Constraint effect on 3-D crack-front stress fields in elastic-plastic thin plates

ASTM Special Technical Publication

Volumn , Issue 1417, 2002, Pages 270-287

  Zhu, Xian Kui ^a   Kim, Yil ^a   Chao, Yuh Jin ^a   Lam, P S ^b  

^a University of South Carolina   (United States)

^b SAVANNAH RIVER NATIONAL LABORATORY   (United States)

Author keywords

Asymptotic solution; Constraint effect; Crack front field; Elastic plastic material; Finite element analysis; J integral; Three dimension

Indexed keywords

ASYMPTOTIC STABILITY; DEFORMATION; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LOADS (FORCES); PLASTICITY; PLATE METAL; STRAIN; STRESSES; THREE DIMENSIONAL;

CONSTRAINT EFFECT; CRACK-FRONT FIELD; ELASTIC-PLASTIC THIN PLATES; J-INTEGRAL; THREE DIMENSIONAL CRACK-FRONT STRESS FIELDS;

CRACKS;

EID: 0036967681     PISSN: 00660558     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (41)

1. Chao, Y. J. and Zhang, X., "Constraint Effect in Brittle Fracture," Fatigue and Fracture Mechanics: 27th Volume, ASTM STP 1296, R. Piascik, Ed., American Society for Testing and Materials, Philadelphia, 1997, pp. 41-60.
2. Chao, Y. J. and Reuter, W. G., "Fracture of Surface Cracks under Bending Loads," Fatigue and Fracture Mechanics: 28th Volume, ASTM STP 1321, J. H. Underwood, B. MacDonald and M. Mitchell, Eds. American Society for Teting and Materials, Philadelphia, 1997, pp. 214-242.
3. Chao, Y. J., Liu, S., and Broviak, B., "Brittle Fracture: Constraint Effect and Crack Curving under Mode-I Conditions," to appear in Experimental Mechanics, 2001.
4. Larsson, S. G. and Carlsson, A. J., "Influence Of Non-Singular Stress Terms and Specimen Geometry on Small-Scale Yielding at Crack Tips in Elastic-Plastic Materials," Journal of the Mechanics and Physics of Solids, Vol. 21, 1973, pp. 263-277.
5. Betegon, C. and Hancock, J. W., "Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields," Journal of Applied Mechanics, Vol. 58, 1991, pp. 104-110.
6. Al-Ani, A. M. and Hancock, J. W., "J-Dominance of Short Cracks in Tension and Bending," Journal of the Mechanics and Physics of Solids, Vol. 39, 1991, pp. 23-43.
7. O'Dowd, N. P. and Shih, C. F., "Family of Crack-tip Fields Characterized by a Triaxiality Parameter - I. Structure of Fields," Journal of the Mechanics and Physics of Solids, Vol. 39, 1991, pp. 989-1015.
8. O'Dowd, N. P. and Shih, C. F., "Family of Crack-tip Fields Characterized by a Triaxiality Parameter - II. Fracture Applications," Journal of the Mechanics and Physics of Solids, Vol. 40, 1992, pp. 939-963.
9. Dodds, R. H., Anderson, T. L., and Kirk, M. T., "A Framework to Correlate a/W Ratio Effects on Elastic-Plastic Fracture Toughness (JC)," International Journal of Fracture, Vol. 48, 1991, pp. 1-22.
10. Shih, C. F., O'Dowd, N. P., and Kirk, M.T., "A Frame Work for Quantifying Crack Tip Constraint," Constraint Effects in Fracture, ASTM STP 1171, E. M. Hackett, K.-H. Schwalbe, and R. H. Dodds, Eds., American Society for Testing and Materials, Philadelphia, 1993, pp. 2-20.
11. O'Dowd, N. P. and Shih, C. F., "Two-Parameter Fracture Mechanics: Theory and Applications," Fracture Mechanics, ASTM STP 1207, J. D. Lands, D. E. McCabe, and J. A. M. Boulet, Eds., American Society for Testing and Materials, Philadelphia, 1994, pp. 21-47. 1994, pp. 21-47.
12. Kirk, M. T., Dodds, R. H. and Anderson, T. L., "An Approximate Technique for Predicting Size Effects on Cleavage Fracture Toughness Using Elastic T Stress," Fracture Mechanics, ASTM STP 1207, J. D. Lands, D. E. McCabe, and J. A. M. Boulet, Eds., American Society for Testing and Materials, Philadelphia, 1994, pp. 62-86.
13. Nikishikov, G. P., Bruckner-Foit, A., and Munz D., "Calculation of the Second Fracture Parameter for Finite Cracked Bodies Using A Three-Term Elastic-Plastic Asymptotic Expansion," Engineering Fracture Mechanics, Vol. 52, 1995, pp. 685-701.
14. Yuan, H., Lin, G., and Corner, A., "Quantification of Crack Constraint Effects in an Austenitic Steels," International Journal of Fracture, Vol. 71, 1995, pp. 273-291.
15. Sharma, S. M. and Aravas, N., "Determination of Higher-Order Terms in Asymptotic Elastoplastic Crack Tip Solutions," Journal of the Mechanics and Physics of Solids, Vol. 39, 1991, pp. 1043-1072.
16. Hutchinson, J. W., "Singular Behavior at the End of a Tensile Crack Tip in a Hardening Material," Journal of the Mechanics and Physics of Solids, Vol. 16, 1968, pp. 13-31.
17. Rice, J. R. and Rosengren, G. F., "Plane Strain Deformation near a Crack Tip in a Power-Law Hardening Material," Journal of the Mechanics and Physics of Solids, Vol. 16, 1968, pp. 1-12.
18. Yang, S., Chao, Y. J., and Sutton, M. A., "Higher Order Asymptotic Fields in a Power Law Hardening Material," Engineering Fracture Mechanics, Vol. 45, 1993, pp. 1-20.
19. Yang, S., Chao, Y. J., and Sutton, M. A., "Complete Theoretical Analysis for Higher Order Asymptotic Terms and the HRR Zone at a Crack Tip for Mode I and Mode II Loading of a Hardening Materials," Acta Mechanica, Vol. 98, 1993, pp. 99-106.
20. Chao, Y. J., Yang, S. and Sutton, M. A., "On the Fracture of Solids Characterized by One or Two Parameters: Theory and Practice," Journal of the Mechanics and Physics of Solids, Vol. 42, 1994, pp. 629-647.
21. Chao, Y. J. and Zhu, X. K., "J-A2 Characterization of Crack-Tip Fields: Extent of J-A2 Dominance and Size Requirements," International Journal of Fracture, Vol. 89, 1998, pp. 285-307.
22. Zhu, X. K. and Chao, Y. J. "Characterization of Constraint of Fully Plastic Crack-Tip Fields in Non-Hardening Materials by the Three-Term Solution," International Journal of Solids and Structures, Vol. 36, 1999, pp. 4497-4517.
23. Chao, Y. and Zhu, X. K., "Constraint-Modified J-R Curves and its Application to Ductile Crack Growth," International Journal of Fracture, Vol. 105, 2000, pp. 187-207.
24. Chao, Y. J., Zhu, X. K., Lam, P. S., Louthan, M. R., and Iyer, N. C., "Application of the Two-Parameter J-A2 Description to Ductile Crack Growth," Fatigue and Fracture Mechanics, ASTM STP 1389, G. R. Halford and J. P. Gallagher, Eds., American Society of Testing and Materials, West Conshohocken, PA, 2000, pp. 165-182.
25. Nguyen, B. N., Onck, P., and Giessen, E. van der, "Crack-Tip Constraint Effects on Creep Fracture," Engineering Fracture Mechanics, Vol. 65, 2000, pp. 467-490.
26. Chao, Y. J., Zhu, X. K., and Zhang, L., "Higher-Order Asymptotic Crack-Tip Fields in a Power-Law Creeping Material," International Journal of Solids and Structures, Vol. 38, 2001, pp. 3853-3875.
27. Brocks, W. and Olschewski, J., "On J-Dominance of Crack-Tip Fields in Largely 3-D Structures," International Journal of Solids and Structures, Vol. 22, 1986, pp. 693-708.
28. Nakamura, T. and Parks, D. M., "Three-Dimensional Crack Front Fields in a Thin Ductile Plate," Journal of the Mechanics and Physics of Solids, Vol. 38, 1990, pp. 787-812.
29. Parks, D. M., "Advances in Characterization of Elastic-Plastic Crack Tip Fields," Topics of Fracture and Fatigue, ed. By A.S. Argon, Springer Verlag: New York pp. 59-98.
30. Henry, B. S. and Luxmoore, A. R., "The Stress Triaxiality Constraint and the Q-Value as a Ductile Fracture Parameter," Engineering Fracture Mechanics, Vol. 57, 1997, pp. 575-390.
31. Nevalainen, M. and Dodds, R. H., "Numerical Investigation of 3-D Constraint Effects on Brittle Fracture in SE(B) and C(T) Specimens," International Journal of Fracture, Vol. 74, 1995, pp. 131-161.
32. Pardoen, T., Marchal, Y., and Delannay, F., "Thickness Dependence of Cracking Resistance in Thin Aluminium Plates," Journal of the Mechanics and Physics of Solids, Vol. 47, 1999, pp. 2093-2123.
33. Yuan, H. and Brocks, W. "Quantification of Constraint Effects in Elastic-Plastic Crack Front Fields," Journal of the Mechanics and Physics of Solids, Vol. 46, No. 2, 1998, pp. 219-241.
34. Kim, Y., Zhu, X. K., and Chao, Y. J. "Quantification of Constraint on Elastic-Plastic 3D Crack Front by the J-A2 Three-Term Solution," Engineering Fracture Mechanics, Vol. 68, 2001, pp. 895-914.
35. Wang, Y. Y., Parks, D. M., and Lloyd, W. R., Reuter, W. G., and Epstein, J., "Elastic-Plastic Deformation in Surface-Cracked Plates - Experiment and Numerical-Analysis," Journal of Applied Mechanics, Vol. 58, 1991, pp. 895-903.
36. Wang, Y. Y., "On the Two-Parameter Characterization Elastic-Plastic Crack-Front Fields in Surface-Cracked Plates," Constraint Effects in Fracture, ASTM STP 1171, E. M. Hackett, K.-H. Schwalbe, and R. H. Dodds, Eds., American Society for Testing and Materials, Philadelphia, 1991, pp. 120-138.
37. Kassir, M. K. and Sih, G. C., "Three-Dimensional Stress Distribution around an Elliptical Crack under Arbitrary Loadings," Journal of Applied Mechanics, Vol. 33, 1966, pp.601-611.
38. Zhu, X. K., Liu, G. T. and Chao, Y. J., "Three Dimensional Stress and Displacement Fields near an Elliptical Crack Front," International Journal of Fracture, Vol. 19, 2001, pp. 383-401.
39. Shih, C. F., "Tables of Hutchinson-Rice-Rosengren Singular Field Quantities," Brown University Report, MRL E-147, 1983.
40. Chao, Y. J. and Zhang, L. "Tables of Plane Strain Crack Tip Fields: HRR and Higher Order Terms," ME-Report 97-1, Department of Mechanical Engineering, University of South Carolina, 1997.
41. Zhu, X. K. and Chao, Y. J., "Fully Plastic Crack-Tip Fields for CCP and DECP Specimens under Tension in Non-Hardening Materials," International Journal of Solids and Structures, Vol. 37, 2000, pp. 577-598.