A volume integral equation technique for multiple inclusion and crack interaction problems

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 1, 1997, Pages 23-31

  Lee, Jungki ^a   Mal, Ajit ^b  

^a Hong Ik University   (South Korea)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; INCLUSIONS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MICROCRACKS; STRESS INTENSITY FACTORS;

BOUNDARY INTEGRAL EQUATION METHOD; VOLUME INTEGRAL EQUATION METHOD;

MECHANICS;

EID: 0031097865     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787282     Document Type: Article

References (21)

1. Aliabadi, M. H., and Rooke, D. P., 1991, Numerical Fracture Mechanics, Computational Mechanics Publications, Boston.
2. Beskos, D. E., ed., 1989, Boundary Element Methods in Structural Analysis, American Society of Civil Engineers, New York.
3. Blackburn, W. S., 1977, The Mathematics of Finite Elements and Applications, Brunei University.
4. Cox, B. N., Dadkhah, M. S., James, M. R., Marshall, D. B., Morris, W. L., and Shaw, M., 1990, “On Determining Temperature Dependent Interfacial Shear Properties and Bulk Residual Stresses in Fibrous Composites,” Acta metall. mater., Vol. 38, pp. 2425-2433.
5. El Mouden, M. E., and Molinari, A., 1995, “A duster approach for the elastic interaction of inclusions,” C.R. Acad. Sei. Paris, Vol. 321, pp. 355-361.
6. Erdogan, F., and Gupta, G. D., 1975, “The Inclusion Problem with a Crack Crossing the Boundary,” Int. J. Fract., Vol. 11, pp. 13-27.
7. Henshell, R. D., and Shaw, K. G., 1975, “Crack-Tip Finite Elements Are Unnecessary,” Int. J. Num. Meth. Engng., Vol. 9, pp. 495-507.
8. Isida, M., 1970, “Analysis of Stress Intensity Factors for Plates Containing Random Array of Cracks,” Bulletin of the JSME, Vol. 13, pp. 635-642.
9. Lam, K. Y., and Phua, S. P., 1991, “Multiple Crack Interaction and its Effect on Stress Intensity Factor,” Engineering Fracture Mechanics, Vol. 40, pp. 585-592.
10. Lee, J. K., 1994, “Micromechanics of Crack Extension in Composites,” Ph.D. Dissertation, University of California, Los Angeles, CA.
11. Lee, J. K., and Mal, A. K., 1995, “A Volume Integral Equation Technique for Multiple Scattering Problems in Elastodynamics,” Applied Mathematics and Computation, Vol. 67, pp. 135-159.
12. Li, H. B., Han, G. M., and Mang, H. A., 1985, “A New Method for Evaluating Singular Integrals in Stress Analysis of Solids by the Direct Boundary Element Method,” Int. J. Num. Meth. Engng., Vol. 21, pp. 2071-2098.
13. Lu, S., and Ye, T. Q., 1991, “Direct Evaluation of Singular Integrals in Elas-toplastic Analysis by the Boundary Element Method,” Int. J. Num. Meth. Engng., Vol. 32, pp. 295-311.
14. Mal, A. K., and Knopoff, L., 1967, “Elastic Wave Velocities in Two Component Systems,” J. Inst. Math. Applies., Vol. 3, pp. 376-387.
15. Mal, A. K., and Singh, S. J., 1991, Deformation of Elastic Solids, Prentice-Hall, Englewood Cliffs, NJ.
16. Nisitani, H., Saito, K., and Hara, N., 1973, “Stress Concentration Due to an Elliptic Hole or Crack Existing near a Notch under Tension or Longitudinal Shear,” Trans, of the JSME, Vol. 39, pp. 2312-2322.
17. Patran Plus User Manual, 1989, Vols. I and II, PDA Engineering, Costa Mesa, CA.
18. Sih, G. C., 1964, “Boundary Problems for Longitudinal Shear Cracks,” Proc. Conf Theor. Appl. Mech., pp. 117-130.
19. Stern, M., and Becker, E. B., 1978, “A Conforming Crack Tip Element with Quadratic Variation in the Singular Fields,” Int. J. Num. Meth. Engng., Vol. 12, pp. 279-288.
20. Yokobori, T., Ichikawa, M., Konosu, S., and Takahashi, R., 1971, “A Criterion for Brittle Fracture of Notched Solid,” J. Japan. Soc. Strength & Frac. Mater., Vol. 6, pp. 58-67.
21. Zienkiewicz, O. C., Bettess, P., Chiam, T. C., and Emson, C., 1981, “Numerical Methods for Unbounded Field Problems and a New Infinite Element Formulation,” Computational Methods for Infinite Domain Media-Structure Interaction, A. J. Kalinowski, ed., ASME, New York, pp. 115-148.