A method is presented for calculating the failure strengths and failure modes of composite laminates containing a pin loaded hole for materials exhibiting nonlinearly elastic behavior. The analysis follows that proposed by Chang, Scott, and Springer for linearly elastic composites with two notable exceptions: a) the shear stress-shear strain relation in each ply is taken to be nonlinear with the form proposed by Hahn and Tsai, and b) the Yamada-Sun failure criterion is modified to include nonlinear effects. Numerical results, generated using a nonlinear finite element scheme, were compared to data. These comparisons show that for laminates exhibiting nonlinear behavior the present analysis provides the failure strengths and failure modes more accurately than the previous method employing a linear stress-strain analysis.
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References
1.
Chang, F.K., Scott, R.A., Springer, G.S., "Strength of Mechanically Fastened Composite Joints,"J. of Composite Materials, Vol. 16, pp. 470-493 (1982).
Chang, F.K., Scott, R.A., Springer, G.S., "Failure of Composite Laminates Containing Pin Loaded Holes—Method of Solution,"J. of Composite Materials , Vol. 18, pp. 255-278 (1984).
4.
Chang, F.K., Scott, R.A., Springer, G.S., "Strength of Bolted Joints in Laminated Composites,"Air Force Wright Aeronautical Laboratories Technical Report AFWAL-TR-84-4029 (March 1984).
5.
Chang, F.K., Scott, R.A., Springer, G.S., "Design of Composite Laminates Containing Pin Loaded Holes,"J. of Composite Materials, Vol. 18, pp. 279-289( 1984).
6.
Chang, F.K., Scott, R.A., Springer, G.S., "The Effect of Laminate Configuration on Characteristic Lengths and Rail Shear Strength,"J. of Composite Materials , Vol. 18, pp. 290-296(1984).
7.
Waszczak, J.P. , and Cruse, T.A., "Failure Mode and Strength Predictions of Anisotropic Bolt Bearing Specimens,"J. of Composite Materials, Vol. 5, pp. 421-425 (1971).
8.
Oplinger, D.W. , and Gandhi, D.R., "Stresses in Mechanically Fastened Orthotropic Laminates," Proceedings of the 2nd Conference on Fibrous Composites in Flight Vehicle Design, pp. 813-834 (May 1974 ).
9.
Oplinger, D.W. , and Gandhi, D.R., "Analytical Studies of Structural Performance in Mechanically Fastened Fiber-Reinforced Plates," in Proceedings of the Army Syposium on Solid Mechanics, 1974
10.
: The Role of Mechanics in Design Structural Joints, Army Materials and Mechanics Research CenterAMMRC MS74-8, pp. 211-242 (1974).
11.
Agarwal, B.L. , "Static Strength Prediction of Bolted Joint in Composite Material,"AIAA Journal, Vol. 18, pp. 1345-1375 (1980).
12.
Soni, S.R., "Failure Analysis of Composite Laminates with a Fastened Hole," Joining of Composite Materials, ASTM STP 749, K.T. Kedward, Ed., Am. Soc. of Testing and Materials, pp. 145-164 (1981).
13.
Garbo, S.P. , and Ogonowski, J.M., "Effect of Variances and Manufacturing Tolerances on the Design Strength and Life of Mechanically Fastened Composite Joints,"Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Technical Report AFWAL-TR-81-3041 (April 1981 ).
14.
York, J.L., Wilson, D.W., and Pipes, R.B., "Analysis of Tension Failure Mode in Composite Bolted Joints,"J. of Reinforced Plastics and Composites, Vol. 1, pp. 141-153 (1982).
15.
Wilson, D.W. , and Pipes, R.B., "Analysis of the Shearout Failure Mode in Composite Bolted Joints," Proceedings of the 1st International Conference on Composite Structures, Paisley College of Technology, Scotland, pp. 34-49 (1981).
16.
Collings, T.A. , "On the Bearing Strengths of CFRP Laminates,"Composites, Vol. 13, pp. 242-252 (1982).
17.
Hahn, H.T., and Tsai, S.W., "Nonlinear Elastic Behavior of Unidirectional Composite Laminate,"J. of Composite Materials, Vol. 7, pp. 102-110 (1973).
18.
Hahn, H.T., "Nonlinear Behavior of Laminated Composites,"J. of Composite Materials, Vol. 7, pp. 257-271 (1973).
19.
Sandhu, R.S., "Nonlinear Response of Unidirectional and Angle-Ply Laminates," AIAA paper no. 74-380, presented at 15th AIAA—ASME Structural Dynamics and Materials Conference, Las Vegas, Nevada ( 1974).
Amijima, S. , and Adachi, T., "Nonlinear Stress-Strain Response of Laminated Composites,"J. of Composite Materials , Vol. 13, pp. 206-218 (1979).
22.
Sims, D.F., "In-Plane Shear-Strain Response of Unidirectional Composite Materials,"J. of Composite Materials, Vol. 7, pp. 124-130 (1973).
23.
Tsai, S.W., "Strength Characteristics of Composite Materials," NASA CR-224 ( 1965).
24.
Rotem, A., and Hashin, Z., "Failure Modes of Angle Ply Laminates,"J. of Composite Materials, Vol. 9, pp. 191-214 (1975).
25.
Tsai, S.W., and Hahn, H.T., "Failure Analysis of Composite Materials,"presented as a symposium at 1975 ASME Winter Annual Meeting, Houston, Texas (1975).
26.
Jones, R.M., Mechanics of Composite Materials, Scripta Book Company, Washington, D.C. (1975).
27.
Gareia, R., Weisshaar, T.A., and McWithney, R.R., "An Experimental and Analytical Investigation of the Rail Shear-Test Method as Applied to Composite Materials,"Experimental Mechanics , Vol. 20, pp. 273-279 (1980).
28.
Yamada, S.E. , and Sun, C.T., "Analysis of Laminate Strength and its Distribution,"J. of Composite Materials , Vol. 12, pp. 275-284 (1978).
