Fatigue Crack Growth Rate of Metal by Plastic Energy Damage Accumulation Theory
Publication: Journal of Engineering Mechanics
Volume 120, Issue 4
Abstract
The fatigue crack growth phenomenon is analyzed by means of postulated damage accumulation theory herein. By considering the plastic component of integral as a damage factor, the proposed damage accumulation theory successfully leads to a simple formula for the fatigue crack growth rate. This formula covers all three regions of the fatigue crack growth rate and shows a high potential in future application to different groups of materials. This research yields the following results: (1) The crack growth rate is not simply a function of , but a function of average local yielding strength, fracture toughness, and amplitude of the applied effective stress intensity factor in regions II and III; (2) the behavior of the fatigue crack growth rate (FCGR) near the threshold value is found to be dominated by maximum value of applied effective stress intensity factor instead of its amplitude; (3) the onset instability value of is a specimen geometrical‐dependent parameter; and (4) the average yielding local strength has a significant influence on the threshold value, that cannot be ignored when one studies the problem of the crack growth properties in region II. Test data reported were compared with the proposed formula and were found to be in reasonably good agreement.
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References
1.
Bažant, Z. P. (1985). “Mechanics of fracture and progressive cracking in concrete structures,” Fracture Mechanics of Concrete, G. C. Sih and A. Ditommaso, eds., Martinus Nijhoff Publishers, The Hague, The Netherlands.
2.
Bement, A. L. Jr., Hoagland, R. G., and Smidt, F. A. Jr. (1971). Fracture mechanics and radiation effects, fracture, an advanced treatise. Liebowitz, ed., Volume III, Academic Press, New York, N.Y.
3.
Broek, D. (1986). Elementary engineering fracture mechanics, 4th Ed., Martinus Nijhoff Publishers, The Hague, The Netherlands.
4.
Broek, D., and Leis, B. N. (1981). “Similitude and anomalies in crack growth rate.” Material, experimentation, and design in fatigue, Sherratt and Stargen, eds., Westburg House.
5.
Carpinteri, A. (1986). Mechanical damage and crack growth in concrete, Martinus Nijhoff Publishers, The Hague, The Netherlands.
6.
Cooke, R. J., and Beever, C. J. (1974). “Slow fatigue crack propagation in pearlitie steels.” Mat. Sci. and Engrg., 13, 201.
7.
Davidson, D. L., and Lankford, J. (1983). Fatigue crack tip strain in 7075‐t6 aluminum alloy by stereo imaging and their use in crack growth method, ASTM STP 811, 71–399.
8.
Dugdale, D. S. (1960). “Yielding of steel sheet containing slits.” J. Mech. Phys. Solids, 8, 100–108.
9.
Ernst, H. A. (1989). “Further development on the modified ,” Nonlinear Fracture Mechanics: Volume II‐Elastic‐Plastic Fracture, ASTM STP 995, 306–319.
10.
Fine, M. E., and Davidson, D. L. (1983). “Quantitative measurement of energy associated with a moving fatigue crack.” Fatigue Mechanics in Quantitative Measurement of Physical Damage, ASTM STP 811, 350–370.
11.
Frost, E. N., Marsh, K. J., and Pook, P. L. (1974). Metal fatigue. Clarendon Press, Oxford, Great Britain.
12.
Griffith, A. A. (1920). “The phenomena of rupture and flaw in solids.” Trans., Royal Society of London, London, England, A‐22I.
13.
Head, A. K. (1956). “The propagation of fatigue cracks.” J. Appl. Mech., 407–409.
14.
Irwin, G. R. (1960). “Plastic zone near a crack and fracture toughness.” Proc., 7th Sagamone Conf., P IV‐63.
15.
Jenq, Y. S., and Shah, S. P. (1985). “Nonlinear fracture parameters for cement based composites: theory and experiments.” Application of Fracture Mechanics to Cementitious Composites, NATO ASI Series E, Applied Science, No. 94, S. P. Shah, ed., Martinus Nijhoff Publishers, The Hague, The Netherlands.
16.
Karsan, P., and Jirsa, J. O. (1969). “Behavior of concrete under compression loading.” J. Struct. Div., ASCE, 95(12), 2543–2563.
17.
Leis, B. N., and Forte, T. P. (1986). “Fatigue growth of initially short cracks in notched aluminum and steel plates.” Elementary Engineering Fracture Mechanics, B. David, ed.
18.
Loye, C., and Bathias, C. (1983). “The plastic zone ahead of a fatigue crack in 316 stainless steel.” Fatigue Mechanics, Advances in Quantitative Measurement of Physical Damage, ASTM STP 811, 427–444.
19.
Miller, M. S., and Gallagher, P. (1981). “An analysis of several fatigue crack growth rate (FCGR) description.” Fatigue Crack Growth Measurement and Data Analysis, ASTM STP 738, 205–251.
20.
Paris, P. C. (1962). “The growth of fatigue cracks due to variations in load,” PhD thesis, Lehigh Univ., Bethlehem, Pa.
21.
Rice, J. R. (1966). “Mechanics of crack tip deformation and extension by fatigue, fatigue crack propagation.” Symp. Fatigue Crack Propagation ASTM STP 415, ASTM, Philadelphia, Pa., 247–309.
22.
Rice, R. J. (1967). “Stress due to a sharp notch in a work‐hardening elastic‐plastic material loaded by longitudinal shear.” J. Appl. Mech., 34, 287–298.
23.
Rice, J. R. (1968). “Mathematical analysis in the mechanics of fracture.” Fracture, An Advanced Treatise Vol. II, Mathematical Foundations, 191–311.
24.
Shah, S. P. (1990). “Fracture process zone and parameters.” Engrg. Fracture Mech., 35(1/2/3), 1–14.
25.
Stark, E. A., Jr., and Williams, J. C. (1984). Microstructure and the fracture mechanics of fatigue crack propagation. ASTM STP 1020, 193.
26.
Tada, H., Paris, P., and Irwin, G. (1973). The stress analysis of cracks handbook, Del Research Corp.
27.
Tanak, K. (1989). “Mechanics and micromechanics of fatigue crack propagation, fracture mechanics: perspective and direction.” 20th Symposium, ASTM STP 1020, R. P. Wei and R. P. Gangfloff, eds., ASTM, Philadelphia, Pa.
28.
Timoshanko, S. P. (1953). History of strength of materials. McGraw‐Hill, New York, N.Y.
29.
Weibull, W. (1939). “Statistical theory of strength of materials.” Proc. Roy. Acad. Engrg. Sci. (151).
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Copyright © 1994 American Society of Civil Engineers.
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Received: Sep 16, 1992
Published online: Apr 1, 1994
Published in print: Apr 1994
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