Acta Mechanica Solida Sinica

, Volume 19, Issue 3, pp 189–195 | Cite as

Meso-mechanical analysis of shape memory alloy reinforced smart structure with damage

Article

Abstract

The mechanical behaviors of shape memory alloy (SMA) wires reinforced smart structure with damage were analyzed through the variational principle, a governing equation for the structure was derived, mathematical expressions for the meso-displacement field, stress-strain field of typical element with damage were presented, and a failure criterion for interface failure between SMA wires and matrix was established under two kinds of actuation which are dead-load and temperature, where the temperature is included in effective free restoring strain. In addition, there are some other composing factors in the failure criterion such as the interface properties, dynamical properties of SMA, initial debonding length L - l etc. The results are significant to understand structural strength self-adapted control and failure mechanism of SMA wires reinforced smart structure with damage.

Key words

smart structures damage shape memory alloy failure meso-mechanical analysis variational principle 

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References

  1. [1]
    Liberatore, S. and Carman, G.P., Damage detection of structures based on spectral methods using piezoelectric materials, Structural Health Monitoring, Vol.1, 2003, 606–614.Google Scholar
  2. [2]
    Dolye, C., Staveley, C. and Henderson, P., Structural health monitoring using optical fibre strain sensing systems, Structural Health Monitoring, Vol.1, 2003, 944–951.Google Scholar
  3. [3]
    Park, G., Inman, D.J. and Farrar, C.R., Recent studies in piezoelectric impedance-based structural health monitoring, Structural Health Monitoring, Vol.1, 2003, 1423–1430.Google Scholar
  4. [4]
    Tao, B.Q., Smart Materials and Structures, Beijing: Defense Industry Publisher, 1997 (in Chinese).Google Scholar
  5. [5]
    Yasubumi, F., Design and material evaluation of shape memory composites, Journal of Intelligent Material Systems and Structures, Vol.7, 1996, 71–77.CrossRefGoogle Scholar
  6. [6]
    Stalmans, R., Delaey, L. and Van Humbeeck, J., Modeling of adaptive composite materials with embedded shape memory alloy wires, Materials Research Society Symposium Proceedings, Vol.459, 1996, 119–130.CrossRefGoogle Scholar
  7. [7]
    Wei, Z.G., Sandstrom, R. and Miyazaki, S., Shape memory materials and hybrid composites for smart systems, Part II. Shape-memory Hybrid Composites, Journal of Materials Science, Vol.33, No.15, 1998, 3763–3783.CrossRefGoogle Scholar
  8. [8]
    Song, G.Q., Sun, Q.P. and Cherkaoui, M., Role of microstructure in the thermomechanical behaviour of SMA composites, Transactions of the ASME, Vol.121, No.1, 1999, 86–92.Google Scholar
  9. [9]
    Birman, V., Review of mechanics of shape memory alloy structures, Applied Mechanics Review, Vol.50, No.11, 1997, 629–645.CrossRefGoogle Scholar
  10. [10]
    Boyd, G. and Lagoudas, D.C., A thermodynamical constitutive model for shape memory materials, Part II. The SMA composite material, Int. J. Plasticity, Vol.12, No.7, 1996, 843–873.CrossRefGoogle Scholar
  11. [11]
    Bo, Z. and Lagoudas, D.C., Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: Theoretical derivations, International Journal of Engineering Science, Vol.37, No.9, 1999, 1089–1140.MathSciNetCrossRefGoogle Scholar
  12. [12]
    Hu, Z.L., Xiong, K. and Wang, X.W., One-dimensional incremental constitutive relation of SMA fiber reinforced smart composites with damages, Transactions of Nanjing University of Aeronautics and Astronautics, Vol.35, No.5, 2003, 465–473 (in Chinese).Google Scholar
  13. [13]
    Hu, Z.L., Properties characterization and meso-mechanical analysis of smart structures with damages, Dissertation of Nanjing University of Aeronautics and Astronautics, 2003 (in Chinese).Google Scholar
  14. [14]
    Li, J.Y., Finite Element Method, Beijing: Publisher of Beijing University of Posts and Telecommunications, 2000 (in Chinese).Google Scholar
  15. [15]
    Hu, H.C., Variational Principle and Application of Elasticity, Beijing: Science Publisher, 1982 (in Chinese).Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Zili Hu
    • 1
  1. 1.Institute of Unmanned AircraftNanjing University of Aeronautics and AstronauticsNanjingChina

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