Abstract
The analytical expressions for effective thermal, mechanical, electrical, and magnetic moduli of biphasic smart composites with the linear coupling behavior are developed by employing Mori–Tanaka theory and Dunn model, combined with the equivalent inclusion method for an ellipsoidal inclusion embedded in a transversely isotropic medium. These expressions reflected directly the contributions of each phase and that of the coupling taken place between any combinations of thermal, mechanical, electric, and magnetic behavior and provide a physical insight into how a composites consisting of inclusions perform. For a fibrous reinforced smart composite, the explicit expressions for the sum and product properties are derived and are helpful in understanding the coupling behaviors. The effective properties and the coupling effects as a function of microstructure are discussed theoretically and numerically for piezocomposite and piezomagnetic composite. The results are compared with that of the rule of mixture.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dias, C.J., Das-Gupta, D.K.: Inorganic ceramic/polymer ferroelectric composite electrets. IEEE trans. Dielectr. Electr. Insul. 3, 706–734 (1996)
Dunn, M.L.: Micromechanical of coupled electroelastic composites: effective thermal expansion and pyroelectric coefficients. J. Appl. Phys. 73(10), 5131–5140 (1993)
Dunn, M.L., Taya, M.: An alalysis of piezoelectric composite materials containing ellipsoidal in homogenities. Proc. R. Soc. Lond A 43(8), 265–287 (1993)
Eshelby, J.D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. A 241, 376–396 (1957)
Gomez, T.E., Espinosa, F.M.: New constitutive relations for piezoelectric composites and porous piezoelectric ceramics. J. Acoust. Soc. Am. 100(5), 3104–3114 (1996)
Gomez, T.E., Espinosa, F.M.: Piezocomposites of complex microstructure: theory and experimental assessment of the coupling between phase. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44(1), 208–217 (1997)
Huang, J.H.: Analytical predications for the magnetoelectric coupling in piezomagnetic materials reinforced by piezoelectric ellipsoidal inclusions. Phys. Rev. B 58(1), 12–15 (1998)
Huang, S.F., Xu, D.Y., Chang, J., Xu, R.H., Lu, L.C., Cheng, X.: Smart properties of carbon fiber reinforced cement-based composites. J. Compos. Mater. 41, 125–131 (2007)
Kadam, S.L., Patankar, K.K., Mathe, V.L, Kothale, M.B., Kale, R.B., Chougule, B.K.: Dielectric behavior and magnetoelectric effect in Ni0.75Co0.25Fe2O4 + Ba0.8Pb0.2TiO3 ME composites. J. Electroceram. 9, 193–198 (2002)
Mori, T., Tanaka, K.: Average stress in matrix average elastic energy of materials with misfitting inclusions. Acta Metall. 21, 571–574 (1973)
Myers, R., Islam, R.A., Karmarkar, M., Priya, S.: Magnetoelectric laminate composite based tachometer for harsh environment applications. Appl. Phys. Lett. 91, 122904–122908 (2007)
Nan, C.-W., Cai, N., Liu, L., Zhai, J., Ye, Y., Lin, Y.: Coupled magnetic-electric properties and critical behavior in multiferroic particulate composites. J. Appl. Phys. 94(9), 5930–5936 (2003)
Oh, J., Cho, M., Kim, J.-S.: Enhanced lower-order shear deformation theory for fully coupled electro-thermo-mechanical smart laminated plates. Smart Mater. Struct. 16, 2229–2241 (2007)
Ryu, J., Parya, S., Uchino, K., Kim, H.: Magnetoelectric effect in composites of magnetostrictive and piezoelectric materials. J. Electroceram. 8, 107–119 (2002)
Saha, G.C., Kalamkarov, A.L., Georqiades, A.V.L.: Micromechanical analysis of effective piezoelastic properties of smart composite sandwich shells made of generally orthotropic materials. Smart Mater. Struct. 16, 866–883 (2007)
Satish, B., Sridevi, K., Vijaya, M.S.: Study of piezoelectric and dielectric properties of ferroelectric PZT-Polymer composites prepared by hot-press technique. J. Phys. D Appl. Phys. 35, 2048–2050 (2002)
Taya, M.: Micromechanics modeling of smart composites. Composites Part A 30, 531–536 (1999)
Wu, T.-L., Huang, J.H.: Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composite with piezoelectric and piezomagnetic phases. Inter. Solid Struct. 37, 2981–2987 (2000)
Zhai, J., Cai, N., Shi, Z., Lin, Y., Nan, C.W.: Coupled magnetodielectric properties of laminated PbZr0.53Ti0.47O3/NiFe2O4. J. Appl. Phys. 95, 5685–5690 (2004)
Zhang, D.-M., Yang, F.-X., Zhong, Z.-C., Wei, N., Han, X.-Y., Li, Z.-H., Zhen, K.-Y., Jiang, S.-L.: The coupled thermoelectroelastic behaviors of biphasic piezocomposites. J. Appl. Phys. 98, 036103-1-3 (2005)
Zhang, D.-M., Wei, N., Yang, F.-X., Han, X.-Yun., Zhong, Z.-C., Zhen, K.-Y.: A new comprehensive model for the pyroelectric property of 0-3 ferroelectric composites. J. Phys. D Appl. Phys. 39, 1963–1969 (2006)
Acknowledgment
This work was supported by the National Natural Science Foundation of China under Grant No. 10675048, the Natural Science of Huazhong University of Science.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, F., Zhang, D., Li, L. et al. The effective properties of smart composites with linear coupling behaviors. Int J Mech Mater Des 4, 255–263 (2008). https://doi.org/10.1007/s10999-008-9059-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10999-008-9059-1