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Online ISSN 1552-4485; Print ISSN 0033-569X
Large amplitude oscillations of a tube of incompressible elastic material
Author:
James K. Knowles
Journal:
Quart. Appl. Math. 18 (1960), 71-77
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/112336
MathSciNet review:
112336
Full-text PDF Free Access
References | Similar Articles | Additional Information
- A. E. Green and W. Zerna, Theoretical elasticity, Oxford, at the Clarendon Press, 1954. MR 0064598
- C. Truesdell, The mechanical foundations of elasticity and fluid dynamics, J. Rational Mech. Anal. 1 (1952), 125–171, 173–300. MR 46838, DOI https://doi.org/10.1512/iumj.1952.1.51005
- R. S. Rivlin, Large elastic deformations of isotropic materials. VI. Further results in the theory of torsion, shear and flexure, Philos. Trans. Roy. Soc. London Ser. A 242 (1949), 173–195. MR 34680, DOI https://doi.org/10.1098/rsta.1949.0009
- A. E. Green and R. T. Shield, Finite elastic deformation of incompressible isotropic bodies, Proc. Roy. Soc. London Ser. A 202 (1950), 407–419. MR 37151, DOI https://doi.org/10.1098/rspa.1950.0109
- J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. MR 0034932 R. S. Rivlin and D. W. Saunders, Large elastic deformation of isotropic materials VII. Experiments on the deformation of rubber. Phil. Trans. Roy. Soc. London (A) 243, 251-288 (1951)
- J. L. Ericksen, On the propagation of waves in isotropic incompressible perfectly elastic materials, J. Rational Mech. Anal. 2 (1953), 329–337. MR 55928, DOI https://doi.org/10.1512/iumj.1953.2.52018
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Article copyright:
© Copyright 1960
American Mathematical Society