Numerical Methodology in Fatigue Analysis: Basic Formulation
Publication: Journal of Transportation Engineering
Volume 125, Issue 6
Abstract
Numerical simulation of fatigue crack growth in pavements could provide a simple and fast method to assess the resistance of the pavement to crack initiation and propagation under applied traffic loads. Such studies are facilitated through the development of appropriate computer algorithms and the use of high speed computers. On the basis of elastic-plastic fracture mechanics, a numerical methodology is presented in this paper to simulate fatigue crack growth and to predict fatigue life. This method utilizes two parameters, J-integral and R _curve, which characterize material elastic-plastic fracture behavior to define the crack growth criterion and find critical crack growth length. Fatigue crack propagation is simulated by shifting the R _curve along the crack growth direction. Fatigue life is calculated by integrating the fatigue crack growth rate established in this process from initial crack length to critical crack length. A simple example is presented to illustrate the proposed methodology. The numerical result is consistent with available experimental result.
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References
1.
ABAQUS—Finite element program, version 5.3. (1995). Hibbit, Karlsson and Sornsen, Inc., Providence, R.I.
2.
Elber, W. ( 1971). “The significance of fatigue crack closure.” Damage tolerance in aircraft structures, ASTM STP 486, ASTM, West Conshohocken, Pa., 230–242.
3.
Ernst, H. A., Paris, P. C., and Landes, J. D. (1981). “Estimations on J-integral and tearing modulus T from a single specimen test record.” Proc., Fracture Mech.: 13th Conf., ASTM STP 743, R. Roberts, ed., ASTM, West Conshohocken, Pa., 476–502.
4.
Ernst, H. A., Paris, P. C., Rossow, M., and Hutchinson, J. W. ( 1979). “Analysis of load-displacement relationships to determine J-R curve and tearing instability material properties.” Fracture mechanics, ASTM STP 677, C. W. Smith, ed., ASTM, West Conshohocken, Pa., 581–599.
5.
Griffith, A. A. (1921). “The phenomena of rupture and flow in solids.” Philosophical Trans. Royal Soc., London, A221, 163–197.
6.
Joyce, J. A. (1980). “Application of the key curve method to determining J-R curve for A533b steel.” Rep. NUREG/CR-1290, Nuclear Regulatory Commission.
7.
Joyce, J. A., Ernst, H. A., and Paris, P. C. (1980). “Direct evaluation of J-resistance curves from load displacement records.” Proc., Fracture Mech.: 12th Conf., ASTM STP 700, ASTM, West Conshohocken, Pa., 222–236.
8.
Lalor, P. L., Sehitoglu, H., and McClung, R. C. ( 1986). “Mechanics aspects of small crack growth from notches—the role of crack closure.” The behavior of short fatigue cracks, EGF 1, Mechanical Engineering Publications Ltd., London, 369–386.
9.
Miyamoto, H., Miyoshi, T., and Fukuda, S. (1973). “An analysis of crack propagation in welded structures.” Proc., Significance of Defects in Welded Struct., Japan-U.S. Seminar, University of Tokyo Press, Tokyo, 189–202.
10.
Nakagaki, M., and Atluri, S. N. (1980). “Elastic-plastic analysis of fatigue crack closure in modes I and II.” AIAA J., 18, 1110–1117.
11.
Newman, J. C., Jr. ( 1977). “Finite-element analysis of crack growth under monotonic and cyclic loading.” Cyclic stress-strain and plastic deformation aspects of fatigue crack growth, ASTM STP 637, ASTM, West Conshohocken, Pa., 56–80.
12.
Newman, J. C., Jr. (1995). “Fatigue life prediction methodology using a crack-closure model.” J. Engrg. Mat. and Technol., 117, 433–439.
13.
Newman, J. C., Jr. and Armen, H., Jr. (1975). “Elastic-plastic analysis of a propagating crack under cyclic loading.” AIAA J., 13(8), 1017–1023.
14.
Ohji, K., Ogura, K., and Ohkubo, Y. (1974). “On the closure of fatigue crack under cyclic tensile loading.” Int. J. Fracture, 10, 123–124.
15.
Ohji, K., Ogura, K., and Ohkubo, Y. (1975). “Cyclic analysis of a propagating crack and its correlation with fatigue crack growth.” Engrg. Fracture Mech., 7, 457–464.
16.
Pretorius, D. C. ( 1970). “Design considerations for pavements containing soil-cement bases,” PhD dissertation, University of California, Berkeley, Calif.
17.
Rice, J. R. ( 1967). “Mechanics of crack tip deformation and extension by fatigue.” Fatigue crack propagation, ASTM STP 415, ASTM, West Conshohocken, Pa., 247–311.
18.
Rice, J. R. (1968). “A path independent integral and the approximate analysis of strain concentration by notches and cracks.” J. Appl. Mech., 35, 379–386.
19.
Schwalbe, K.-H. (1973). “Approximate calculation of fatigue crack growth.” Int. J. Fracture, 9(4), 381–395.
20.
Sharobeam, M. H., and Landes, J. D. (1991). “The load separation criterion and methodology in ductile fracture mechanics.” Int. J. Fracture, 47, 81–104.
21.
Zhang, X. ( 1990). “Numerical simulation of fatigue crack propagation under variable amplitude loading,” PhD thesis, Imperial College of Science, Technology and Medicine, University of London, London.
22.
Zhang, X. A., Chan, S. L., and Davies, G. A. O. (1992). “Numerical simulation of fatigue crack growth under complex loading sequences.” Engrg. Fracture Mech., 42(2), 305–321.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 125 • Issue 6 • November 1999
Pages: 552 - 559
History
Received: Sep 11, 1998
Published online: Nov 1, 1999
Published in print: Nov 1999
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