Allowing for rotations about the normal in nonlinear theories of shells

International Applied Mechanics

Volumn 40, Issue 6, 2004, Pages 694-701

  Semenyuk, N P ^a   Trach, V M ^b  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

^b NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING   (Ukraine)

Author keywords

Corrugated surface; Nonlinear theory of shells; Rotation about the normal; Stability

Indexed keywords

CORRUGATED SURFACES; NONLINEAR THEORY OF SHELLS; ROTATION ABOUT THE NORMAL;

CORRUGATED MATERIALS; ELASTICITY; LOADS (FORCES); ROTATION; SHELLS (STRUCTURES); TENSORS;

NONLINEAR SYSTEMS;

EID: 4544377644     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:INAM.0000041398.28447.45     Document Type: Article

References (17)

1. G. A. Vanin, N. P. Semenyuk, and R. F. Emel'yanov, Stability of Shells Made of Reinforced Materials [in Russian], Naukova Dumka, Kiev (1978).
2. V. Z. Vlasov, Selected Works [in Russian], Vol. 1, Izd. AN SSSR, Moscow (1962).
3. A. S. Vol'mir, Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).
4. É. I. Grigolyuk and V. V. Kabanov, Stability of Shells [in Russian], Nauka, Moscow (1978).
5. L. H. Donnel, Beams, Plates, and Shells, McGraw-Hill, New York (1976).
6. L. G. Komissarova, "Stability of a longitudinally corrugated cylindrical shell either nonreinforced or reinforced with frames," in: Proc. 4th All-Union Conf. on the Theory of Shells and Plates [in Russian], Nauka, Moscow (1963), pp. 563-571.
7. Kh. M. Mushtari and K. Z. Galimov, Nonlinear Theory of Elastic Shells [in Russian], Tatknigoizdat, Kazan (1957).
8. V. V. Novozhilov, Fundamentals of Nonlinear Elasticity Theory [in Russian], OGIZ-GITTL, Leningrad-Moscow (1948).
9. A. A. Podorozhnyi, "Data for compression and shear design of a corrugated shell," Tr. TsAGI, 520 (1940).
10. L. A. Shapovalov, "Sensitivity of the strains of a shell to rigid displacements and rotations in nonlinear theories," Mekh. Tverd. Tela, No. 1, 92-102 (1994).
11. I. Yu. Babich, N. B. Zhukova, and N. P. Semenyuk, "On the applicability of the relations of the cubic Timoshenko-type theory of shells to the study of the postcritical behavior of rods," Int. Appl. Mech., 37, No. 1, 99-106 (2001).
12. H. M. Berkovitz, "Comments on 'Strain-displacement relations in large displacement theory of shells' by C. H. Tsao," AIAA J., 3, No. 11, p. 2176 (1965).
13. J. L. Sanders, "Non-linear theories for thin shells," Quart. Appl. Math., 21, No. 1, 21-36 (1963).
14. N. P. Semenyuk and N. A. Neskhodovskaya, "Timoshenko-type theory in the stability analysis of corrugated cylindrical shells," Int. Appl. Mech., 38, No. 6, 723-730 (2002).
15. N. P. Semenyuk and N. A. Neskhodovskaya, "On design models in stability problems for corrugated cylindrical shells," Int. Appl. Mech., 38, No. 10, 1245-1252 (2002).
16. N. P. Semenyuk and V. V. Merzlyuk, "On accounting for the cubic terms in the equations of the nonlinear Timoshenko theory of plates," M. Appl. Mech., 38, No. 12, 1488-1495 (2002).
17. C. H. Tsao, "Strain-displacement relations in large displacement theory of shells," AIAA J., 2, No. 11, 2060-2062 (1964).