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Deformation of orthotropic porous elastic bars under lateral loading

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Języki publikacji
EN
Abstrakty
EN
The present paper is concerned with the linear theory of inhomogeneous and orthotropic, porous elastic cylinders. The work is motivated by the recent interest in using of orthotropic porous elastic solid as a model for bones and for various engineering materials. A generalization of Saint-Venant's problem to the case when the cylinder is subjected to body forces and to surface forces on the lateral boundary. The three-dimensional problem is reduced to the study of plane problems. The method is applied to investigate the deformation of a uniformly loaded circular cylinder.
Rocznik
Strony
3--20
Opis fizyczny
Bibliogr. 34 poz.
Twórcy
autor
  • Department of Applied Mathematics ''Al.I. Cuza" University and "0. Mayer" Institute of Mathematics Romanian Academy, Iasi, Romania, iesan@uaic.ro
Bibliografia
  • 1. H. NAKAJIMA, M. TANE, S.K. HYUN, H. SEKI, Anisotropic mechanical properties oj lotus-type porous metals, [in:] Mechanical Properties of Cellular Materials, H. ZHAO and N.A. FLECK [Eds.], IUTAM Bookseries 12, 43-50, Springer, Berlin 2008.
  • 2. A. ŐCHSNER, G.E. MURCH, M.J.S. DE LEMOS, Cellular and Porous Materials, Wiley-VCH, Weinheim 2008.
  • 3. C. KOHLHAUSER, C. HELLMICH, C. VITALE-BROYARONE, A.R. BOCCACCINI, A. ROTA, J. EBERHARDSTEINER, Ultrasonic characteristic of porous biomaterials across different frequencies, Strain, 45, 34-44, 2009.
  • 4. J.W. NUNZIATO, S.C. COWIN, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal, 72, 175-201, 1979.
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  • 7. R.D. MINDLIN, Micro structure in linear elasticity, Arch. Rational Mech. Anal., 16, 51-77, 1964.
  • 8. A.O. ERINGEN, E.S. SUHUBI, Nonlinear theory of simple microelastic solids, Int. J. En-gng. Sci., 2, 189-203, 1964.
  • 9. A.E. GREEN, R.S. RIVLIN, Multipolo,r continuum mechanics, Arch. Rational Mech. Anal., 17, 113 147, 1964.
  • 10. A.E. GREEN, Micro materials and multi-polar continuum mechanics, Int. J. Engng. Sci., 3, 533 537, 1965.
  • 11. I.A. KUNIN, Elastic Media with Micro structure II, Springer Series in Solid State Sciences, Vol. 44, Springer-Verlag, Berlin 1983.
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  • 13. P.M. MARIANO, Multifield Theories in Mechanics of Solids, Academic Press, New York 2001.
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  • 15. A.O. ERINGEN, Theory of thermo-stretch elastic solids, Int. J. Engrig. Sci., 28, 1291-1301, 1990.
  • 16. M. OIARLETTA, D. IE§AN, Non-Classical Elastic Solids, Longman Scientific and Technical, Mar low 1993.
  • 17. D. IEŞAN, Thermoelastic Models of Continua, Kluwer Acad. Publish., Dordrecht 2004.
  • 18. F. DELL'ISOLA, R.C. BATRA, Saint-Venant's problem for porous linear elastic materials, J. Elasticity, 47, 73-81, 1997.
  • 19. O.II. TURNER, S.C. COWIN, J.Y. ASHMAN, J.C. RICE, The fabric dependence of the orthotropic elastic constants of cancellous bone, J. Biomechanics, 23, 549-561, 1990.
  • 20. P. LASAYGUES, M. PITHIOUX, Ultrasonic characterization of orthotropic elastic bovine bones. Ultrasonics, 39, 567-573, 2002.
  • 21. S.S. KOHLES, J.B. ROBERTS, Linear poroelastic bone anisotropy: trabecular solid elastic and fluid transport properties, J. Biomechanical Eng., 124, 521-526, 2002.
  • 22. S. BENSAMOUN, M.C. Ho BA THO, S. Luu, J.M. GERBEZZA, J.F. DE BELLEVAL, Spatial distribution of acoustic and elastic properties of femoral human cortical bone, J. Biomechanics, 37, 503-510, 2004.
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  • 24. X. BADICHE, S. FOREST, T. GUIBERT, Y. BIENVENU, J.D. BARTOUT, P. IENNY, M. CROSET, H. BERNET, Mechanical properties and non-homogeneous deformation of open-cell nickel foams: application of the mechanics of cellular solids and of porous materials, Materials Science and Engineering A, 289, 276-288, 2000.
  • 25. M.D. SMARM A, Surface waves in a general anisotropic poroelastic solid half-space, Geophysical Journal International, 159, 703-710, 2004.
  • 26. M.A. DIETENBERGER, Using a quasi-heat-pulse-method to determine heat and 'moisture transfer properties for porous orthotropic wood products or cellular solid 'materials, J. Thermal Analysis and Calorimetry, 83, 97-106, 2006.
  • 27. E. ALMANSI, Sopra la deformazione dei cilindri sollecitati lateralmente, Atti Accad. Naz. Lincei Rend., Cl. Sci. Fis. Mat. Natur. Ser. 5, 10, 333-338 , 1901.
  • 28. J.II. MICHELL, The theory of uniformly loaded beams, Quart. J. Math., 32, 28-42, 1901.
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  • 31. D. IKSAN, L. NAPPA, Saint-Venant's problejn for rnicrostretch elastic solids, Int. J. Engng. Sci., 32, 229 236, 1994.
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  • 34. V.A. LOMAKIN, Theory of Nonhomogeneous Elastic Bodies [in Russian], Moscow 1976.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATB-0001-0045
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