Table of Contents
Smart Materials Research
Volume 2013 (2013), Article ID 749296, 13 pages
http://dx.doi.org/10.1155/2013/749296
Research Article

Density Dependence of the Macroscale Superelastic Behavior of Porous Shape Memory Alloys: A Two-Dimensional Approach

1Department of Mechanical Engineering, École de Technologie Supérieure, Montréal, QC, Canada H3C 1K3
2Mechanical and Materials Engineering Group, Engineering Department, European Organization for Nuclear Research (CERN), 1211 Geneva, Switzerland

Received 5 April 2013; Accepted 15 June 2013

Academic Editor: Outi Söderberg

Copyright © 2013 Guillaume Maîtrejean 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. D. Lagoudas, Shape Memory Alloys: Modeling and Engineering Applications, Springer, 2008.
  2. V. Brailovski, S. Prokoshkin, P. Terriault, and F. Trochu, Shape Memory Alloys: Fundamentals, Modeling and Applications, École de Technologie Supérieure, 2003.
  3. Y. Zhao, M. Taya, and H. Izui, “Study on energy absorbing composite structure made of concentric NiTi spring and porous NiTi,” International Journal of Solids and Structures, vol. 43, no. 9, pp. 2497–2512, 2006. View at Publisher · View at Google Scholar · View at Scopus
  4. O. Prymak, D. Bogdanski, M. Köller et al., “Morphological characterization and in vitro biocompatibility of a porous nickel-titanium alloy,” Biomaterials, vol. 26, no. 29, pp. 5801–5807, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. V. Brailovski, S. Prokoshkin, M. Gauthier et al., “Bulk and porous metastable beta Ti-Nb-Zr(Ta) alloys for biomedical applications,” Materials Science and Engineering C, vol. 31, no. 3, pp. 643–657, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. P. B. Entchev and D. C. Lagoudas, “Modeling porous shape memory alloys using micromechanical averaging techniques,” Mechanics of Materials, vol. 34, no. 1, pp. 1–24, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Nemat-Nasser, Y. Su, W.-G. Guo, and J. Isaacs, “Experimental characterization and micromechanical modeling of superelastic response of a porous NiTi shape-memory alloy,” Journal of the Mechanics and Physics of Solids, vol. 53, no. 10, pp. 2320–2346, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. S. Nemat-Nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, vol. 2, Elsevier, Amsterdam, The Netherlands, 1999.
  9. M. A. Qidwai, P. B. Entchev, D. C. Lagoudas, and V. G. DeGiorgi, “Modeling of the thermomechanical behavior of porous shape memory alloys,” International Journal of Solids and Structures, vol. 38, no. 48-49, pp. 8653–8671, 2001. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Gibson and M. Ashby, Cellular Solids: Structure and Properties, Cambridge University Press, 1999.
  11. I. Ansys, Ansys Mechanical APDL and Mechanical Applications Theory Reference, Ansys, Inc., 13th edition, 2010.
  12. F. Auricchio, R. L. Taylor, and J. Lubliner, “Shape-memory alloys: macromodelling and numerical simulations of the superelastic behavior,” Computer Methods in Applied Mechanics and Engineering, vol. 146, no. 3-4, pp. 281–312, 1997. View at Google Scholar · View at Scopus
  13. D. C. Lagoudas and P. B. Entchev, “Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys—part I: constitutive model for fully dense SMAs,” Mechanics of Materials, vol. 36, no. 9, pp. 865–892, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Panico and L. C. Brinson, “A three-dimensional phenomenological model for martensite reorientation in shape memory alloys,” Journal of the Mechanics and Physics of Solids, vol. 55, no. 11, pp. 2491–2511, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. F. Auricchio, A. Reali, and U. Stefanelli, “A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity,” International Journal of Plasticity, vol. 23, no. 2, pp. 207–226, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, “Determination of the size of the representative volume element for random composites: statistical and numerical approach,” International Journal of Solids and Structures, vol. 40, no. 13-14, pp. 3647–3679, 2003. View at Publisher · View at Google Scholar · View at Scopus
  17. I. M. Gitman, H. Askes, and L. J. Sluys, “Representative volume: existence and size determination,” Engineering Fracture Mechanics, vol. 74, no. 16, pp. 2518–2534, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Shen and L. Brinson, “A numerical investigation of the effect of boundary conditions and representative volume element size for porous titanium,” Journal of Mechanics of Materials and Structures, vol. 1, pp. 1179–1204, 2006. View at Publisher · View at Google Scholar
  19. A. P. Roberts and E. J. Garboczi, “Elastic properties of model random three-dimensional open-cell solids,” Journal of the Mechanics and Physics of Solids, vol. 50, no. 1, pp. 33–55, 2002. View at Publisher · View at Google Scholar · View at Scopus
  20. X. Wang, Y. Li, J. Xiong, and C. Wen, “Porous TiNbZr alloy scaffolds for biomedical applications,” Acta Biomaterialia, vol. 5, no. 9, pp. 3616–3624, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. V. G. DeGiorgi and M. A. Qidwai, “A computational mesoscale evaluation of material characteristics of porous shape memory alloys,” Smart Materials and Structures, vol. 11, no. 3, pp. 435–443, 2002. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Panico and L. C. Brinson, “Computational modeling of porous shape memory alloys,” International Journal of Solids and Structures, vol. 45, no. 21, pp. 5613–5626, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. W. Pompe, H. Worch, M. Epple et al., “Functionally graded materials for biomedical applications,” Materials Science and Engineering A, vol. 362, no. 1-2, pp. 40–60, 2003. View at Publisher · View at Google Scholar · View at Scopus
  24. H. Shen and L. C. Brinson, “Finite element modeling of porous titanium,” International Journal of Solids and Structures, vol. 44, no. 1, pp. 320–335, 2007. View at Publisher · View at Google Scholar · View at Scopus