JEC COMPOSITES MAGAZINE - Issue #71 - March 2012 - 90

failure
, i.e., the ratio of the standard deviation of an experimentallymeasured quantity to its mean, is less than 10%. In our example given in Table2, we observe that both conditions were satisfied. In cases where the coefficient of variation is between 10% and 15%, a nonlinear correction term is available [6]. Within this simple and quantifiable limitation, we conclude that we have introduced a new methodology of calculating the A- and B-basis design allowables with a specific failure criterion of a composite material structure. n
More information: fong@nist.gov References
[1] Hinton, M. J., Kaddour, A. S., and Soden, P. D., 2002, “A Comparison of the Predictive Capabilities of Current Failure Theories for Composite Laminates, Judged Against Experimental Evidence,” Composites Sci. and Technology, 62: 17251797 (2002). [2] [3] [4] [5] [6] [7] Christensen, R. M., 2008, “III. Failure Criteria for Anisotropic Fiber Composite Materials,” January 27, 2008, www.FailureCriteria.com (2008). Tsai, S. W., and Wu, E. M., 1971, “A General Theory of Strength for Anisotropic Materials,” J. Comp. Mater., 5:58-80 (1971). Hashin, Z., 1980, “Failure Criteria for Unidirectional Fiber Composites,” J. Appl. Mech., 47: 329-334 (1980). Christensen, R. M., 1997, “Stress Based Yield/Failure Criteria for Fiber Composites,” Int. J. Solids Structures, 34:529-543 (1997). Ku, H. H., 1966, «Notes on the use of propagation of error formulas,» NBS Journal of Research, 70C(4): 263-273 (1966). Freiman, S. W., and Fong, J. T., 2009, “Predicting the Reliability of tion and Control of Interfaces (ICCCI) for High Quality Advanced Materials, Osaka, Japan, Aug. 2009, K. Ewsuk, et al, Eds, Paper ID 121 (2009). [8] Melo, J. D. D., and Fong, J. T., 2010, «A New Approach to Creating [21] Composite Materials Elastic Property Database with Uncertainty Estimation Using a Combination of Mechanical and Thermal Expansion Tests,» Proc. of the 2010 ASME Pressure Vessels and Piping Division Conference, July 18-22, 2010, Bellevue, WA, Paper No. PVP2010-26144 (2010). [9] [10] Proschan, F., 1953, «Confidence and Tolerance Intervals for the Normal Distribution,» J. Am. Stat. Assoc., Vol. 48, pp. 550-564 (1953). Natrella, M. G., 1963, Experimental Statistics, NBS Handbook 91, 1963 Washington, DC (1966). [11] [12] [13] Beyer, W. H., ed., 1966, CRC Handbook of Tables for Probability and Statistics. Cleveland, OH: Chemical Rubber Co. (1966). Nelson, P. R., Coffin, M., and Copeland, K. A. F., 2003, Introductory Statistics for Engineering Experimentation. Elsevier (2003). MIL-HDBK-5 Rev. J, Jan. 2003, U.S. Department of Defense Handbook: Metallic Materials and Elements for Aerospace Vehicle Structures (31 Jan 2003) [S/S by MMPDS-01 Available at: http://snebulos.mit.edu/projects/reference/MIL-STD/ MIL-HDBK-5J.pdf (2003). [14] MIL-HDBK-17/1 Rev. F, June 2002, (Vol. 1 of 5), U.S. Department of Guidelines for Characterization of Structural Materials (17 Jun 2002), Chapter 8 – Statistical Methods, pp. 8-1 to 8-112. Available at: http://snebulos.mit.edu/projects/ Defense Handbook, Composite Materials Handbook – Polymer Matrix Composites The views expressed in this presentation are strictly those of the author, and do not necessarily reflect those of the National Institute of Standards and Technology (NIST). Any commercial product mentioned is for information only; it does not imply recommendation or endorsement by NIST nor does it imply that the products mentioned are necessarily the best available for the purpose. [22] Brittle Materials,” Proceedings of the Third International Conf. on the Characteriza[20] [19] [18] reference/MIL-STD/MIL-HDBK-17-1F.pdf (2002). [15] Tomblin, J., and Seneviratne, W., 2009, “Laminate Statistical Allowable Generation for Fiber-Reinforced Composite Materials: Lamina Variability Method,” U.S. Department of Transportation Report DOT/FAA/AR-06/53, January 2009. Available through the National Technical Information Service (NTIS), Springfield, VA 22161 (2009). [16] Vangel, M. G., 1995, “A User’s Guide to RECIPE: A FORTRAN Program for Determining One-Sided Tolerance Limits for Mixed Models with Two Components of Variance, Version 1.0,” U.S. National Institute of Standards & Technology (NIST) Statistical Engineering Division Report, July 15, 1995. Available through NIST, Gaithersburg, MD 20899-8980, http://www.itl.nist.gov/div898/ (1995). [17] Filliben, J. J., and Heckert, N. A., 2002, DATAPLOT: A Statistical Data Analysis Software System, A Public Domain Software by National Institute of Standards and Technology (NIST), Gaithersburg, MD 20899, http://www.itl.nist.gov/ div898/software/dataplot.html (2002). Croarkin, C., Guthrie, W., Heckert, N. A., Filliben, J. J., Tobias, P., Prins, J., Zey, C., Hembree, B., and Trutna, Editors, 2003, NIST/SEMATECH e-Handbook of Statistical Methods, Section 7.2.6.3 on “Tolerance intervals for a normal distribution.” http://www.itl.nist.gov/div898/handbook/, first issued on June 1, 2003, and last updated on July 18, 2006. Produced jointly by the Statistical Engineering Division of the National Institute of Standards and Technology, Gaithersburg, MD, and the Statistical Methods Group of SEMATECH, Austin, TX (2003). Chao, Y., Fong, J. T., and Lam, P. S., 2008, «A New Approach to Full-Scale Structures,» Proc. ASME PVP Conference, July 27-31, 2008, Chicago, IL, Paper No. PVP2008-61584, available from: http://www.asmeconferences.org/PVP08 (2008). Fong, J. T., Marcal, P. V., Hedden, O. F., Chao, Y. J., and Lam, P. S., «A Web-based Uncertainty Plug-In (WUPI) for Fatigue Life Prediction Based on NDE Data and Fracture Mechanics Analysis,» Proceedings of the ASME Pressure Vessels & Piping Division Conf., July 26-30, 2009, Prague, The Czech Republic, Paper No. PVP2009-77827, http://www.asmeconferences.org/PVP09 (2009). Freiman, S. W., and Fong, J. T., 2012, “Determining Mechanical Reliabi2nd edition, Elsevier, Amsterdam, The Netherlands (2012). Shah, P. D., Melo, J. D. D., and Cimini, C. A., 2009, “Generating Design site Materials (ICCM), 27-31 July, 2009, Edinburgh, U.K. (2009). Allowables for Smooth Specimens,” Proc. 17th International Conference on Compolity of Brittle Materials,” to appear as an invited chapter in Handbook of Ceramics, Assessing the Reliability of Applying Laboratory Fracture Toughness Test Data to

Acknowledgment
I wish to thank James Filliben, Alan Heckert, and Steve Freiman of the U.S. National Institute of Standards and Technology, Steve Tsai of Stanford University, and Daniel Melo of the Federal University of Rio Grande do Norte, Natal, Brazil, for their discussions, comments, and technical assistance during the course of this investigation.

edition (reprinted October 1966 with corrections). U. S. Government Printing Office,

Disclaimer

90 jec composites magazine / No71 March 2012
http://snebulos.mit.edu/projects/reference/MIL-STD/MIL-HDBK-17-1F.pdf http://www.itl.nist.gov/div898/ http://www.itl.nist.gov/ http://www.itl.nist.gov/div898/handbook/ http://www.FailureCriteria.com http://www.asmeconferences.org/PVP08 http://www.asmeconferences.org/PVP09 http://snebulos.mit.edu/projects/reference/MIL-STD/MIL-HDBK-5J.pdf%20(2003) http://snebulos.mit.edu/projects/reference/MIL-STD/MIL-HDBK-17-1F.pdf
JEC COMPOSITES MAGAZINE - Issue #71 - March 2012

Table of Contents for the Digital Edition of JEC COMPOSITES MAGAZINE - Issue #71 - March 2012
