Higher order eigenfields in mode II cracks under elastic-plastic deformation

KSME International Journal

Volumn 17, Issue 2, 2003, Pages 254-268

  Jeon, Insu ^a   Lee, Yongwoo ^a   Im, Seyoung ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Configuration Of The Plastic Zone; Higher Order Stress Coefficients; Stress Intensity Factor; Two State J And M Integral

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CRACK PROPAGATION; EIGENVALUES AND EIGENFUNCTIONS; ELASTOPLASTICITY; PLASTIC DEFORMATION; STRESS INTENSITY FACTORS;

CONFIGURATION OF THE PLASTIC ZONES; HIGHER ORDER STRESS COEFFICIENTS; INTERFACIAL CRACKS; TWO-STATE J- AND THE M-INTEGRAL;

CRACKS;

EID: 3142774186     PISSN: 12264865     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02984397     Document Type: Article

References (21)

1. Betagon, C. and Hancock, J. W., 1991, "Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields," ASME J. Appl. Mech., Vol. 58, pp. 104-110.
2. Bibly, B. A., Cardew, G. E., Goldethorpe, M. R. and Howard, I. C., 1986, "A Finite Lement Investigation of the Effects of Specimen Geometry on the Fields of Stress and Strain at the Tips of Stationary Cracks," Size Effects in Fracture I, pp. 37-46.
3. Chen, F. H. K. and Shield, R. T., 1977, "Conservation Laws in Elasticity of the J-Integral Type," Z. Angw. Math. Phys. (ZAMP), Vol. 28, pp. 1-22.
4. Chen, Y. H. and Hasebe, N., 1994a, "Further Investigation of Comninou's EEF for an Interface Crack With Completely Closed Faces," Int. J. Engng Sci., Vol. 32, pp. 1037-1046.
5. Chen, Y. Z. and Hasebe, N., 1994b, "Eigenfunction Expansion and Higher Order Weight Fuctions of Interface Cracks," ASME J. Appl. Mech., Vol. 61, pp. 843-849.
6. Chen, Y. H. and Hasebe, N., 1997, "Explicit Formulation of the J-Integral Considering Higher Order Singular Terms in Eigenfunction Expansion Forms. Part I. Analytical Treatments," Int. J. Fract., Vol. 85, pp. 11-34.
7. Cho, Y. J., Beom, H. G. and Earmme, Y. Y., 1994, "Application of a Conservation Integral to an Interface Crack Interacting with Singularities," Int. J. Fract., Vol. 65, pp. 63-73.
8. Choi, N. Y. and Earmme, Y. Y., 1992, "Evaluation of Stress Intensity Factors in a Circular Arc-shaped Interfacial Crack using L-integral," Mech. Materials, Vol. 14, pp. 141-153.
9. Eshelby, J. D., 1956, "The Continuum Theory of Lattice Defects," Solid State Phisics, Vol. III, pp. 79-144.
10. Hui, C. Y. and Ruina, A., 1995, "Why K ? High Order Singularities and Small Scale Yielding," Int. J. Fract., Vol. 72, pp. 97-120.
11. Im, S. and Kim, K. S., 2000, "An Application of Two-State M-Integral for Computing the Intensity of the Singular Near-Tip Field for a Generic Wedge," J. Mech. Phys. Solids, Vol. 48, pp. 129-151.
12. Jeon, I., Cha, B. W. and Im, S., 1996, "Edge Delamination in a Laminated Composite Strip Under Generalized Plane Deformations," Int. J. Fract., Vol. 77, pp. 95-110.
13. Jeon, I. and Im, S., 2001, "The Role of Higher Order Eigenfields in Elastic-Plastic Cracks," J. Mech. and Phys. Solids, Vol. 49, pp. 2789-2819.
14. Kfouri, A. P., 1986, "Some Evaluation of Elastic T- Term Using Eshelby's Method," Int. J. Fract., Vol. 30, pp. 301-315.
15. Kim, Y. J. and Lee, H. Y., "Decomposition of Interfacial Crack Driving Forces in Dissimilar Joints," KSME Int. J., Vol. 14, pp. 30-38.
16. Knowles, J. K. and Sternberg, E., 1972, "On a Class of Conservation Laws in a Linearized and Finite Elastostatics," Arch. Rat. Mech. Anal., Vol. 44, pp. 187-211.
17. Li, F. Z., Shin, C. F. and Needleman, A., 1985, "A Comparison of Methods for Calculating Energy Release Rates," Engr. Fract. Mech., Vol. 21, pp. 401-421.
18. Matos, P. P. L., McMeeking, R. M., Charalambides, P. G. and Drory, M. D., 1989, "A Method for Calculating Stress Intensities in Bimaterial Fracture," Int. J. Fract., Vol. 40, pp. 235-254.
19. McMeeking, R. M., 1977. "Finite Deformation Analysis of Crack-Tip Opening in Elastic-Plastic Materials and Implications for Fracture," J. Mech. and Phys. Solids, Vol. 25, pp. 357-381.
20. Rice, J. R., 1968, "A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks," ASME J. Appl. Mech., Vol. 35, pp. 379-386.
21. rd Edition).