Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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
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  • [1] A. E. Green and W. Zerna, Theoretical elasticity, Clarendon Press, Oxford, 1954 MR 0064598
  • [2] C. Truesdell, The mechanical foundations of elasticity and fluid dynamics, J. Rati. Mech. Anal. 1, 125-300 (1952) MR 0046838
  • [3] R. S. Rivlin, Large elastic deformation of isotropic materials VI. Further results in the theory of torsion, shear and flexure. Phil. Trans. Roy. Soc. London (A) 242, 173-195 (1949) MR 0034680
  • [4] A. E. Green and R. T. Shield, Finite elastic deformation of incompressible isotropic bodies Proc. Roy. Soc. London (A) 202, 407-419 (1950) MR 0037151
  • [5] J. J. Stoker, Non linear vibrations, Interscience Publishers, New York, 1950 MR 0034932
  • [6] 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)
  • [7] J. L. Ericksen, On the propagation of waves in isotropic incompressible perfectly elastic materials, J. Rati. Mech. Anal. 2, 329-337 (1953) MR 0055928

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DOI: https://doi.org/10.1090/qam/112336
Article copyright: © Copyright 1960 American Mathematical Society

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