Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-26T23:23:42.896Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite extension inflation and torsion of a hollow cylindrical reinforced dielectric

Published online by Cambridge University Press:  24 October 2008

H. R. Chaudhry
H. R. Chaudhry
Affiliation:
Department of Applied Sciences, Punjab Engineering College, Chandigarh, India
Get access Rights & Permissions [Opens in a new window]

Abstract

Eringen's theory(1) of homogeneous, isotropic, hyperelastic dielectric is applied to consider the effects of polarization on the surface tractions when a hollow cylindrical reinforced dielectric carrying a uniform surface charge at its inner surface is subjected to simultaneous large extension, inflation and torsion. New effects due to reinforcement and polarization have been observed separately. For vanishing charge, the results reduce to those of classical finite strain theory (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 1 , January 1968 , pp. 215 - 226
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Eringen, A. C.Internat. J. Engng Sci. 1 (1963), 127–153.CrossRefGoogle Scholar
(2)Adkins, J. E. and Rivlin, R. S.Philos. Trans. Roy. Soc. London Ser. A 248 (1955), 201.Google Scholar
(3)Green, A. E. and Zerna, W.Theoretical elasticity (Oxford University Press; London, 1954).Google Scholar
(4)Eringen, A. C.Non-linear theory of continuous media (McGraw-Hill; New York, 1962).Google Scholar
(5)Green, A. E. and Adkins, J. E.Large elastic deformation (Oxford University Press, 1960).Google Scholar
(6)Rivlin, R. S.Philos. Trans. Roy. Soc. London, Ser. A 242 (1949), 173.Google Scholar
(7)Adkins, J. E.J. Rational Mech. Anal. 5 (1956), 189.Google Scholar
(8)Adkins, J. E.Philos. Trans. Roy. Soc. London Ser. A 249 (1956), 125.Google Scholar
(9)Adkins, J. E.Quart. J. Mech. Appl. Math. 11 (1958), 88.CrossRefGoogle Scholar
(10)Rivlin, R. S.J. Rational Mech. Anal. 4 (1955), 951.Google Scholar
(11)Rivlin, R. S.Arch. Rational Mech. Anal. 2 (1959), 447.CrossRefGoogle Scholar
(12)Verma, P. D. S.Internat. J. Engng Sci. 2 (1964), 21–26.CrossRefGoogle Scholar
(13)Verma, P. D. S. and Chaudhry, H. R.Internat. J. Engng Sci. 4 (1966), 235–247.CrossRefGoogle Scholar