Second-order effects in the torsion of elastic materials with voids

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 85, Issue 5, 2005, Pages 351-365

  Iesan D ^a  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

Author keywords

Porous elastic solids; Second order approximation; Torsion problem; Uniformly loaded cylinders

Indexed keywords

EID: 18744412365     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200310181     Document Type: Article

References (22)

1. M. A. Goodman and S. C. Cowin, Arch. Ration. Mech. Anal. 44, 249-266 (1972).
2. J. W. Nunziato and S. C. Cowin, Arch. Ration. Mech. Anal. 72, 175-201 (1979).
3. S.L. Passman, Int. J. Eng. Sci. 15, 117-129 (1977).
4. J.W. Nunziato and E.K. Walsh, Arch. Ration. Mech. Anal. 73, 285-301 (1980).
5. G. Capriz and P. Podio-Guidugli, Arch. Ration. Mech. Anal. 75, 269-279 (1981).
6. S. C. Cowin and J.W. Nunziato, J. Elast. 13, 125-147 (1983).
7. R. C. Batra and J. S. Yang, J. Elast. 39, 265-271 (1995).
8. M. Ciarletta and D. IeŞan, Non-classical elastic solids, in: Pitman Research Notes in Mathematics Series (Longman Scientific and Technical, Harlow, 1993).
9. R. S. Rivlin, J. Ration. Mech. Anal. 2, 53-81 (1953).
10. A.E. Green, Proc. Camb. Philos. Soc. 50, 488-490 (1954).
11. A.E. Green and E.W. Wilkes, Q. J. Mech. Appl. Math. 6, 240-249 (1953).
12. A.E. Green and J.E. Adkins, Large Elastic Deformations, 2nd ed. (Clarendon Press, Oxford, 1970).
13. C. Truesdell and W. Noll, The non-linear field theories of mechanics, in: Vol. III/3 of the Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, Heidelberg, New York, 1965).
14. R.T. Shield, J. Appl. Mech. 47, 75-81 (1980).
15. D.A. Polignone and C.O. Horgan, Q. Appl. Math. 49, 591-607 (1991).
16. G. Grioli, St. Venant's theory of the equilibrium of a cylindrical elastic body and exact solutions, in: II Problema di de Saint-Venant: Aspetti Teorici e Applicativi, Atti dei Convegni Lincei 140 (Accademia Nazionale dei Lincei, Roma, 1998), pp. 65-76.
17. F. Stoppelli, Ric. Mat. 3, 247-267 (1954).
18. F. Stoppelli, Ric. Mat. 4, 58-73 (1955).
19. G. Capriz and P. Podio Guidugli, Arch. Ration. Mech. Anal. 57, 1-30 (1974).
20. J. E.Marsden and T. J. R.Hughes, Mathematical Foundation of Elasticity (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1983).
21. G. Fichera, Existence theorems in elasticity, in: Vol. VIa/2 of the Handbuch der Physik, edited by C. Truesdell (Springer-Verlag, Berlin, Heidelberg, New York, 1972).
22. D. Ieşan, Saint-Venant's Problem, Lecture Notes in Mathematics, Vol. 1279 (Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1987).