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.
Similar content being viewed by others
References
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.
Dolye, C., Staveley, C. and Henderson, P., Structural health monitoring using optical fibre strain sensing systems, Structural Health Monitoring, Vol.1, 2003, 944–951.
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.
Tao, B.Q., Smart Materials and Structures, Beijing: Defense Industry Publisher, 1997 (in Chinese).
Yasubumi, F., Design and material evaluation of shape memory composites, Journal of Intelligent Material Systems and Structures, Vol.7, 1996, 71–77.
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.
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.
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.
Birman, V., Review of mechanics of shape memory alloy structures, Applied Mechanics Review, Vol.50, No.11, 1997, 629–645.
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.
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.
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).
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).
Li, J.Y., Finite Element Method, Beijing: Publisher of Beijing University of Posts and Telecommunications, 2000 (in Chinese).
Hu, H.C., Variational Principle and Application of Elasticity, Beijing: Science Publisher, 1982 (in Chinese).
Author information
Authors and Affiliations
Additional information
Project partially supported by the Aeronautical Science Foundation of China (No. 05G52054).
Rights and permissions
About this article
Cite this article
Hu, Z. Meso-mechanical analysis of shape memory alloy reinforced smart structure with damage. Acta Mech. Solida Sin. 19, 189–195 (2006). https://doi.org/10.1007/s10338-006-0623-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10338-006-0623-7