian], Sudpromgiz, Leningrad (1958).Google Scholar

G. Cauderer, Nonlinear Mechanics [Russian translation], IL, Moscow (1961).Google Scholar

L. E. Sedov, Similarity and Dimensional Methods in Mechanics, Nauka, Moscow (1977).Google Scholar

L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).Google Scholar

L. G. Donnel, Beams, Plates, and Shells [in Russian], Nauka, Moscow (1982).Google Scholar

G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, New York (1967).Google Scholar

A. I. Lur'e, Operational Calculus and Its Application to Problems of Mechanics [in Rusaian], Gostekhizdat, Moscow-Leningrad (1951).Google Scholar

S. A. Zegzhda and M. I. Ulitin, “Comparison of vibrations of finite and infinite plates in transverse impact,” Prikl. Mekh., No. 2 (1975).Google Scholar

L. N. Aleshin, I. A. Prikhod'ko, and V. I. Sebekina, “Stress-strain state of an infinite elastic plate subjected to shock loading, in: Studies in the Theory and Methods of Structural Design [in Russian], TsNII Stroit. Konstruktsii, Moscow (1984).Google Scholar

S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York (1959).Google Scholar

V. P. Yastrebov, “Degenerate similarity solutions in dynamic problems of strain calculation in nonlinearly elastic bodies,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1988).Google Scholar