The Interlaminar Stress of Laminated Composite under Uniform Axial Deformation

Chuijin Yang, Jubing Chen, Shexu Zhao

Beijing Institute of Mechanical Equipment, Beijing, China.
Shanghai Jiao Tong University, Shanghai, China.

DOI: 10.4236/mnsms.2013.32007                

Abstract

The interlaminar stresses are analyzed by combining the first shear theory with the layerwise theory method. And the plate subjected to a uniform axial strain is studied by the simplified displacement field. Using the simplified displacement field, the equations of finite element method is developed by the principle of virtual work. And the amount of calculation is reduced by using the linear element. Then, some numerical examples are given to verify the accuracy of the method and analyze the distribution of interlaminar stresses along y-axis and z-axis. The shapes of the stresses’ curves in the vicinity of the free edge are very different from the interior area. Moreover, the influence of the ply angle on the interlaminar stresses is analyzed for the plate [θ/-θ]_s. It can be found that the shapes of the stresses along z-axis are similar when the angle is different, while the values of the interlaminar stresses are changed apparently with the ply angle.

Keywords

Interlaminar Stresses; Finite Element Method; Laminated Composite Plate

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	S. B. Dong, K. S. Pister and R. L. Taylor, “On the Theory of Laminated Anisotropic Shells and Plates,” Journal of the Aeronautical Sciences, Vol. 29, No. 8, 1962, pp. 969-975.
[2]	E. Reissner and Y. Stavsky, “Bending and Stretching of Certain Types of Heterogeneous Aelotropic Elastic Plates,” Journal of Applied Mechanics, Vol. 28, No. 3, 1961, pp. 402-408. doi:10.1115/1.3641719
[3]	N. J. Pagano, “Stress Fields in Composite Laminates,” International Journal of Solids and Structures, Vol. 14, No. 4, 1978, pp. 385-400. doi:10.1016/0020-7683(78)90020-3
[4]	N. J. Pagano, “Free Dege Stress Fields in Composite Laminates,” International Journal of Solids and Structures, Vol. 14, No. 5, 1978, pp. 401-406. doi:10.1016/0020-7683(78)90021-5
[5]	C.-P. Wu and H.-C. Kuo, “An Interlaminar Stress Mixed Finite Element Method for the Analysis of Thick Laminated Composite Plates,” Composite Structures, Vol. 24, No. 1, 1993, pp. 29-42. doi:10.1016/0263-8223(93)90052-R
[6]	H. Matsunaga, “Interlaminar Stress Analysis of Laminated Composite Beams According to Global Higher-Order Deformation Theories,” Composite Structures, Vol. 55, No. 1, 2002, pp. 105-114. doi:10.1016/S0263-8223(01)00134-9
[7]	A. Nosier and A. Bahrami, “Interlaminar Stresses in Antisymmetric Angle-Ply Laminates,” Composite Structures, Vol. 78, No. 1, 2007, pp. 18-33. doi:10.1016/j.compstruct.2005.08.007
[8]	T. S. Plagianakos and D. A. Saravanos, “Higher-Order Layerwise Laminate Theory for the Prediction of Interlaminar Shear Stresses in Thick Composite and Sandwich Composite Plates,” Composite Structures, Vol. 87, No. 1, 2009, pp. 23-35. doi:10.1016/j.compstruct.2007.12.002
[9]	H. S. Kim, S. Y. Rhee and M. Cho, “Simple and Efficient Interlaminar Stresses Analysis of Composite Plates with Internal Ply-Drop,” Composite Structures, Vol. 84, No. 1, 2008, pp. 73-86. doi:10.1016/j.compstruct.2007.06.004
[10]	M. Amabili and J. N. Reddy, “A New Non-Linear Higher-Order Shear Deformation Theory Large Amplitude Vibrations of Laminated Doubly Curved Shells,” International Journal of Non-Linear Mechanics, Vol. 45, No. 4, 2010, pp. 409-418. doi:10.1016/j.ijnonlinmec.2009.12.013
[11]	A. K. Miri and A. Nosier, “Interlaminar stresses in Anti- symmetric Angle-Ply Cylindrical Shell Panels,” Composite Structures, Vol. 93, No. 2, 2011, pp. 419-429. doi:10.1016/j.compstruct.2010.08.038
[12]	X. H. Ren, W. J. Chen and Z. Wu, “A New Zig-Zag Theory and C0 Bending Element for Composite and Sandwich Plates,” Archive of Applied Mechanics, Vol. 81, No. 2, 2011, pp. 185-197. doi:10.1007/s00419-009-0404-0
[13]	J. L. Mantari, A. S. Oktem and C. Guedes Soares, “A New Higher Order Shear Deformation Theory for Sandwich and composite Laminated Plates,” Composites Part B: Engineering, Vol. 43, No. 3, 2012, pp. 1489-1499.
[14]	A. Nosier and M. Maleki, “Free-Edge Stresses in General Composite Plates,” International Journal of Mechanical Sciences, Vol. 50. No. 10-11, 2008, pp. 1435-1447. doi:10.1016/j.ijmecsci.2008.09.002
[15]	C.-F. Liu and H.-S. Jou, “A New Finite Element Formulation for Interlaminar Stress Analysis,” Computer and Structures, Vol. 48. No. 1, 1993, pp. 135-139.