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Online ISSN 1552-4485; Print ISSN 0033-569X
The equations of the technical theory of shells with the effect of transverse shear deformation
Author:
Stanislaw A. Lukasiewicz
Journal:
Quart. Appl. Math. 28 (1971), 489-497
DOI:
https://doi.org/10.1090/qam/99774
MathSciNet review:
QAM99774
Full-text PDF Free Access
References | Additional Information
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L. H. Donnell, Stability of thin-walled tubes under torsion, NACA Report #479, 1933
M. Musthari, Some generalizations of the theory of thin shells, Izv. Fiz. Mat. O. Va. Kazan. Univ. (8) 11 (1938)
K. Marguerre, Zur Theorie der gekrummten Platte grosser Formanderung, Proc. Fifth Internat. Congress Applied Mechanics Cambridge, Mass., 1938, pp. 93–101
- V. Z. Vlasov, Obščaya teoriya oboloček i eë priloženiya v tehnike, Gosudarstvennoe Izdatel′stvo Tehniko-Teoretičeskoĭ Literatury, Moscow-Leningrad,], 1949 (Russian). MR 0034685 S. Łukasiewicz, Supplement to the technical theory of shells, Rozprawy Inż. 11, (1963)
- F. B. Hildebrand, E. Reissner, and G. B. Thomas, Notes on the foundations of the theory of small displacements of orthotropic shells, Tech. Notes Nat. Adv. Comm. Aeronaut. 1949 (1949), no. 1833, 59. MR 0030886
- A. E. Green and W. Zerna, Theoretical elasticity, Oxford, at the Clarendon Press, 1954. MR 0064598
- Eric Reissner, Stress strain relations in the theory of thin elastic shells, J. Math. Physics 31 (1952), 109–119. MR 0048283 E. Reissner, Proc. Amer. Soc. Civ. Eng. EM 23, 1962
- P. M. Naghdi, Note on the equations of shallow elastic shells, Quart. Appl. Math. 14 (1956), 331–333. MR 87336, DOI https://doi.org/10.1090/S0033-569X-1956-87336-4
- P. M. Naghdi, On the theory of thin elastic shells, Quart. Appl. Math. 14 (1957), 369–380. MR 84284, DOI https://doi.org/10.1090/S0033-569X-1957-84284-7 J. P. Wilkinson and A. Kalnins, On nonsymmetric dynamic problems of elastic spherical shells, J. Appl. Mech. 32, 525 (1965) J. P. Wilkinson and A. Kalnins, Deformation of open spherical shells under arbitrarily located concentrated loads, J. Appl. Mech. 33, 305–312 (1966)
- L. S. D. Morley, An improvement on Donnell’s approximation for thin-walled circular cylinders, Quart. J. Mech. Appl. Math. 12 (1959), 89–99. MR 101675, DOI https://doi.org/10.1093/qjmam/12.1.89 S. Łukasiewicz, The equations of the theory of non-shallow thin shells, Arch Bud. Masz. 12 (1965) S. Łukasiewicz, On the technical theory of non-shallow shells, Arch. Bud. Masz. 15 (1968)
Additional Information
Article copyright:
© Copyright 1971
American Mathematical Society