The intrinsic theory of thin shells and plates. I. General theory
Author:
Wei-Zang Chien
Journal:
Quart. Appl. Math. 1 (1944), 297-327
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/9744
MathSciNet review:
9744
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A. E. H. Love, A treatise on the mathematical theory of elasticity, Cambridge, 1927.
S. Timoshenko, Theory of plates and shells, McGraw-Hill, 1940.
W. Flügge, Statik und Dynamik der Schalen, Springer, 1934. (A complete list of literature up to 1933 can be found in the end of this book.)
- Eric Reissner, A new derivation of the equations for the deformation of elastic shells, Amer. J. Math. 63 (1941), 177–184. MR 3790, DOI https://doi.org/10.2307/2371288
- J. L. Synge and W. Z. Chien, The intrinsic theory of elastic shells and plates, Theodore von Kármán Anniversary Volume, University of California Press, Berkeley, Calif., 1941, pp. 103–120. MR 0004596
A. J. MacConnell, Applications of the absolute differential calculus, Blackie, 1931.
L. Brillouin, Les tenseurs en mécanique et en élasticité, Paris, 1928.
F. D. Murnaghan, Finite deformations of an elastic solid, Amer. J. Math., 59, 235–260 (1937).
A. E. H. Love, A treatise on the mathematical theory of elasticity, Cambridge, 1927.
S. Timoshenko, Theory of plates and shells, McGraw-Hill, 1940.
W. Flügge, Statik und Dynamik der Schalen, Springer, 1934. (A complete list of literature up to 1933 can be found in the end of this book.)
E. Reissner, A new derivation of the equations for the deformation of elastic shells, Amer. J. Math. 63, 177–184 (1941).
J. L. Synge and W. Z. Chien, The intrinsic theory of elastic shells and plates, Applied Mechanics, Theodore von Kármán Anniversary Volume (1941), pp. 103–120.
A. J. MacConnell, Applications of the absolute differential calculus, Blackie, 1931.
L. Brillouin, Les tenseurs en mécanique et en élasticité, Paris, 1928.
F. D. Murnaghan, Finite deformations of an elastic solid, Amer. J. Math., 59, 235–260 (1937).
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Article copyright:
© Copyright 1944
American Mathematical Society
