Boundary element method for the frictionless arc-shaped crack closure problem

Engineering Analysis with Boundary Elements

Volumn 17, Issue 3, 1996, Pages 245-252

  Chao, Ru Min ^a   Chang, Cheng Hung ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Boundary element method; Crack closure; Stress intensity factor

Indexed keywords

CRACKS; ELASTIC MODULI; LOADS (FORCES); NUMERICAL ANALYSIS; STRESS ANALYSIS; STRESS INTENSITY FACTORS;

CRACK CLOSURE; UNIDIRECTIONAL LOADING CONDITIONS;

BOUNDARY ELEMENT METHOD;

EID: 0030114084     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(96)00018-5     Document Type: Article

References (26)

1. Muskhelishvili, N. I. Some Basic Problems of the Mathematical Theory of Elasticity, translated by J. R. M. Radok. P. Noordhoff, Groningen, 1963.
2. England, A. H. Complex Variable Methods in Elasticity. Wiley-Interscience, London, 1971.
3. Sih, G. C., Paris, P. C. & Erdogan, F. Crack tip, stress-intensity factors for plane extension and plate bending problems. J. Appl. Mech., 1962, 29, 306-12.
4. Savin, G. N. Stress Distribution Around Holes. US National Aeronautics and Space Administration, Washington, 1970.
5. Tada, N., Paris, P. C. & Irwin, C. R. The Stress Analysis of Cracks Handbook, Del. Research Corporation, St Louis, 1985.
6. Rooke, D. P. & Cartwright, D. J. Compendium of Stress Intensity Factors. HMSO, London, 1976.
7. Sih, G. C. Handbook of Stress Intensity Factors. Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, PA.
8. Toya, M. A crack along the interface of a circular inclusion embedded in an infinite solid. J. Mech. Phys. Solids, 1974. 22. 325-48.
9. Chao, R. & Laws, N. Closure of an arc crack in an isotropic homogeneous material due to uni-axial loading. Q. J. Mech. Appl. Math., 1992, 45(4), 629-40.
10. Chao, R. & Rau, M. Y. Frictional contact of an arc crack in an isotropic homogeneous material due to uni-axial loading. Engng Fract. Mech., 1995, 50(1), 121-30.
11. Cruse, T. A. & Van Buren, W. Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. Int. J. Fract. Mech., 1971, 7, 1-16.
12. Cruse, T. A. Numerical evaluation of elastic intensity factors by the boundary integral equation method. In The Surface Crack: Physical Problems and Computational Solutions, ed. J. L. Swedlow. ASME, New York, 1972, pp. 153-70.
13. Andersson, T. & Allan-Persson, B. G. The boundary element method applied to two-dimensional contact problems. In Progress in Boundary Element Methods, Vol. II, Chapter 5, ed. C. A. Brebbia. Pentech Press, London, 1983, pp. 136-57.
14. Karami, G. & Fenner, R. T. Analysis of mixed mode fracture and crack closure using the boundary integral equation method. Int. J. Fract., 1986, 30, 13-29.
15. Abdul-Mihsein, M. J., Becker, A. A. & Parker, A. P. A boundary integral equation method for axis-symmetric elastic contact problems. Comput. Struct., 1986, 20, 79-86.
16. Becker, A. A. & Plant, R. C. A. Contact mechanics using the boundary element method. Proc. Int. Conf., on Tribology, Friction, Lubrication and Wear. The Institution of Mechanical Engineers, London, 1987, pp. 975-80.
17. Karami, G. & Fenner, R. T. Analysis of mixed mode fracture and crack closure using the boundary integral equation method. Int. J. Fract., 1986, 30, 13-29.
18. Selvadurai, A. P. S. & Au, M. C. Crack with frictional interfaces: A boundary element approach. Proc. 10th Conf. Boundary Element Methods in Engineering, Southampton, Vol. 3, ed. C. A. Brebbia, 1988, pp. 211-30.
19. Cen, Z. Z., Qin, F. & Du, Q. H. Two dimensional stress intensity factor computations by multi-domain boundary element method for crack closure with friction. Acta Mech. Solida Sinica, 1990, 2, 189-202.
20. Liu, S. B. & Tan, C. L. Two-dimensional boundary element contact mechanics analysis of angled crack problems. Engng Fract. Mech., 1992, 42, 273-88.
21. Henshell, R. D. & Shaw, K. G. Crack tip finite elements are unnecessary. Int. J. Numer. Meth. Engng, 1975, 9, 495-507.
22. Murakami, Y. Stress Intensity Factor Handbook. Pergamon Press, Oxford, 1987.
23. Blandford, G. E., Ingraffea, A. R. & Liggett, J. A. Two-dimensional stress intensity factor computations using the boundary element method. Int. J. Numer. Meth. Engng, 1981, 17, 387-404.
24. Portela, A. & Aliabadi, M. H. The dual boundary element method: effective implementation for crack problems. Int. J. Numer. Meth. Engng, 1992, 33, 1269-87.
25. Dundurs, J. & Comninou, M. Some consequences of the inequality conditions in contact and crack problems. J. Elasticity, 1979, 9(1), 71-82.
26. Smith, R. N. L. & Mason, J. C. A boundary element method for curved crack problems in two dimensions. Proc. 4th Seminar on BEM, ed. C. A. Brebbia. Springer-Verlag, Berlin, 1982, pp. 472-84.