On some exponential decay estimates for porous elastic cylinders

Archives of Mechanics

Volumn 56, Issue 3, 2004, Pages 233-246

  Chirita S ^a  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24944564381     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. J. N. Flavin, R. J. Knops and L. E. Payne, Decay estimates for the constrained elastic cylinder of variable cross section, Quart. Appl. Math., 47, 325-350, 1989.
2. S. Chiriţǎ, Further results on the spatial behavior in linear elastodynamics, An. St. Univ. Iaşi, Matematicǎ (to appear).
3. C. O. Horgan and J. K. Knowles, Recent developments concerning Saint - Venant's principle, [in:] T. Y. Wu and J. W. Hutchinson [Eds.], Adv. Appl. Mech., 23, 179-269, Academic Press, New York 1983.
4. C. O. Horgan, Recent developments concerning Saint - Venant's principle: An update, Appl. Mech. Rev., 42, 295-303, 1989.
5. C. O. Horgan, Recent developments concerning Saint - Venant's principle: A second update, Appl. Mech. Rev., 49, S101-S111, 1996.
6. R. Lakes, Foam structures with a negative Poisson's ratio, Science, 235, 1038-1040, 1987.
7. B. D. Caddock and K. E. Evans, Microporous materials with negative Poisson's ratios: I. Microstructure and mechanical properties; II. Mechanisms and interpretation, Journal of Physics D: Applied Physics, 22, 1877-1882, 1883-1887, 1989.
8. T. Lee and R. S. Lakes, Anisotropic polyurethane foam with Poisson's ratio greater than 1, Journal of Materials Science, 32, 2397-2401, 1997.
9. Y. C. Wang and R. S. Lakes, Analytical parametric analysis of the contact problem of human buttocks and negative Poisson's ratio foam cushions, International Journal of Solids and Structures, 39, 4825-4838, 2002.
10. R. S. Lakes, Saint Venant end effects for materials with negative Poisson's ratios, Journal of Applied Mechanics, 59, 744-746, 1992.
11. S. C. Cowin and J. W. Nunziato, Linear elastic materials with voids, Journal of Elasticity, 13, 125-147, 1983.
12. S. Chiriţǎ, Some growth and decay estimates for a cylinder made of an elastic material with voids, Rev. Roum. Math. Pures et Appl., 39, 17-26, 1994.
13. D. Ieşan and R. Quintanilla, Decay estimates and energy bounds for porous elastic cylinders, Z. Angew. Math. Phys. (ZAMP), 46, 268-281, 1995.
14. J. W. Nunziato and S. C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal., 72, 175-201, 1979.
15. M. Ciarletta and D. Ieşan, Non-classical elastic solids, Pitman Res. Notes Math. Series, Longman Scientific & Technical, 293, 1993.