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Effective Multi-Field Properties of Electro-Magneto-Thermoelastic Composites Estimated by Finite Element Method Approach

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Abstract

A finite element approach based on the micromechanics was performed to estimate the multi-field properties of electro-magneto-thermoelastic composites. The thermal field and the involved pyroelectric and pyromagnetic effect of the multi-phase composite materials were taken into account in the investigation and implemented in the finite element modeling. The multifields related to the electric field, magnetic field, deformation and temperature field, as well as their coupling effects of the smart composites under periodic boundary conditions were obtained numerically. Especially, by means of the homogenization approximation, the effective thermal expansion coefficients, pyroelectric coefficients, pyromagnetic coefficients and other elastic, electric, and magnetic properties for the piezoelectric material, piezomagnetic material and magnetoelectric material were calculated, respectively. Some results are compared to the theoretical predictions by the well-known Mori-Tanaka method to show good agreements.

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References

  1. Newnham, R.E., Skinner, D.P. and Cross, L.E., Connectivity and piezoelectric-pyroelectric composites. Materials Research Bulletin, 1978, 13: 525–536.

    Article  Google Scholar 

  2. Satapathy, S., Gupta, P.K. and Varma, K.B.R., Enhancement of nonvolatile polarization and pyroelectric sensitivity in lithium tantalate (LT)/poly(vinylidene fluoride) (PVDF) nanocomposite. Journal of Physics D, 2009, 42: 055402.

    Article  Google Scholar 

  3. Nan, C.W., Bichurin, M.I., Dong, S., Viehland, D. and Srinivasan, G., Multiferroic magnetoelectric composites: Historical perspective, status, and future directions. Journal of Applied Physics, 2008, 103: 031101.

    Article  Google Scholar 

  4. Nan, C.W. and Clarke, D.R., Effective properties of ferroelectric and/or ferromagnetic composites: a unified approach and its application. Journal of the American Ceramic Society, 1997, 80: 1333–1340.

    Article  Google Scholar 

  5. Dunn, M.L., Micromechanics of coupled electroelastic composites: effective thermal expansion and pyroelectric coefficients. Journal of Applied Physics, 1993, 73: 5131–5140.

    Article  Google Scholar 

  6. Dunn, M.L. and Taya, M., An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proceedings of the Royal Society of London, Series A: Physical and Engineering Sciences, 1993, 443: 265–287

    Article  Google Scholar 

  7. Dunn, M.L. and Taya, M., Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. International Journal of Solids and Structures, 1993, 30: 161–175.

    Article  Google Scholar 

  8. Li, J.Y. and Dunn, M.L., Anisotropic coupled-field inclusion and inhomogeneity problems. Philosophical magazine A, 1998, 77: 1341–1350.

    Article  Google Scholar 

  9. Li, J.Y. and Dunn, M.L., Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior. Journal of Intelligent Material Systems and Structures, 1998, 9: 404–416.

    Article  Google Scholar 

  10. Li, J.Y., The effective pyroelectric and thermal expansion coefficients of ferroelectric ceramics. Mechanics of Materials, 2004, 36: 949–958.

    Article  Google Scholar 

  11. Hori, M. and Nemat-Nasser, S., Double-inclusion model and overall moduli of multi-phase composites. Journal of Engineering Materials and Technology, 1994, 116: 305.

    Article  Google Scholar 

  12. Li, J.Y., Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials. International Journal of Engineering Science, 2000, 38: 1993–2011.

    Article  Google Scholar 

  13. Tong, Z.H., Lo, S.H., Jiang, C.P. and Cheung, Y.K., An exact solution for the three-phase thermo-electromagneto-elastic cylinder model and its application to piezoelectric–magnetic fiber composites. International Journal of Solids and Structures, 2008, 45: 5205–5219.

    Article  Google Scholar 

  14. Challagulla, K.S. and Georgiades, A.V., Micromechanical analysis of magneto- electro-thermo-elastic composite materials with applications to multilayered structures. International Journal of Engineering Science, 2011, 49: 85–104.

    Article  Google Scholar 

  15. Berger, H., Kari, S., Gabbert, U., Ramos, R.R., Guinovart, R., Otero, J.A. and Castillero, J.B., An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites. International Journal of Solids and Structures, 2005, 42: 5692–5714.

    Article  Google Scholar 

  16. Lee, J., Boyd, J.G. and Lagoudas, D. C., Effective properties of three-phase electro-magneto-elastic composites. International Journal of Engineering Science, 2005, 43: 790–825.

    Article  MathSciNet  Google Scholar 

  17. Tang, T. and Yu, W. Micromechanical modeling of the multiphysical behavior of smart materials using the variational asymptotic method. Smart Materials and Structures, 2009, 18: 125026–125040.

    Article  Google Scholar 

  18. Tang, T. and Yu, W., Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials. International Journal of Engineering Science, 2008, 46: 741–757.

    Article  MathSciNet  Google Scholar 

  19. Liu, W. and Zhong, Z., Three-dimensional thermoelastic analysis of functionally graded of plate. Acta Mechanica Solida Sinica, 2011, 24: 241–249.

    Article  Google Scholar 

  20. Nabian, A., Rezazadeh, G., Almassi, M. and Borgheei, A., On the stability of a functionally graded rectangular micro-plate subjected to hydrostatic and nonlinear electrostatic pressures. Acta Mechanica Solida Sinica, 2013, 26: 205–220.

    Article  Google Scholar 

  21. Wang, J.H., Guo, R., Bhalla, A.S., Finite element simulation of magnetostrictive and piezoelectric coupling in a layered structure. Ferroelectrics Letters, 2007, 34: 46–53.

    Article  Google Scholar 

  22. Perez-Fernandez, L.D., Bravo-Castillero, J., Rodri’guez-Ramos, R. and Sabina, F.J., On the constitutive relations and energy potentials of linear thermo-magneto-electro-elasticity. Mechanics Research Communication, 2009, 36, 343–350.

    Article  MathSciNet  Google Scholar 

  23. Suquet, P., Elements of homogenization theory for inelastic solid mechanics. In: Sanchez-Palencia, E., Zaoui, (Eds.), Homogenization Techniques for Composite Media. Berlin: Springer-Verlag, 1987, 194–275.

    Google Scholar 

  24. COMSOL, Comsol Multiphysics Modeling Guide, Version 4.3. www.comsol.com (2012).

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Authors and Affiliations

  1. Key Laboratory of Mechanics on Environment and Disaster in Western China, The Ministry of Education of China, Lanzhou University, 730000, Lanzhou, China

    Zhichao Zhang & **ngzhe Wang

  2. College of Civil Engineering and Mechanics, Lanzhou University, 730000, Lanzhou, China

    Zhichao Zhang & **ngzhe Wang

Authors
  1. Zhichao Zhang
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  2. **ngzhe Wang
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Corresponding author

Correspondence to **ngzhe Wang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11172117), Doctoral Fund of Ministry of Education of China (No. 20120211110005) and the Foundation for Innovative Research Groups of the NNSFC (No. 11121202).

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Zhang, Z., Wang, X. Effective Multi-Field Properties of Electro-Magneto-Thermoelastic Composites Estimated by Finite Element Method Approach. Acta Mech. Solida Sin. 28, 145–155 (2015). https://doi.org/10.1016/S0894-9166(15)30003-3

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  • DOI: https://doi.org/10.1016/S0894-9166(15)30003-3

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