Research Papers

2013 Timoshenko Medal Award Paper—Completion and Closure on Failure Criteria for Unidirectional Fiber Composite Materials

[+] Author and Article Information
Richard M. Christensen

Professor Research Emeritus
Department of Aeronautics and Astronautics,
Stanford University,
Stanford, CA 94305
e-mail: christensen@stanford.edu

Manuscript received July 18, 2013; final manuscript received July 22, 2013; accepted manuscript posted August 2, 2013; published online September 16, 2013. Editor: Yonggang Huang.

J. Appl. Mech 81(1), 011011 (Sep 16, 2013) (6 pages) Paper No: JAM-13-1296; doi: 10.1115/1.4025177 History: Received July 18, 2013; Revised July 22, 2013; Accepted August 02, 2013

Building upon previous work, the failure criterion for unidirectional fiber composite materials is examined using a sensitivity analysis as applied to its transverse, matrix controlled failure properties. A new and general relationship is found between these three properties thereby reducing the total number of independent properties needed to calibrate the theory to five. This completes and closes the development of failure criteria for unidirectional fiber composites by the polynomial invariants method. A broad but detailed evaluation of the resulting failure criteria is given. Future applications for these new failure criteria are discussed.

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Hashin, Z., 1980, “Failure Criteria for Unidirectional Fiber Composites,” ASME J. Appl. Mech., 47, pp. 329–334. [CrossRef]
Kaddour, A. S., and Hinton, M. J., 2013, “Maturity of 3D Failure Criteria for Fibre-Reinforced Composites: Comparison Between Theories and Experiments: Of WWFE-II,” J. Compos. Mater., 47, pp. 925–966. [CrossRef]
Christensen, R. M., 2013, “The World Wide Failure Exercise II, Examination of Results,” J. Reinf. Plast. Compos., (in press).
Christensen, R. M., 2013, The Theory of Materials Failure, Oxford University Press, Oxford, UK.


Grahic Jump Location
Fig. 1

Failure envelopes from Eq. (8)



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