Accès libre

Effect of the initial stress and rotation on free vibrations in transversely isotropic human long dry bone

À propos de cet article

Citez

[1] S. R. Mahmoud, Wave propagation in cylindrical poroelastic dry bones, Applied Mathematics & Information Sciences, Vol. 4, No.2, 209-226; (2010).Search in Google Scholar

[2] A. M. Abd-Alla, S. R. Mahmoud and S.M. Abo-Dahab, “Wave propagation modeling in cylindrical human long wet bones with cavity”, Meccanica, Vol. 46, 6, pp.1413-1428, (2011).10.1007/s11012-010-9398-5Search in Google Scholar

[3] Salah Ramtani, Electro-mechanics of bone remodeling, International Journal of Engineering Science 46, pp.1173–1182, (2008)10.1016/j.ijengsci.2008.06.001Search in Google Scholar

[4] S. Ramtani, M. Zidi, A theoretical model of the effect of continuum damage on a bone adaptation model, J. Biomech. 34, 471–479,(2001).10.1016/S0021-9290(00)00215-3Search in Google Scholar

[5] S. R. Mahmoud, Influnce of rotation and generalized magneto-thermoelastic on Rayleigh waves in a granular medium under effect of initial stress and gravity field, Meccanica, Vol. 47, N0.7 pp.1561-1579, (2012).10.1007/s11012-011-9535-9Search in Google Scholar

[6] S. R. Mahmoud, Effect of rotation and magnetic field through porous medium on Peristaltic transport of a Jeffrey fluid in tube, Mathematical Problems in Engineering, Vol. 2011, ID 971456, (2011).10.1155/2011/971456Search in Google Scholar

[7] D.P. Nickerson, N.P. Smith, P.J. Hunter, A Model of Cardiac cellular electromechanics. The integrated heart: modelling cardiac structure and function, Philos. Trans.: Math., Phys. Eng. Sci. 359, 1783 1159–1172,(2001).Search in Google Scholar

[8] Peter Kohl, Frederick Sachs, Mechanoelectric feedback in cardiac cells. The integrated heart: modelling cardiac structure and function, Philos. Trans.: Math., Phys. Eng. Sci. 359, 783, 1173–1185,(2001).Search in Google Scholar

[9] A.C. Eringen, Electromagnetic theory of microstretch elasticity and bone modelling, Int. J. Eng. Sci. 42, 231–242, (2004).10.1016/S0020-7225(03)00288-XSearch in Google Scholar

[10] A. M. Abd-Alla and S. R. Mahmoud, Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylindrical under the hyperbolic heat conduction model, Meccanica, 45, 4, 451-462, (2010).10.1007/s11012-009-9261-8Search in Google Scholar

[11] A.M. Abd-Alla and S. R. Mahmoud, Analytical solution of wave propagation in non-homogeneous orthotropic rotating elastic media, Journal of Mechanical Science and Technology, Vol. 26, N0. 3, pp.917-926, (2012).10.1007/s12206-011-1241-ySearch in Google Scholar

[12] A. M. Abd-Alla, S. R. Mahmoud, S.M. Abo-Dahab and M.I.R. Helmi, Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field, Applied Mathematics and Computation, Vol. 217, 9, 4321-4332, (2011).10.1016/j.amc.2010.10.029Search in Google Scholar

[13] F. Honarvarla, E. Enjilela, A. Sinclair and S. Mirnezami, Wave propagation in transversely isotropic cylinders, Int. J. Solids and Structures, Vol. 44, pp.5236-5246, (2007).10.1016/j.ijsolstr.2006.12.029Search in Google Scholar

[14] H.J. Ding, W.Q. Chen and L. Zhang, Elasticity of transversely isotropic materials, Springer, (2006).Search in Google Scholar

[15] W.Q. Chen, K.Y. Lee, H. J. Ding, On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic hollow cylinders, J. Sound Vib. vol. 279, 237-251 (2005)Search in Google Scholar

[16] W.Q. Chen, K.Y. Lee and H.J. Ding, General solution for transversely isotropic magneto-electro-thermo-elasticity and potential theory method, I.J. Engineering Science, Vol. 42, pp. 1361-1379, (2004).10.1016/j.ijengsci.2004.04.002Search in Google Scholar

[17] A.M. Abd-Alla, S. R. Mahmoud and S.M. Abo-Dahab, On Problem of Transient Coupled Thermoelasticity of an Annular Fin, Meccanica, Vol. 47, N0 5. pp. 1295-1306, (2012).10.1007/s11012-011-9513-2Search in Google Scholar

[18] A.M. Abd-Alla and S. R. Mahmoud, On problem of radial vibrations in non-homogeneity isotropic cylinder under influence of initial stress and magnetic field, Journal of Vibration and Control, doi: 10.1177/1077546312441043, (2012).10.1177/1077546312441043Search in Google Scholar

[19] M.R. Mofakhami, H.H. Toudeshky and Sh.H. Hashemi, Finite cylinder vibrations with different end boundary conditions, J. Sound and Vibration, Vol. 297, pp.293-314, (2006).10.1016/j.jsv.2006.03.041Search in Google Scholar

[20] A. M. Abd-Alla, G. A. Yahya, S. R. Mahmoud, H. S. Alosaimi, Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid, Meccanica, Vol. 47, N0. 6, pp.1455–1465, (2012).10.1007/s11012-011-9528-8Search in Google Scholar

[21] A.M. Abd-Alla, S. R. Mahmoud and N.A.AL-Shehri, Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material, Applied Mathematics and Computation, Vol. 217, 22, pp 8914-8922, (2011).10.1016/j.amc.2011.03.077Search in Google Scholar

[22] S. R. Mahmoud, A.M. Abd-Alla and N.A.AL-Shehri, Effect of the rotation on plane vibrations in a transversely isotropic infinite hollow cylinder, International Journal of Modern Physics B, Vol. 25,26, pp. 3513-3528 (2011).10.1142/S0217979211100928Search in Google Scholar

[23] M. Marin, G. Stan, Weak solutions in Elasticity of dipolar bodies with stretch, Carpathian Journal of Mathematics, Vol. 29 (1), 2013, pp. 33-4010.37193/CJM.2013.01.12Search in Google Scholar

[24] K. Sharma, M. Marin, Reflection and transmission of waves from imperfect boundary between two heat conducting micropolar thermoelastic solids, An. Sti. Univ. Ovidius Constanta, Vol. 22, issue 2,(2014), 151-17510.2478/auom-2014-0040Search in Google Scholar

[25] A.M. El-Naggar and A.M. Abd-Alla, On a generalized thermo-elastic problems in an infinite cylinder under initial stress, J. Earth, Moon and Planets, Vol. 37, PP.213-223, (1987).10.1007/BF00116637Search in Google Scholar

[26] Haixia Lu, Li Sun, Jingxian Sun, Existence of positive solutions to a non-positive elastic beam equation with both ends fixed, Boundary Value Problems 2012, 2012:56 (2012).10.1186/1687-2770-2012-56Search in Google Scholar

[27] S. R. Mahmoud, Effect of non-homogeneity and rotation on an infinite generalized thermoelastic diffusion medium with a spherical cavity subject to magnetic field and initial stress, Abstract and Applied Analysis, Vol. 2013, Article ID 284646, in press, (2013).10.1155/2013/284646Search in Google Scholar

[28] M. Marin, Some estimates on vibrations in thermoelasticity of dipolar bodies, Journal of Vibration and Control, 2010, 16 (1), 33-47.10.1177/1077546309103419Search in Google Scholar

[29] S. R. Mahmoud, Effect of non-homogenity, magnetic field and gravity field on Rayleigh waves in an initially stressed elastic half-space of orthotropic material subject to rotation, Journal of Computational and Theoretical Nanoscience, Vol. 11, pp. 1627-1634,(2014).10.1166/jctn.2014.3542Search in Google Scholar

[30] M. Marin, The Lagrange identity method in thermoelasticity of bodies with microstructure, Int. J. Engng. Sci., Elsevier, vol. 32, 8, 1229-1240; (1994).10.1016/0020-7225(94)90034-5Search in Google Scholar

[31] M. Marin, A partition of energy in Thermoelasticity of microstretch bodies, Nonlinear Analysis: R. W. A., Elsevier, vol. 11, 4, 2436-2447; (2010).Search in Google Scholar

[32] S. R. Mahmoud, Analytical solution for free vibrations of elastodynamic orthotropic hollow sphere under the influence of rotation, Journal of Computational and Theoretical Nanoscience, Vol. 11, 1, pp. 137-146, (2014).10.1166/jctn.2014.3328Search in Google Scholar

[33] M. Marin, Ravi P Agarwal, S.R. Mahmoud, Nonsimple material problems addressed by the Lagrange’s identity, Boundary Value Problems, 135, 2013:135, (2013).10.1186/1687-2770-2013-135Search in Google Scholar

[34] S. R. Mahmoud, On problem of Shear waves in a magneto-elastic half-space of initially stressed a non-homogeneous anisotropic material under influence of rotation, International Journal of Mechanical Sciences, Vol. 77, 12, pp.269–276, (2013).10.1016/j.ijmecsci.2013.10.004Search in Google Scholar

[35] M. Marin, R. P. Agarwal, S. R. Mahmoud, Modeling a microstretch thermoelastic body with two temperatures, Abstract and Applied Analysis, doi.org/10.1155/2013/583464, Vol. 2013, Article ID 583464, 7 pages, (2013).10.1155/2013/583464Search in Google Scholar

[36] M. Marin, O. Florea, On temporal behavior of solutions in Thermoelasticity of porous micropolar bodies, An. Sti. Univ. Ovidius Constanta, Vol. 22, issue 1,(2014), 169-18810.2478/auom-2014-0014Search in Google Scholar

[37] X. Lin, B. Zhao and Z. Du, A third-order multi-point boundary value problem at resonance with one three dimensional kernel space, Carpathian Journal of Mathematics, Vol. 30 (2014), No. 1, 93-100Search in Google Scholar

eISSN:
1844-0835
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics