Spatial estimates concerning the harmonic vibrations in rectangular plates with voids

Archives of Mechanics

Volumn 60, Issue 3, 2008, Pages 263-279

  Ghiba, I Dumitrel ^a  

^a ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

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[No Author keywords available]

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EID: 47349090632     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. J.W. NUNZIATO and S.C. COWIN, A non-linear theory of elastic materials with voids, Arch. Rational Mech. Anal., 72, 175-201, 1979.
2. M.A. GOODMAN and S.C. COWIN, A continuum theory for granular materials, Arch. Rational Mech, Anal., 44, 249-266, 1972.
3. S.C. COWIN and J.W. NUNZIATO, Linear elastic materials with voids, J. Elasticity, 13, 125-147, 1983.
4. D. IEŞAN, A theory of thermoelastic materials with voids, Acta Mechanica, 60, 67-89, 1986.
5. D. IE_csSAN and M. CIARLETTA, Non-classical elastic solids, Longman Scientific and Technical, Harlow, Essex, UK and John Wiley & Sons, Inc., New York 1993.
6. D. IEŞAN, Thermoelastic models of continua, Kluwer Academic Publishers, Boston/Dordrecht/London 2004.
7. R.D. MINDLIN, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. Appl. Mech., 18, 31-38, 1951.
8. E. REISSNER, On the theory of bending of elastic plates, J. Math. Phys., 23, 184-191, 1944.
9. C. CONSTANDA, A mathematical analysis of bending of plates with transverse shear deformation, Langman Scientific& Technical, 1990.
10. P. SCHIAVONE and C. CONSTANDA, Oscillation problems in thin plates with transverse shear deformation, SIAM J. Appl. Math., 53, 5, 1253-1263, 1993.
11. P. SCHIAVONE and R.J. TAIT, Steady time-harmonic oscillations in a linear thermoelastic plate model, Quart. Appl. Math., LIII, 215-223, 1995.
12. M. CIARLETTA, On the spatial behaviour of the transient and steady-state solutions in thin plates with transverse shear deformation, Int. J. Engn. Sci., 40, 485-498, 2002.
13. C. D'APICE and S. CHIRIŢǍ, Spatial behaviour in a Mindlin-type thermoelastic plate, Quarterly of Applied Mathematics, 61, 783-796, 2003.
14. C. D'APICE, A mathematical study of the spatial behaviour of the time-harmonic ascillations in a thermoelastic rectangular plate, An. Şt. Univ. Al. I. Cuza Iaşi, ser. Matematica, 51, 9-23, 2005.
15. E. SCARPETTA, Minimum principle for the bending problem of elastic plates with voids, Int. J. Engn. Sci., 40, 1317-1327, 2002.
16. M. BIRSAN, A bending theory of porous thermoelastic plates, Journal of Thermal Stresses, 26, 67-90, 2003.
17. M. BIRSAN, On the bending equations for elastic plates with voids, Math. Mech. Solids, 12, 40-57, 2007.
18. M. BIRSAN, Transient and steady-state solutions for porous thermoelastic plates, An. Şt. Univ A.I. Cuza Iasi, ser. Matematica, 52, 159-176, 2006.
19. S. CHIRIŢǍ and M. CIARLETTA, Time-weighted surface power function method for the study of spatial behaviour in dynamics of continua, European Journal of Mechanics, A /Solids, 18, 915-933, 1999.
20. S. CHIRIŢǍ, Further results on the spatial behavior in linear elastodynamics, An. Şt. Univ. Iasi, ser. Matematica, 50, 289-304, 2004.
21. 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.
22. S. CHIRIŢǍ, On some exponential decay estimates for porous elastic cylinder, Arch. Mechanics, 56, 199-212, 2004.
23. D. IEŞAN and R. QUINTANILLA, Decay estimates and energy bounds for porous elastic cylinders, Z. angew. Math. Phys., 46, 268-281, 1995.
24. M. CIARLETTA, S. CHIRIŢǍ and F. PASSARELLA, Some results on the spatial behaviour in linear porous elasticity, Arch. Mechanics, 57, 43-65, 2005.
25. R. LAKES, Foam structure with negative Poisson's ratio, Science, 235, 1038-1040, 1987.
26. R.S. LAKES, No contractile obligations, Nature, 358, 713-714, 1992.
27. R. LAKES, A broader view of membranes, Nature, 414, 503-504, 2001.
28. N.K. MCGUIRE, Negative-coefficient materials can point the way to positive value in the right matrixes, Today's chemist at work, American Chemical Society, Nov., 24-28, 2002.
29. L.B. PARK and R.S. LAKES, Biomaterials, third edition, Springer, 2007.