Thermal Buckling Analysis of SMA Fiber-Reinforced Composite Plates Using Layerwise Model
Publication: Journal of Aerospace Engineering
Volume 22, Issue 4
Abstract
Thermal buckling analysis of laminated smart composite plates subjected to uniform temperature distribution has been presented. Shape memory alloy (SMA) fibers whose material properties depend on temperature have been used as a smart material. A three-dimensional layerwise plate model has been employed in developing the system equations using variational approach. Finite-element method has been adopted for discretization of the laminate. Lagrangian interpolation functions have been used to approximate the displacement components along the thickness as well as in the in-plane direction. The actual variation of prebuckling stresses has been accounted for in the derivation of the geometric stiffness matrix of the laminates. An incremental load technique has been used in the analysis to take into account the nonlinearity in the material properties of the SMA arising due to their temperature dependence. The effects of thickness ratio, orthotropic ratio, fiber orientation, aspect ratio, stacking sequence and various boundary conditions on the critical buckling temperature have been examined in details. The results have been validated with those available in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
References
Barbero, E. J., Telpy, J. L., and Reddy, J. N. (1990). “An accurate determination of stresses in thick laminates using a generalized plate theory.” Int. J. Numer. Methods Eng., 29(1), 1–14.
Brinson, L. C., and Lammering, R. (1993). “Finite-element analysis of the behaviour of shape memory alloys and their applications.” Int. J. Solids Struct., 30(23), 3261–3280.
Chandrashekhara, K. (1992). “Thermal buckling of laminated plates using a shear flexible finite element.” Finite Elem. Anal. Des., 12(1), 51–61.
Chang, J. S., and Leu, S. Y. (1991). “Thermal buckling analysis of antisymmetric angle-ply laminates based on a higher-order displacement field.” Compos. Sci. Technol., 41(2), 109–128.
Chang, J. S., and Shiao, F. J. (1990). “Thermal buckling analysis of isotropic and composite plates with a hole.” J. Therm. Stresses, 13(3), 315–332.
Cook, R. D. (2003). Concepts and applications of finite-element analysis, Wiley, New York.
Jones, R. M. (1975). Mechanics of composite materials, McGraw-Hill, New York.
Lee, J. (1997). “Thermally induced buckling of laminated composites by a layerwise theory.” Comput. Struct., 65(6), 917–922.
Lee, K. H., Senthilnathan, N. R., Lim, S. P., and Chow, S. T. (1990). “An improved zig-zag model for the bending of laminated composite plates.” Compos. Struct., 15, 137–148.
Matsunaga, H. (2004). “A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings.” Compos. Struct., 64(2), 161–177.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexible motions of isotropic, elastic plates.” J. Appl. Mech., 18, 31–38.
Pandya, B. N., and Kant, T. (1988). “Finite-element analysis of laminated composite plates using a Higher-order displacement model.” Compos. Sci. Technol., 32(2), 137–155.
Park, J. S., Kim, J. H., and Moon, S. H. (2004). “Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers.” Compos. Struct., 63(2), 179–188.
Prabhu, M. R., and Dhanaraj, R. (1994). “Thermal buckling of laminated composite plates.” Comput. Struc., 53(5), 1193–1204.
Reddy, J. N. (1984). “A simple higher-order theory for laminated composite plates.” ASME J. Appl. Mech., 51(4), 745–752.
Reddy, J. N. (1989). “On refined computational models of composite laminates.” Int. J. Numer. Methods Eng., 27(2), 361–382.
Reddy, J. N. (1997). Mechanics of laminated composite plates and shells, CRC, Boca Raton, Fla.
Reddy, J. N. (2003). An introduction to finite-element method, McGraw-Hill, New York.
Reddy, J. N., Barbero, E. J., and Telpy, J. L. (1989). “A plate bending element based on a generalized laminate plate theory.” Int. J. Numer. Methods Eng., 28(10), 2275–2292.
Robbins, D. H., and Reddy, J. N. (1993). “Modeling of thick composites using a layerwise laminate theory.” Int. J. Numer. Methods Eng., 36(4), 655–677.
Rogers, C. A., Liang, C., and Jia, J. (1991). “Structural modification of simply-supported laminated plates using embedded shape memory alloy fibers.” Comput. Struct., 38(5–6), 569–580.
Roh, J. H., Oh, I. K., Yang, S. M., Han, J. H., and Lee, I. (2004). “Thermal post-buckling analysis of shape memory alloy hybrid composite shell panels.” Smart Mater. Struct., 13(6), 1337–1344.
Tauchert, T. R. (1987). “Thermal buckling of thick antisymmetric angle-ply lamiantes.” J. Therm. Stresses, 10(2), 113–124.
Thangaratnam, K., Palaninathan, R., and Ramachandran, J. (1989). “Thermal buckling of composite laminated plates.” Comput. Struc., 32(5), 1117–1124.
Turner, T. L., Zhong, Z. W., and Mei, C. (1994). “Finite-element analysis of the random response suppression of composite panels at elevated temperature using shape memory alloy fibers.” Proc., AIAA/ASME/ASCE/AHS/ASC 35th Structures, Structural Dynamics and Materials (SDM) Conf., Hilton Head, S.C., Part I, 136–146.
Zhang, R., Ni, Q., Natsuki, T., and Iwamoto, M. (2007). “Mechanical properties of composites filled with SMA particles and short fibers.” Compos. Struct., 79(1), 90–96.
Zhong, Z. W., Pates, C. S., and Mei, C. S. (1994). “Buckling and postbuckling of shape memory alloy fiber-reinforced composite plates.” Symp., Buckling and Postbuckling of Composite Structures, ASME Winter Annual Meeting, Chicago, ASME, AD-Vol. 293, 115–132.
Zienkiewicz, O. C., and Taylor, R. L. (2000). The finite-element method, Butterworth Heinemann, London.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 22 • Issue 4 • October 2009
Pages: 342 - 353
Copyright
© 2009 ASCE.
History
Received: May 16, 2007
Accepted: Jun 11, 2008
Published online: Sep 15, 2009
Published in print: Oct 2009
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.