Browse > Article
http://dx.doi.org/10.3795/KSME-A.2003.27.7.1159

Interfacial Crack-tip Constraints and J-integrals in Plastically Hardening Bimaterials under Full Yielding  

Lee, Hyung-Yil (서강대학교 기계공학과)
Kim, Yong-Bom (서강대학교 대학원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.7, 2003 , pp. 1159-1169 More about this Journal
Abstract
This paper investigates the effects of T-stress and plastic hardening mismatch on the interfacial crack-tip stress field via finite element analyses. Plane strain elastic-plastic crack-tip fields are modeled with both MBL formulation and a full SEC specimen under pure bending. Modified Prandtl slip line fields illustrate the effects of T-stress on crack-tip constraint in homogeneous material. Compressive T-stress substantially reduces the interfacial crack-tip constraint, but increases the J-contribution by lower hardening material, J$\_$L/. For bimaterials with two elastic-plastic materials, increasing plastic hardening mismatch increases both crack-tip stress constraint in the lower hardening material and J$\_$L/. The fracture toughness for bimaterial joints would consequently be much lower than that of lower hardening homogeneous material. The implication of unbalanced J-integral in bimaterials is also discussed.
Keywords
Bimaterial; Plastic Hardening Mismatch; J-integral; T-stress; Biaxiality; Constraint; Finite Element Analysis; Modified Boundary Layer Formulation; Full Specimen; Slip Line Field;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Larsson, S. G. and Carlsson, A. J., 1973, '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, pp. 263-277   DOI   ScienceOn
2 Betegon, C. and Hancock, J. W., 1991, 'Two-Parameter Characterization of Elastic-Plastic Crack-tip Fields,' Journal of Applied Mechanics, Vol. 58, pp. 104-110   DOI
3 McClintock, F. A., 1968, 'A Criterion for Ductile Fracture by Growth of Holes,' Journal of Applied Mechanics, Vol. 35, pp. 363-371   DOI
4 Rice, J. R. and Tracey, D. M., 1969, 'On the Ductile Enlargement of Voids in Triaxial Stress Fields,' Journal of the Mechanics and Physics of Solids, Vol. 17, pp. 201-217   DOI   ScienceOn
5 Williams, M. L., 1957, 'On the Stress Distribution at the Base of a Stationary Crack,' Journal oj Applied Mechanics, Vol. 24, pp. 111-114
6 Rice, J. R., 1974, 'Limitations to the SmallScale Yielding Approximation for Crack-Tip Plasticity,' Journal of the Mechanics and Physics of Solids, Vol. 22, pp. 17-26   DOI   ScienceOn
7 Parks, D. M., 1992, 'Advanced in Characterization of Elastic-Plastic Crack- Tip Fields,' In Topics in Fracture and Fatigue, A. S. Argon (ed.), Springer-Verlag, pp. 59-98
8 ABAQUS User's Manual, 1998, Version 5.8, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI
9 Du, Z.-Z. and Hancock, J. W., 1991, 'The Effect of Non-Singular Stresses on Crack-tip Constraint,' Journal of the Mechanics and Physics of Solids, Vol. 37, pp. 555-567
10 Wang, Y.-Y. and Parks, D. M., 1993, 'On the Two-Parameter Characterization of Elastic-plastic Crack-front Fields In Surface-cracked Plates,' In Constraint Effects in Fracture, ASTM STP 1171, pp. 120-138
11 O'Dowd, N. P. and Shih, C. F., 1991, 'Family of Crack-tip Fields Characterized by a Triaxiality Parameter- I. Structure of Fields,' Journal of the Mechanics and Physics of Solids, Vol. 39, pp. 989-1015   DOI   ScienceOn
12 O'Dowd, N. P. and Shih, C. F., 1991, 'Family of Crack-tip Fields Characterized by a Triaxiality Parameter- II. Fracture Application', Journal of the Mechanics and Physics of Solids, Vol. 40, pp. 939-963   DOI   ScienceOn
13 Dodds, R. H., Jr., Shih, C. F. and Anderson, T. L., 1992, 'Continuum and Micromechanics Treatment of Constraint in Fracture,' UILUENG-92-2014, University of Illinois at Urbana-Champaign, Department of Civil Engineering
14 Wu, S.-X., Mai, Y.-W. and Cotterell, B., 1990, Plastic ${\eta}$-factor ${\eta}_D$ of Fracture Specimens with Deep and Shallow Cracks,' International Journal of Fracture, Vol. 45, pp. 1-18   DOI
15 Lee, H. and Heon, S., 2000, 'The 3D Surface Crack-front Constraints in Welded Joints, Transactions of KSME (A), Vol. 24, pp. 144-155   과학기술학회마을
16 Lee, H., Ham, J. and Kim, Y.-J., 1999, 'MBL Based Investigations of Interfacial Crack- Tip Constraints and J-integrals in Plastically Hardening Birnaterials,' Transactions of KSME (A), Vol. 23, pp. 1525-1535
17 Rice, J. R. and Rosengren, G. F., 1968, 'Plane Strain Deformation Near a Crack Tip in a Power Law Hardening Material,' Journal of the Mechanics and Physics of Solids, Vol. 16, pp. 1-12   DOI   ScienceOn
18 Leevers, P. S. and Radon, J. C., 1982, Inherent Stress Biaxiality in Various Fracture Specimen Geometries,' International Journal of Fracture, Vol. 18, pp. 311-325   DOI