Theory of Generalized Piezoporo Thermoelasticity

Subject Areas : Engineering

M Jabbari ¹ , A Yooshi ²

1 - Postgraduate School of Engineering, South Tehran Branch, Islamic Azad University
2 - Postgraduate School of Engineering, South Tehran Branch, Islamic Azad University

Received: 2012-09-10 Accepted : 2012-11-05 Published : 2012-12-30

Keywords:

References:

[1] Biot M.A., 1941, General theory of three –dimensional consolidation, Journal of Applied Physics12:155-164.

[2] Biot M.A., 1955, Theory of elasticity and consolidation for a porous anisotropic solid, Journal of Applied Physics 26:182-185.

[3] Biot M.A., Willis D.G., 1954, The elastic coefficients of the theory of consolidation, Journal of Applied Physics 24:594-601.

[4] Vashishth A.K., Gupta V., 2009, Vibrations of porous piezoelectric ceramic plates, Journal of Sound and Vibration 325:781-797.

[5] Biot M.A., 1962, Mechanics of deformation and acoustic propagation in porous media, Journal of Applied Physics 33:1482-1498.

[6] Mandl G., 1964, Change in skeletal volume of a fluid-filled porous body under stress, Journal of the Mechanics and Physics of Solids 12:299–315.

[7] Brown R.J.S, Korringa J., 1975, The dependence of the elastic properties of a porous rock on the compressibility of the pore fluid, Geophysics 40:608-616.

[8] Zimmerman R.W., Somerton W.H., King M.S., 1986, Compressibility of porous rocks , Journal of Geophysical Reasearch 91:12765–12777.
[9] Zimmerman R.W., Myer L.R., Cook N.G.W., 1994, Grain and void compression in fractured and porous rock, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 31:179–184.

[10] Garg S. K., Nayfeh A. H., 1986, Compressional wave propagation in liquid and/or gas saturated elastic porous media, Journal of Applied Physics 60:3045-3055.

[11] Pride S.R., Gangi A.F., Morgan F.D., 1992, Deriving the equations of motion for porous isotropic media, Journal of the Acoustical Society of America 92:3278-3290.

[12] Thompson M., Willis J.R., 1991, A reformulation of the equations of anisotropic poroelasticity, Journal of Applied Mechanics 58:612–616.

[13] Albert D. G, 1993, A comparison between wave propagation in water‐saturated and air‐saturated porous materials, Journal of Applied Physics 73:28-36.

[14] Cowin S., 1999, Bone poroelasticity, Journal of Biomechanics 32:217-238.

[15] Tod S.R., 2003, An anisotropic fractured poroelastic effective medium theory, Geophysical Journal International 155:1006–1020.

[16] Wersing W., Lubitz K., Moliaupt J., 1986, Dielectric elastic and piezoelectric properties of porous PZT ceramics, Ferroelectrics 68:77-97.

[17] Dunn H., Taya M., 1993, Electromechanical properties of porous piezoelectric ceramics, Journal of the American Ceramic Society 76:1697-1706.

[18] Kurashige M., 1989, A thermoelastic theory of fluid-filled porous materials, International Journal of Solids and Structures 25: 1039-1052.

[19] Ciarletta M., Scarpetta E., 1996, Some results on thermoelasticity for porous piezoelectric materials, Mechanics Research Communications 23:1-10.

[20] Ghassemi A., Diek A., 2002, Porothermoelasticity for swelling shales, Journal of Petroleum Science and Engineering 34:123 –135.

[21] Batifol C., Zielinski T. G., Galland M.A., Ichchou M. N., 2006, Hybrid piezo-poroelastic sound package concept: numerical/experimental validations, Proceedings of International Symposium on Active Control of Sound and Vibration, Adelaide, Australia.

[22] Youssef H.M., 2007, Theory of generalized porothermoelasticity, International Journal of Rock Mechanics and Mining Sciences 44:222-227.

[23] Nasedkin A., 2009, New model for piezoelectric porous medium with application to analysis of ultrasonic piezoelectric transducers, Proceedings of the 7th Euromech Solid Mechanics Conference, Lisbon, Portugal.

[24] Zielinski T.G., 2010, Fundamentals of multiphysics modelling of piezo-poro-elastic structures, Archives of Mechanics 62:343-378.

[25] Sharma M.D., 2010, Piezoelectric effect on the velocities of waves in an anisotropic piezo-poroelastic medium, Proceedings the Royal of Society A Mathematical Physical and Engineering sciences 466:1977-1992.

[26] Wang H.F., 2000, Theory of Linear Poroelasticity: with Application to Geomechanics and Hydrogeology, USA, Princeton University Press.

[27] Coussy O., 2004, Poromechanics, New York, Wiley, First edition.

[28] Coussy O., 2010, Mechanics and Physics of Porous Solids, New York, Wiley, First edition.

[29] Ikeda T., 1990, Fundamentals of Piezoelectricity, Oxford University Press.

[30] Hetnarski B., Eslami M.R., 2009, Thermal Stresses: Advanced Theory and Applications, USA, Springer, First edition.

[31] Kidner M. R. F., Hansen C. H., 2008, A comparison and review of theories of the acoustics of porous materials, International Journal Acoustics and Vibration 13:112-119.

[32] Yang D., Zhang Z., 2002, Poroelastic wave equation including the Biot/squirt mechanism and the solid/fluid coupling anisotropy, Wave Motion 35:223–245.

[33] Kraus J.D., 1984, Electromagnetic, USA, McGraw-Hill Inc, Second edition.

[34] Deresiewicz H., Skalak R., 1963, On uniqueness in dynamic poroelasticity, Bulletin of the Seismological Society of America 53:783-788.