Analysis of Impact Deformation of Corrugated and Anisotropic Shells
The existence of material anisotropy (at E2/E1<1) in the shells subjected to impact loaying lowers the critical time and leads to axi-symmetric forms buckling. The data of experiments performed on the longitudinally corrugated shells connfirm the theoretical results obtained.
S. G. LECHNICKI, Anisotropic plates, Gos. Tech. Izdat., Moscow, 1947 [in Russian].
M. T. HUBER, Theory of elasticity, PWN, Warsaw, 1950 (in Polish).
A. SAWCZUK, Some problems of load carrying capacities of orthotropic and nonhomogeneous plates, Arch. Mech. Stos., 8, 4, 1956.
A. SAWCZUK, Linear theory of plasticity of anisotropic bodies, Arch. Mech. Stos., 11, 5, 1959.
S.A. AMBARTSUMIAN, Theory of anisotropic shells, Fiz. Mat. Giz, Moscow, 1961 [in Russian].
S.A. AMBARTSUMIAN, Theory of anisotropic plates, Nauka, Moscow, 1967 [in Russian].
V.V. BOLOTIN, On the theory of reinforced media, Mechanics, 1, 1965 [in Russian].
V.V. BOLOTIN, Basic equations of the theory of reinforced media, Mechanics of Polymers, 2, 1965 [in Russian].
V.V. BOLOTIN and V.N. MOSKALENKO, Plates and shells made of reinforced materials – basic equations, quantitative results, Collection of lectures of the Scientific-Technological Conference
on the Results of Scientific Investigations in 1966-1967, MEI, Moscow, 1967 [in Russian].
D.L. PLATUS, and S. UCHIGAMA, Very large deflection behaviour of corrugated strips, AIAA Journal, 3, 8, 1965.
A.K. KALLINIS, On the refinement of the equation of motion for thermoelastic orthotropic shells, "Investigations on the theory of plates and shells", 8, Kazan, 1972 [in Russian].
L.N. SMETANINA, Nonlinear problems of dynamic stability of orthotropic shell under external transverse pressure, Collection of Ph. D. Theses of the Voronezh Forestial Technological Institute, 2, 1965 [in Russian].
A.A. BUSHTYRKOV, and A.A. NAIDA, Dynamic behaviour of thin-walled cylindrical shells made of anisotropic elastic materials under transient external pressure, Theses of Lectures on the 4-th National Conference on the Problems of Stability and Structural Mechanics (Kharkov 1972), Moscow 1972 [in Russian].
A.A. NAIDA and V.K. OVCHINNIKOV, Response of plastic-glass cylindrical shell to the action of the explosive load, Appl. Mechanics, 12, 8, 1972 [in Russian].
L.A. MOVSISIAN, Longitadinal impact on the cylindrical shell, Izv. A. N. Arm. SSR, 17, 6, 1964 [in Russian].
L. A. MOVSISIAN, Stability of cylindrical shells under impact loading. Theses of Lectures on the 4-th National Conference on the Problems of Stability and Structural Mechanics (Kharkoy 1972), Moscow 1972 [in Russian].
V.C. GRUNIN and L.A. MOVSISIAN, Longitudinal impact of the anisotropic semi-infinite cylindrical shell of revolution on the rigid wall, "Transient Processes of Deformation of Shells and Plates". Tallin 1967 [in Russian].
V.L. AGAMIROV and L.N. SMETANINA, Experimental investigation of stability of cylindrical shells under longitudinal impact, Theses of Lectures of 5-th National Conference on Theory of Plates and Shells, Moscow 1965 [in Russian].
B.A. GORDIENKO and L.D. SHEVCHYK, Behaviour of corrugated shells in conditions of impulsive loading, Thesee of Lectures on the 4-th National Conference on the Problems of Stability and
Structural Mechanics (Kharkov 1972), Moscow 1972 [in Russina].
U.K. NIGUL and J.K. ENGELBRECHT, Nonlinear und linear transient wave processes of deformation of thermoelastic and elastic bodies, Tallin 1972 [in Russian].
B.A. GORDIENKO, On the numerical solution of the impact buckling problems of elastic systems by the method of finite differences, Mechanics of Solids, Izv. AN SSSR, 3, 1970 [in Russian].
B.A. GORDIENKO, Behaviour of cylindrical shells under axial impact, Collected Works of Chabarovsk Politechnical Institute, Ed. 25, Chabarovsk 1971 [in Russian].
B.A. GORDIENKO, Impact buckling of elastic systems, Mechanics of Solids, 4, Izv. AN SSSR, 1974 [in Russian].