Postbuckling Behavior of 3D Braided Rectangular Plates Subjected to Biaxial Compression
Publication: Journal of Aerospace Engineering
Volume 25, Issue 4
Abstract
Postbuckling behavior of three-dimensional (3D) braided rectangular plates subjected to biaxial compression is presented. The 3D braided composite may be treated as a cell system, and the geometry of each cell is deeply dependent on its position in the cross section of the plate. Based on Reddy’s higher-order shear deformation plate theory and general von Kármán–type equations that include the initial geometric imperfection of the plate, a perturbation technique is employed to determine postbuckling equilibrium paths of 3D braided rectangular plates. The results reveal that the geometric and physical properties have a significant effect on the postbuckling behavior of braided composite plates.
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Acknowledgments
Recognition and thanks are given to Professor H.-S. Shen, who guided the first author through the first several years of his doctoral work and helped to initiate this research. The work described in this paper is supported in part by grants from the National Natural Science Foundation of China (Grant No. 50909059 and Grant No. 51075267). The authors are grateful for this financial support.
References
Aboudi, J. (2004). “The generalized method of cells and high-fidelity generalized method of cells micromechanical models—A review.” Mech. Adv. Mater. Struct., 11(4-5), 329–366.
Adams, D. F., and Miller, A. K. (1977). “Hygrothermal microstresses in a unidirectional composite exhibiting inelastic materials behavior.” J. Compos. Mater., 11(3), 285–299.
Bhimaraddi, A. (1992). “Buckling and post-buckling behavior of laminated plates using the generalized nonlinear formulation.” Int. J. Mech. Sci., 34(9), 703–715.
Bigaud, D., Dreano, L., and Hamelin, P. (2005). “Models of interactions between process, microstructure and mechanical properties of composite materials—A study of the interlock layer-to-layer braiding technique.” Compos. Struct., 67(1), 99–114.
Carrera, E. (1993). “Nonlinear response of asymmetrically laminated plates in cylindrical bending.” AIAA J., 31(7), 1353–1357.
Carrera, E. (1998). “Evaluation of layer-wise mixed theories for laminated plates analysis.” AIAA J., 36(5), 830–839.
Carrera, E. (2000). “Single- vs multilayer plate modelings on the basis of Reissner’s mixed theorem.” AIAA J., 38(2), 342–352.
Carrera, E. (2001). “Developments, ideas and evaluations based upon the Reissner’s mixed variational theorem in the modeling of multilayered plates and shells.” Appl. Mech. Rev., 54(4), 301–329.
Carrera, E. (2003). “Historical review of Zig-Zag theories for multilayered plates and shells.” Appl. Mech. Rev., 56(3), 287–308.
Carrera, E., and Kroeplin, B. (1997). “Zigzag and interlaminar equilibria effects in large deflection and postbuckling analysis of multilayered plates.” Mech. Compos. Mater. Struct., 4(1), 69–94.
Carrera, E., and Parish, H. (1997). “Evaluation of geometrical nonlinear effects of thin and moderately thick multilayered composite shells.” Compos. Struct., 40(1), 11–24.
Chen, L., Tao, X. M., and Choy, C. L. (1999a). “Mechanical analysis of 3-D composites by the finite multiphase element method.” Compos. Sci. Technol., 59(16), 2383–2391.
Chen, L. W., and Doong, J. L. (1983). “Postbuckling behavior of a thick plate.” AIAA J., 21(8), 1157–1161.
Chen, Z. R., Zhu, D. C., Lu, M., and Ye, L. (1999b). “Evaluation of elastic properties of 3-D (4-step) regular braided composites by a homogenisation method.” Compos. Struct., 47(1-4), 477–482.
Gong, J. C., and Sankar, B. V. (1991). “Impact properties of three-dimensional braided graphite/epoxy composites.” J. Compos. Mater., 25(6), 715–731.
Islam, M. R., Sjoind, S. G., and Paramil, A. (2001). “Finite element analysis of linear thermal expansion coefficients of unidirectional cracked composites.” J. Compos. Mater., 35(19), 1762–1776.
Kalidindi, S. R., and Abusafieh, A. (1996). “Longitudinal and transverse moduli and strengths of low angle 3-D braided composites.” J. Compos. Mater., 30(8), 885–905.
Kim, S. E., Thai, H. T., and Lee, J. (2009). “Buckling analysis of plates using the two variable refined plate theory.” Thin-walled Struct., 47(4), 455–467.
Levinson, M. (1980). “An accurate simple theory of the statics and dynamics of elastic plates.” Mech. Res. Commun., 7(6), 343–350.
Librescu, L., and Stein, M. (1992). “Postbuckling of shear deformable composite flat panels taking into account geometrical imperfections.” AIAA J., 30(5), 1352–1360.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates.” J. Appl. Mech., 18(1), 31–38.
Mouritz, A. P., Bannister, M. K., Falzon, P. J., and Leong, K. H. (1999). “Review of applications for advanced three-dimensional fibre textile composites.” Composites: Part A, 30(12), 1445–1461.
Reddy, J. N. (1984). “A refined nonlinear theory of plates with transverse shear deformation.” Int. J. Solids Struct., 20(9-10), 881–896.
Reddy, J. N. (1997). Mechanics of laminated composite plates: Theory and analysis, CRC Press, Boca Raton, FL.
Reddy, J. N., and Khdeir, A. A. (1989). “Buckling and vibration of laminated composite plates using various plate theories.” AIAA J., 27(12), 1808–1817.
Reissner, E. (1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech., 12(2), 69–77.
Shen, H. S. (1997). “Kármán-type equation for a higher-order shear deformation plate theory and its use in the postbuckling analysis.” Appl. Math. Mech., 18(12), 1137–1152.
Shen, H. S. (2009). Functionally graded materials: Nonlinear analysis of plates and shells, CRC Press, Boca Raton, FL.
Shimpi, R. P., and Patel, H. G. (2006). “A two variable refined plate theory for orthotropic plate analysis.” Int. J. Solids Struct., 43(22-23), 6783–6799.
Tang, Z. X., and Postle, R. (2001). “Mechanics of three-dimensional braided structures for composite materials—Part II: Prediction of the elastic moduli.” Compos. Struct., 51(4), 451–457.
Xiang, Y., Kitipornchaim, S., and Liew, K. M. (1996). “Buckling and vibration of thick laminates on Pasternak foundations.” J. Eng. Mech., 122(1), 54–63.
Yang, J. M., Ma, C. L., and Chou, T. W. (1986). “Fibre inclination model of three dimensional textile structural composites.” J. Compos. Mater., 20(5), 472–484.
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Published In
Journal of Aerospace Engineering
Volume 25 • Issue 4 • October 2012
Pages: 680 - 690
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Apr 7, 2011
Accepted: Sep 16, 2011
Published online: Sep 19, 2011
Published in print: Oct 1, 2012
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