Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-23T13:31:27.889Z Has data issue: false hasContentIssue false
  • English
  • Français

EndoFEM Studies in the Mode I Stable Crack Growth of Fatigue Precracked CT Specimen

Published online by Cambridge University Press:  05 May 2011

C.F. Lee  and
K.L. Lee
C.F. Lee*
Affiliation:
Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
K.L. Lee*
Affiliation:
Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
**Graduate student
Get access

Abstract

In this paper, the EndoFEM incorporated with a node duplicated and then unloaded crack extension methodology, is employed to produce the CT specimen of A1 2024-T3 with initial fatigue crack and then to simulate its stable crack growth under Mode I condition. Using the experimental P-LLD data, the P-Δa diagram can be estimated by the effective compliance method. This results in a further simulation of crack extending procedures which can obtain the stress-plastic strain distributions of growing crack front and their crack opening profiles, CTOD and CTOA vs. Δa Diagram, COD and COA measured at 5 positions behind the original crack tip vs. Δa diagram. The results mentioned above have excellent agreements with results of related experiments and other computational simulations.

In consequence, the paper proposes a single fracture parameter of crack growth which can be casted in the future studies of EndoFEM simulation: (1) Within the crack initiation range whose crack extension rates da/dP has the lowest constant value, the COA measured at 0.5mm behind the original crack tip is takes as 5°; (2) Within the stable crack growth region whose crack extension rates are nonlinearly and monotonically increasing with finite values, the COA measured at 1mm behind the current crack tip is also taken as 5°.

Keywords

Incremental Endochronic plasticityEndoFEMMode I stable crack growthP vs. LLDP vs. Δacrack extension methodologyfracture parametersCTODCTOACODCOA
Type
Articles
Information
Journal of Mechanics , Volume 15 , Issue 4 , December 1999 , pp. 157 - 167
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Wells, A. A., “Unstable Crack Propagation in Metals: Cleavage and Fast Fracture,” Proceedings of the Crack Propagation Symposium, 1, paper 84, Cranfield, UK (1961).Google Scholar
2.Rice, J. R., “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Crack,” J. Apple. Mech., 35, pp. 379–386 (1968).CrossRefGoogle Scholar
3.Burdekin, F. M. and Stone, D. E. W., “The Crack Opening Displacement Approach to Fracture Mechanics in Yielding Materials,” J. Strain Analysis, 1, pp. 145–153 (1966).CrossRefGoogle Scholar
4.Dawicke, D. S., Sutton, M. A., Newman, J. C. Jr. and Bigelow, C. A., “Measurement and Analysis of Critical CTOA for Aluminum Alloy Sheet,” Fracture Mechanics, ASTM, STP 1220, pp. 358–379 (1995).Google Scholar
5.Du, S. and Lee, J. D., “Variations of Various Fracture Parameters During the Process of Subcritical Crack Growth,” Engng. Fracture Mech., 17, pp. 173–183 (1983).Google Scholar
6.Hutchinson, J. W. and Paris, P. C., “Stability Analysis of J-Controlled Crack Growth,” Elasticplastic Fracture, ASTM, STP 668, pp. 37–64 (1979).CrossRefGoogle Scholar
7.Kobayashi, A. S. and Atluri, S. N., “Tε* as a Crack Growth Criterion,” Proceedings of 6th Int. Sym. on Plasticity and Its Current Application, Neat Press, Fulton Maryland, USA, pp. 427–428 (1997).Google Scholar
8.Kanninen, M. F. and Popelar, C. H., “Advanced Fracture Mechanics,” Oxford Univ. Press, pp. 367–387 (1985).Google Scholar
9.Drinnon, R. H. and Kobayashi, A. S., “J-Integral and HRR Field Associated with Large Crack Extension,” Engnr. Fracture Mechanics, 41, pp. 684–694 (1992).Google Scholar
10.Newman, J. C. Jr., “An Elastic-Plastic Finite Element Analysis of Crack Initiation, Stable Crack Growth and Instability,” Fracture Mechanics, ASTM, STP 833, pp. 93–117 (1984).Google Scholar
11.Hoff, R. and Rubin, C. A., “A New Finite-Element Technique for Modeling Stable Crack Growth,” Engnr. Fracture Mechanics, 23, pp. 105–118 (1986).CrossRefGoogle Scholar
12.Shih, C. F., deLorenzi, H. G. and Andrews, H. R., “Studies on Crack Initiation and Stable Crack Growth,” Elastic-Plastic Fracture, ASTM, STP 668, pp. 65–120 (1979).CrossRefGoogle Scholar
13.Mahanty, D. K. and Maiti, S. K., “Experimental and Finite Element Studies on Mode I and Mixed (I and II) Stable Crack Growth — I. Experimental, II. Finite Element Analysis,” Engnr. Fracture Mechanics, 37, pp. 1237–1275 (1990).CrossRefGoogle Scholar
14.Valanis, K. C, “Fundamental Consequences of a New Intrinsic Time Measure: Plasticity as a Limit of the Endochronic Theory,” Arch. Mech., 32, pp. 171–191 (1980).Google Scholar
15.Lee, C. F., “Numerical Method of the Incremental Endochronic Plasticity,” The Chinese J. Mech., 8, pp. 377–396 (1992).Google Scholar
16.Lee, C. F., “Recent Finite Element Applications of the Incremental Endochronic Plasticity,” Int. J. Plasticity, 11, pp. 843–865 (1995).CrossRefGoogle Scholar
17.Hsiao, L. T. and Lee, C. F., “EndoFEM Node-Released Strategy in the Simulation of Fatigue Crack Closure Phenomena,” The Chinese J. Mech., 14, pp. 57–66 (1998).Google Scholar
18.Saxena, A. and Hudak, S. J. Jr., “Review and Extension of Compliance for Common Crack Growth Specimens,” Int. J. Fracture, 14, pp. 453–468 (1978).CrossRefGoogle Scholar
19.Newman, J. C. Jr., “Prediction of Stable Crack Growth and Instability Using the VR-Curve Method,” ASTM STP 896, pp. 139–166 (1985).Google Scholar
20.Fuchs, H. O. and Stephen, R. I., Metal Fatigue in Engineering, Wily-Interscience, New York (1980).Google Scholar