Table of Contents Author Guidelines Submit a Manuscript
Journal of Engineering
Volume 2014, Article ID 824806, 14 pages
http://dx.doi.org/10.1155/2014/824806
Research Article

Numerical Simulation of Effective Properties of 3D Piezoelectric Composites

1Fujian Port and Waterway Survey and Research Institute, 283 Yangqiao Road, Fuzhou 350002, China
2Research School of Engineering, Australian National University, Canberra, ACT 2601, Australia

Received 3 May 2014; Accepted 18 June 2014; Published 18 August 2014

Academic Editor: Lucian Dascalescu

Copyright © 2014 Ri-Song Qin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Q. H. Qin, Advanced Mechanics of Piezoelectricity, Higher Education Press, Springer, Beijing, China, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  2. Q. H. Qin, Fracture Mechanics of Piezoelectric Materials, WIT Press, Southampton, UK, 2001.
  3. H. Sosa, “Plane problems in piezoelectric media with defects,” International Journal of Solids and Structures, vol. 28, no. 4, pp. 491–505, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. D. M. Barnett and J. Lothe, “Dislocations and line charges in anisotropic piezoelectric insulators,” Physica Status Solidi B, vol. 67, no. 1, pp. 105–111, 1975. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Cao, Q. H. Qin, and A. Yu, “Hybrid fundamental-solution-based FEM for piezoelectric materials,” Computational Mechanics, vol. 50, no. 4, pp. 397–412, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. Q.-H. Qin, Y.-W. Mai, and S.-W. Yu, “Some problems in plane thermopiezoelectric materials with holes,” International Journal of Solids and Structures, vol. 36, no. 3, pp. 427–439, 1999. View at Publisher · View at Google Scholar · View at Scopus
  7. Q. H. Qin and Y. Mai, “Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials,” Archive of Applied Mechanics, vol. 68, no. 6, pp. 433–444, 1998. View at Publisher · View at Google Scholar · View at Scopus
  8. Q. H. Qin, “2D Green’s functions of defective magnetoelectroelastic solids under thermal loading,” Engineering Analysis with Boundary Elements, vol. 29, no. 6, pp. 577–585, 2005. View at Publisher · View at Google Scholar · View at Scopus
  9. Q. H. Qin, “General solutions for thermopiezoelectrics with various holes under thermal loading,” International Journal of Solids and Structures, vol. 37, no. 39, pp. 5561–5578, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. Q. H. Qin, “Thermoelectroelastic Green’s function for a piezoelectric plate containing an elliptic hole,” Mechanics of Materials, vol. 30, no. 1, pp. 21–29, 1998. View at Publisher · View at Google Scholar · View at Scopus
  11. Q. H. Qin, “A new solution for thermopiezoelectric solid with an insulated elliptic hole,” Acta Mechanica Sinica, vol. 14, no. 2, pp. 157–170, 1998. View at Publisher · View at Google Scholar · View at Scopus
  12. Q. H. Qin and Y. Mai, “BEM for crack-hole problems in thermopiezoelectric materials,” Engineering Fracture Mechanics, vol. 69, no. 5, pp. 577–588, 2002. View at Publisher · View at Google Scholar · View at Scopus
  13. J. Aboudi, Mechanics of Composite Materials: A Unified Micromechanical Approach, Elsevier Science Publishers, Amsterdam, The Netherlands, 1991. View at MathSciNet
  14. Q. H. Qin and Q. S. Yang, Macro-Micro Theory on Multifield Coupling Behaivor of Hetereogenous Materials, Higher Education Press, Springer, Beijing, China, 2008.
  15. Q.-H. Qin, Y.-W. Mai, and S.-W. Yu, “Effective moduli for thermopiezoelectric materials with microcracks,” International Journal of Fracture, vol. 91, no. 4, pp. 359–371, 1998. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Berger, S. Kari, U. Gabbert et al., “An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites,” International Journal of Solids and Structures, vol. 42, no. 21-22, pp. 5692–5714, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  17. R. Guinovart-Díaz, J. Bravo-Castillero, R. Rodríguez-Ramos, F. J. Sabina, and R. Martínez-Rosado, “Overall properties of piezocomposite materials 1–3,” Materials Letters, vol. 48, no. 2, pp. 93–98, 2001. View at Publisher · View at Google Scholar · View at Scopus
  18. Q. H. Qin and S. Yu, “Effective moduli of piezoelectric material with microcavities,” International Journal of Solids and Structures, vol. 35, no. 36, pp. 5085–5095, 1998. View at Publisher · View at Google Scholar · View at Scopus
  19. H. E. Pettermann and S. Suresh, “A comprehensive unit cell model: a study of coupled effects in piezoelectric 1-3 composites,” International Journal of Solids and Structures, vol. 37, no. 39, pp. 5447–5464, 2000. View at Publisher · View at Google Scholar · View at Scopus
  20. R. Kar-Gupta and T. A. Venkatesh, “Electromechanical response of 1–3 piezoelectric composites: s numerical model to assess the effects of fiber distribution,” Acta Materialia, vol. 55, no. 4, pp. 1275–1292, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. Q. H. Qin, “Micromechanics-BE solution for properties of piezoelectric materials with defects,” Engineering Analysis with Boundary Elements, vol. 28, no. 7, pp. 809–814, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. Q. H. Qin, “Material properties of piezoelectric composites by BEM and homogenization method,” Composite Structures, vol. 66, no. 1, pp. 295–299, 2004. View at Publisher · View at Google Scholar · View at Scopus
  23. Z. H. Xia, Y. Chen, and F. Ellyin, “A meso/micro-mechanical model for damage progression in glass-fiber/epoxy cross-ply laminates by finite-element analysis,” Composites Science and Technology, vol. 60, no. 8, pp. 1171–1179, 2000. View at Publisher · View at Google Scholar · View at Scopus
  24. M. Würkner, H. Berger, and U. Gabbert, “On numerical evaluation of effective material properties for composite structures with rhombic fiber arrangements,” International Journal of Engineering Science, vol. 49, no. 4, pp. 322–332, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. Y. Pan, L. Iorga, and A. A. Pelegri, “Numerical generation of a random chopped fiber composite RVE and its elastic properties,” Composites Science and Technology, vol. 68, no. 13, pp. 2792–2798, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. S. Kari, H. Berger, and U. Gabbert, “Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites,” Computational Materials Science, vol. 39, no. 1, pp. 198–204, 2007. View at Publisher · View at Google Scholar · View at Scopus
  27. K. S. Havner, “A discrete model for the prediction of subsequent yield surfaces in polycrystalline plasticity,” Solid Structures, vol. 7, pp. 719–730, 1971. View at Google Scholar · View at MathSciNet · View at Scopus
  28. Z. Xia, Y. Zhang, and F. Ellyin, “A unified periodical boundary conditions for representative volume elements of composites and applications,” International Journal of Solids and Structures, vol. 40, no. 8, pp. 1907–1921, 2003. View at Publisher · View at Google Scholar · View at Scopus