Generalized, Three-Dimensional Definition, Description, and Derived Limits of the Triaxial Failure of Metals
Publication: Journal of Aerospace Engineering
Volume 22, Issue 3
Abstract
Metal failure in many applications, such as ballistic impact, containment, shielding, metal forming, and crashworthiness, occurs while the material is in a three-dimensional state of stress. Many previous definitions of triaxiality use two invariants to define the relative stress state in a virtual element, leading to a characterization that can be better thought of as biaxial. In this paper, an additional parameter based upon the third stress invariant is defined, which extends the characterization of the state of stress to three dimensions and to true triaxiality. The relation of the two parameters is explored and limits are found in the failure surface, which is used in defining the critical failure regions. Standard tests are examined to determine if they can provide enough data to construct these regions of interest and new tests are proposed, which envelope the limits and thus define this failure surface.
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Acknowledgments
The writers wish to thank William Emmerling and Donald Altobelli of the Federal Aviation Administration’s Aircraft Catastrophic Failure Prevention Research Program, and Hughes Technical Center, Atlantic City, N.J., for their support and guidance. The efforts of Paul DuBois, Murat Buyuk, and Steve Kan were funded by a Federal Aviation Administration grant to the National Crash Analysis Center, George Washington University, Washington, D.C.
References
Atkins, A. G. (1997). “Fracture mechanics and metal forming: Damage mechanics and the local approach of yesterday and today.” Fracture research in retrospect, An Anniversary Volume in Honor of George R. Irwin’s 90th Birthday, Balkema, Rotterdam, The Netherlands.
Bandstra, J. P., and Koss, D. A. (2004). “A simulation of growth and coalescence of voids during ductile fracture.” Mater. Sci. Eng., A, 387, 399–403.
Hallquist, J. (2007). LS-DYNA user’s manual, Version 971, Livermore Software Technology Corporation, Livermore, Calif.
Livermore Software Technology Corporation (LSTC). (2008). “Quality assurance effort and guidelines, QA models.” Aerospace FEA with LS-DYNA, ⟨www.lstc.com/aeroqa⟩.
McClintock, F. A. (1968). “A criterion for ductile fracture by growth of holes.” ASME Trans. J. Appl. Mech., 35, 363–71.
McClintock, F. A. (2002). “Slip line fracture mechanics: A new regime of fracture mechanics.” Fatigue and fracture mechanics, Vol. 33, ASTM STP-1417, West Conshohocken, Pa.
Rice, J. R., and Tracey, D. M. (1969). “On the ductile enlargement of voids in triaxial stress fields.” J. Mech. Phys. Solids, 17, 201–17.
Saada, A. S. (1993). Elasticity: Theory and applications, Krieger, Malabar, Fla.
Wierzbicki, T., Bao, Y., Lee, Y., and Bai, Y. (2005). “Calibration and evaluation of seven fracture models.” Int. J. Mech. Sci., 47, 719–743.
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© 2009 ASCE.
History
Received: Aug 8, 2008
Accepted: Jan 22, 2009
Published online: Jun 15, 2009
Published in print: Jul 2009
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