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Articles

Thermal stresses in orthotropic Cosserat elastic cylinders

Pages 321-335 | Received 11 Sep 2019, Accepted 05 Oct 2019, Published online: 07 Nov 2019

References

  • R. Lakes, “Elastic and viscoelastic behavior of chiral materials,” Int. J. Mech. Sci., vol. 43, no. 7, pp. 1579–1589, 2001. DOI: 10.1016/S0020-7403(00)00100-4.
  • J. Rosenberg, R. Cimrman, and V. Novacek, “Bone tissue modelling based on the orthotropic micropolar continuum,” in Engineering Mechanics. Czech Republic: Svratka, May 2002.
  • J. Fatemi, F. van Keulen, and P. R. Onck, “Generalized continuum theories: applications to stress analysis of bone,” Meccanica, vol. 37, no. 4/5, pp. 385–396, 2002. DOI: 10.1023/A:1020839805384.
  • S. Casolo, “Macroscopic modelling of structured materials: relationship between orthotropic Cosserat continuum and rigid elements,” Int. J. Solids Struct., vol. 43, no. 3–4, pp. 475–496, 2006.DOI: 10.1016/j.ijsolstr.2005.03.037.
  • K. Chandraseker, S. Mukherjee, J. T. Paci, and G. C. Schatz, “An atomistic-continuum Cosserat rod model of carbon nanotubes,” J. Mech. Phys. Solids, vol. 57, no. 6, pp. 932–958, 2009. DOI: 10.1016/j.jmps.2009.02.005.
  • C. S. Ha, M. E. Plesha, and R. S. Lakes, “Chiral three dimensional lattices with tunable Poisson's ratio,” Smart Mater. Struct., vol. 25, no. 5, pp. 054005, 2016. DOI: 10.1088/0964-1726/25/5/054005.
  • P. Lasaygues, and M. Pithioux, “Ultrasonic characterization of orthotropic elastic bovine bones,” Ultrasonic, vol. 39, no. 8, pp. 567–573, 2002. DOI: 10.1016/S0041-624X(02)00261-5.
  • S. S. Kohles, and J. B. Roberts, “Linear poroelastic bone anisotropy: trabecular solid elastic and fluid transport properties,” J. Biomechanical Eng., vol. 124, no. 5, pp. 521–526, 2002. DOI: 10.1115/1.1503374.
  • S. Bensamoun, M. C. Ho Ba Tho, S. Luu, J. M. Gerbezza, and J. F. de Belleval, “Spatial distribution of acoustic and elastic properties of femoral human cortical bone,” J. Biomech., vol. 37, no. 4, pp. 503–510, 2004.DOI: 10.1016/j.jbiomech.2003.09.013.
  • A. Taliercio, and D. Veber, “Some problems of linear elasticity for cylinders in micropolar orthotropic material,” Int. J. Solids Struct, vol. 46, no. 22-23, pp. 3948–3963, 2009.DOI: 10.1016/j.ijsolstr.2009.07.018.
  • A. Taliercio, and D. Veber, “Torsion of elastic anisotropic micropolar cylindrical bars,” Eur. J. Mech A Solids, vol. 55, pp. 45–56, 2016.DOI: 10.1016/j.euromechsol.2015.08.006.
  • A. C. Eringen, Microcontinuum Field Theories, I: Foundations and Solids. New York, Berlin: Springer, 1999.
  • D. Ieşan, and A. Scalia, “On the deformation of orthotropic Cosserat elastic cylinders,” Mathematics Mechanics Solids, vol. 16, no. 2, pp. 177–199, 2011.DOI: 10.1177/1081286510367555.
  • D. Iesan, “Thermoelastic deformation of reinforced chiral cylinders,” Acta Mech., vol. 228, pp. 3901–3922, 2017. DOI: 10.1007/s00707-017-1900-x.
  • J. Dyszlewicz, Micropolar Theory of Elasticity. Berlin, New York: Springer-Verlag, 2004.
  • G. Fichera, “Existence theorems in elasticity,” in Handbuch der Physik. vol. VI/2, C. Truesdell (ed.), Berlin, Heidelberg, New York: Springer-Verlag, pp. 347–388; 1972.
  • R. B.Hetnarski, and M. R. Eslami, Thermal Stresses - Advanced Theory and Applications. Berlin: Springer, 2008.
  • N. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Groningen Noordhoff, 1953.
  • D. Iesan, Classical and Generalized Models of Elastic Rods. London, Boca Raton: Chapman & Hall/CRC Press, 2009.
  • I. Tsukrov, and B. Drach, “Elastic deformation of composite cylinders with cylindrically orthotropic layers,” Int. J. Solids Struct., vol. 47, no. 1, pp. 25–33, 2010.vol DOI: 10.1016/j.ijsolstr.2009.09.005.

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