Electric current-induced stresses at the crack tip in conductors

International Journal of Fracture

Volumn 96, Issue 3, 1999, Pages 279-301

  Cai, Gary X ^a   Yuan, F G ^b  

^a Structures Technology   (United States)

^b North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONDUCTIVE MATERIALS; CRACK PROPAGATION; ELECTRIC CURRENTS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; MAGNETOELECTRIC EFFECTS; MATHEMATICAL MODELS; STRESS ANALYSIS; THERMAL EFFECTS; THERMAL STRESS;

CRACK TIP; ELECTROMAGNETIC FORCE; JOULE HEAT GENERATION;

STRESSES;

EID: 0033341696     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018670829822     Document Type: Article

References (27)

1. Boley, B.A. and Weiner, J.H. (1960). Theory of Thermal Stresses 6, John Wiley & Sons, Inc., New York.
2. Boyer, H.E. and Gall, T.L. (1984). Metals Handbook, American Society for Metals, Metals Park, Ohio.
3. Brown, E.J. and Erdogan, F. (1968). Thermal stresses in bonded materials containing cuts on the interfaces. International Journal of Engineering Science 6, 517-529.
4. Cai, X. and Yuan, F.G. (1998). Stresses around crack tip due to electric current and its self-induced magnetic field. Advances in Engineering Software 29, 297-306.
5. Cao, W.D., Sprecher, A.F. and Conrad, H. (1991). The electroplastic effect in niobium. High Temperature Niobium Alloys (Edited by J.J. Stephens and I. Ahmed), The Minerals, Metals and Materials Society, 27-47.
6. Cao, W.D. and Conrad, H. (1995). Effects of stacking fault energy and temperature on the electroplastic effect in FCC metals. Micromechanics of Advanced Materials (Edited by S.N.G. Chu), The Minerals, Metals and Materials Society, 225-236.
7. Conrad, H. and Sprecher, A.F. (1989). The electroplastic effects in metals. Dislocations in Solids (Edited by F.R.N. Nabarro), 8, 497-541, Elsevier Science, B.V.
8. Conrad, H., Sprecher, A.F., Cao, W.D. and Lu, X.P. (1990). Electroplasticity-the effect of electricity on the mechanical properties of metals. Journal of Materials Science 42, 28-33.
9. Golovin, V.I., Finkel, V.M. and Sletkov, A.A. (1975). Effects of current pulse on crack propagation kinetics in silicon iron. Problemy Prochnosti 2, 86-91.
10. Kibler, J.J. and Roberts, R. (1970). The effect of biaxial stresses on fatigue and fracture. Journal of Engineering for Industry 92, 727-734.
11. Koizumi, T., Takakuda, K., Shubiya, T. and Nashizawa, T. (1979). An infinite plate with a flaw and subjected to uniform heat flow. Journal of Thermal Stresses 2, 341-351.
12. 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 21, 263-277.
13. Lu, X.P., Cao, W.D., Sprecher, A.F. and Conrad, H. (1992). Influence of an external electric field on the microstructure of superplasticity deformed 7475 AL. Journal of Materials Science 27, 2242-2250.
14. Rice, J.R. (1974). Limitations to the small-scale yielding approximation for crack-tip plasticity. Journal of the Mechanics and Physics of Solids 22, 17-26.
15. Ritchie, R.O., Knott, J.F. and Rice, J.R. (1973). On the relationship between critical tensile stress and fracture toughness in mild steel. Journal of the Mechanics and Physics of Solids 21, 395-401.
16. Sekine, H. (1977). Thermal stresses near tips of an insulated line crack in a semi-infinite medium under uniform heat flow. Engineering Fracture Mechanics 9, 499-507.
17. Sekine, H. (1979). Crack problem for a semi-infinite solid with heated bounding surface. ASME Journal of Applied Mechanics 44, 637-642.
18. Sekine, H. (1987). Thermal stress singularities, in Thermal Stresses II (Edited by R.B. Hetnarski), North-Holland.
19. Shindo, Y. (1986). The linear magnetoelastic problem of a uniform current flow disturbed by a penny-shaped crack in a constant axial magnetic field. Engineering Fracture Mechanics 23, 977-982.
20. Shindo, Y. and Tacheuchi, A. (1987). Electromagnetic twisting of a penny-shaped crack in an elastic conducting cylinder. Theoretical and Applied Fracture Mechanics 8, 213-217.
21. Shindo, Y. and Tacheuchi, A. (1988). Singular stresses of a finite crack in an elastic conducting strip under electromagnetic force. Fusion Engineering and Design 6, 199-205.
22. Shindo, Y. and Atobe, Y. (1992). Electromagnetic twisting of a mindlin plate with a through crack. International Journal of Solids and Structures 29, 2855-2866.
23. Sih, G.C. (1962). On the singular character of thermal stresses near a crack tip. ASME, Journal of Applied Mechanics 29, 587-589.
24. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. ASME, Journal of Applied Mechanics 24, 109-114.
25. Yagawa, G. and Horie, T. (1982). Cracked beam under influence of dynamic electromagnetic force. Nuclear Engineering and Design 69, 49-55.
26. Yu, T.P., Wong, M.S. and Wang, S.S. (1995). Magnetic field effect on fracture of high-temperature superconducting (MgO)w/BPSCCO Composite. Technical Report, No. UH-LCMS-95003, University of Houston.
27. Yuan, Y.S., Wong, M.S. and Wang, S.S. (1995). Solid-state processing and phase development of bulk (MgO)w/BPSCCO high-temperature superconducting composite, submitted to Journal of Material Research.