Goodman Diagram Via Vibration-Based Fatigue Testing

[+] Author and Article Information
Tommy J. George, Charles J. Cross, Jeffrey Calcaterra

Air Force Research Laboratory, Wright-Patterson AFB, OH 45433

M.-H. Herman Shen, Onome Scott-Emuakpor

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

Theodore Nicholas

Air Force Institute of Technology, Wright-Patterson AFB, OH 45433

J. Eng. Mater. Technol 127(1), 58-64 (Feb 22, 2005) (7 pages) doi:10.1115/1.1836791 History: Received January 01, 2003; Revised September 14, 2004; Online February 22, 2005
Copyright © 2005 by ASME
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Goodman, J., 1899, Mechanics Applied to Engineering, Longmans, Green, and Co., London.
Nicholas,  T., and Zuiker,  J. R., 1996, “On the Use of the Goodman Diagram for High Cycle Fatigue Design,” Int. J. Fract., 80, pp. 219–235.
Nicholas, T., and Maxwell, D. C., 2002, “Mean Stress Effects on the High Cycle Fatigue Limit Stress in Ti-6Al-4V,” Fatigue and Fracture Mechanics: ASTM STP 1417, Vol. 33, W. G. Reuter and R. S. Piascik, Eds., American Society for Testing and Materials, West Conshohocken, PA, pp. 476–492.
George,  T. J., Seidt,  J., Shen,  M.-H. H., Nicholas,  T., and Cross,  C. J., 2004, “Development of a Novel Vibration-Based Fatigue Testing Methodology,” Int. J. Fatigue, 26, No. 5, pp. 477–486.
Seidt, J., 2001, “Development of a Novel Vibration Based High Cycle Fatigue Test Method,” M. S. thesis The Ohio State University.
Maxwell, D. C., and Nicholas, T., 1998, “A Rapid Method for Generation of a Haigh Diagram for High Cycle Fatigue,” Fatigue and Fracture Mechanics: ASTM STP 1321, Vol. 29, pp. 626–641.
Morrissey,  R. J., Golden,  P., and Nicholas,  T., 2003, “The Effects of Stress Transients on the HCF Endurance Limit,” Int. J. Fatigue, 25, Nos. 9–11, pp. 1125–1133.
Lanning,  D. B., Nicholas,  T., and Haritos,  G. K., 2002, “Effect of Plastic Prestrain on High Cycle Fatigue of Ti-6Al-4V,” Mech. Mater., 34, pp. 127–134.


Grahic Jump Location
Residual y-direction plastic strain
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Diagram of strain gage placement
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Load–strain history for 6061-T6 specimen #2
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Total, elastic, plastic strains, and residual stress
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Goodman diagram for 6061-T6 for 106 cycles from vibration-based (bending) test data. (Note: the Goodman line endpoint is the UTS from an axial tensile test.)
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Typical Goodman (or Haigh) diagram 3. The straight line represents a modified Goodman diagram. The modified Jasper equation is also shown.
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FEM results for square, steel plate geometry
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Maximum load y-direction total strain
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Residual y-direction total strain
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Residual y-direction stress
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Residual y-direction elastic strain



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