Eigenfunction expansion variational method for stress intensity factor and T-stress evaluation of a circular cracked plate

Acta Mechanica

Volumn 196, Issue 1-2, 2008, Pages 55-73

  Chen, Y Z ^a   Lin, X Y ^a  

^a JIANGSU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; PLATES (STRUCTURAL COMPONENTS); POTENTIAL ENERGY; STRESS ANALYSIS; STRESS INTENSITY FACTORS; THEOREM PROVING;

BOUNDARY COLLOCATION SCHEMES; CIRCULAR CRACKED PLATES; EIGENFUNCTION EXPANSION VARIATIONAL METHODS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 39749121420     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0500-6     Document Type: Article

References (32)

1. Williams M. L. (1957). On the stress distribution at the base of a stationary crack. ASME J. Appl. Mech. 24: 111-114
2. Rice J. R. (1974). Limitations to the small scale yielding approximation of elastic-plastic crack-tip fields. J. Mech. Phys. Solids 22: 17-26
3. Kfouri A. P. (1986). Some evaluations of the elastic T-term using Eshelby's method. Int. J. Fract. 30: 301-315
4. Chen Y. Z. (1985). New path independent integrals in linear elastic fracture mechanics. Engng. Fract. Mech. 22: 673-686
5. Chen Y. Z. (1997). Novel weight function approach for evaluating T-stress in plane elasticity crack problem. Int. J. Fract. 85: L35-L40
6. Sham T. L. (1991). The determination of the elastic T-term using higher order weight functions. Int. J. Fract. 48: 81-102
7. Chen Y. Z. (1994). T-stress in multiple crack problem for an infinite plate. Engng. Fract. Mech. 48: 641-647
8. Sherry A. H., France C. C. and Goldthorpe M. R. (1995). Compendium of T-stress solutions for two and three dimensional cracked geometries. Fatigue Fract. Engng. Mater. Struct. 18: 141-155
9. Fett T. (1997). A Green's function for T-stresses in an edge cracked rectangular plate. Engng. Fract. Mech. 57: 365-373
10. Fett T. (1998). Stress intensity factors and T-stress in edge-cracked rectangular plates under mixed boundary condition. Engng. Fract. Mech. 60: 625-630
11. Fett T. (1998). T-stress in rectangular plates and circular disks. Engng. Fract. Mech. 60: 631-652
12. Fett T. (2001). Stress intensity factors and T-stress for internally cracked circular disks under various conditions. Engng. Fract. Mech. 68: 1119-1136
13. Ayatollahi M. R., Pavier M. J. and Smith D. J. (1998). Determination of T-stress from finite element analysis for mode I and mixed mode I/II loading. Int. J. Fract. 91: 283-298
14. Chen C. S., Krause R., Pettit R. G. and Banks-Sills L. (2001). Ingraffea AR. Numerical assessment of T-stress computation using a p-version finite element method Int. J. Fract. 107: 177-199
15. Broberg K. B. (2005). A note on T-stress determination using dislocation arrays. Int. J. Fract. 131: 1-14
16. Chen Y. Z. (2000). Closed form solutions of T-stress in plane elasticity crack problem. Int. J. Solids Struct. 37: 1629-1637
17. Sladek J. and Sladek V. (1997). Evaluation of the T-stresses for interface cracks by the boundary element method. Engng. Fract. Mech. 56: 813-825
18. Li X. F. and Xu L. R. (2007). T-stresses across static crack kinking. ASME J. Appl. Mech. 74: 181-190
19. Betegon C. and Hancock J. W. (1991). Two parameter characterization of elastic-plastic crack-tip fields. ASME J. Appl. Mech. 58: 104-110
20. 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. J. Mech. Phys. Solids 21: 447-473
21. Wang X. (2004). Elastic T-stress solution for penny-shaped cracks under tension and bending. Engng. Fract. Mech. 71: 2283-2298
22. Melin S. (2002). The influence of the T-stress on the directional stability of cracks. Int. J. Fract. 114: 259-265
23. Cotterell B. and Rice J. R. (1980). Slightly curved or kinked cracks. Int. J. Fract. 16: 155-169
24. Smith D. J., Ayatollahi M. R. and Pavier M. J. (2006). On the consequences of T-stress in elastic brittle fracture. Proc. R. Soc. A 462: 2415-2437
25. Chen Y. Z. (1983). An investigation of the stress intensity factor for a finite internally cracked plate by using variational method. Engng. Fract. Mech. 17: 387-394
26. Muskhelishvili N. I. (1953). Some basic problems of mathematical theory of elasticity. Noordhoff, Groningen
27. Hu H. C. (1954). On some variational principles in the theory of elasticity and plasticity. Scientia Sinica 4: 33-54
28. Washizu K. (1975). Variational methods in elasticity and plasticity. Pergamon, Oxford
29. Chen Y. Z., Hasebe N. and Lee K. Y. (2003). Multiple crack problems in elasticity. Wit Press, Southampton
30. Wilson W. K. (1971). Numerical method for determining stress intensity factors of an interior crack in a finite plate. J. Basic Engng. 93: 685-690
31. Wang W. C. and Chen J. T. (1989). Stress analysis of finite interfacially bimaterial plates by using the variational method. Comput. Meth. Appl. Mech. Engng. 73: 153-171
32. Chen Y. Z. (2004). Stress analysis of a cylindrical bar with a spherical cavity or rigid inclusion by the eigenfunction expansion variatioanal method. Int. J. Engng. Sci. 42: 325-338