The interface crack in anisotropic bodies. Stress singularities and invariant integrals

Journal of Applied Mathematics and Mechanics

Volumn 62, Issue 3, 1998, Pages 453-464

  Nazarov, S A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032219627     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(98)00057-4     Document Type: Article

References (37)

1. 1. COMNINOU, M., The interface crack. Trans. ASME. Ser. E. J. Appl. Mech., 1977, 44, 631-636.
2. 2. COMNINOU, M., The interface crack in a shear field. Trans. ASME. Ser. E. J. Appl. Mech., 1978, 45, 287-290.
3. 3. COMNINOU, M. and SCHMUESER, D., The interface crack in a combined tension-compression and shear field. Trans. ASME. Ser. E. J. Appl. Mech., 1979, 46, 345-348.
4. 4. SALGANIK, R. L., The brittle fracture of cemented bodies. Prikl. Mat. Mekh., 1963, 27, 957-962.
5. 5. GOL'DSHTEIN, R. V. and SALGANIK, R. L., Cracks which propagate on a rectilinear interface between cemented plane plates. Zh. Prikl. Mekh. Tekh. Fiz., 1963, 5, 62-68.
6. 6. RICE, J. R., Elastic fracture mechanics concepts for interfacial cracks. Trans. ASME. Ser. E. J. Appl. Mech., 1988, 55, 98-103.
7. 7. WILLIAMS, M. L., The stresses around a fault or crack in dissimilar media. Bull. Seismol. Soc. America, 1959, 49, 199-204.
8. 8. CHEREPANOV G. P., On the stressed state in an inhomogeneous plate with cracks. Izv. Akad. Nauk SSSR. Otd. Tekh. Nauk. Mekh. Mashinostr. 1962, 1, 131-137.
9. 9. ERDOGAN, F., Stress distribution in a nonhomogeneous elastic plane with cracks. Trans. ASME. Ser. E. J. Appl. Mech., 1963, 30, 232-237.
10. 10. MOSSAKOVSKII. V. I. and RYBKA, M. T., An extension of the Griffiths-Sneddon criterion to the case of an inhomogeneous body. Prikl. Mat. Mekh., 1964, 28, 1061-1069.
11. 11. RICE, J. R. and SIH, G. C., Plane problems of cracks in dissimilar media. Trans. ASME. Ser. E. J. Appl. Mech., 1965, 32, 418-423.
12. 12. ENGLAND, A. H., A crack between dissimilar media Trans. ASME. Ser. E. J. Appl. Mech., 1965, 32, 400-402.
13. 13. WILLIS, J. R., Fracture mechanics of interface cracks. J. Mech. Phys. Solids, 1971, 19, 353-368.
14. 14. CLEMENTS, D. L., A crack between dissimilar anisotropic media. Int. Cm. J. Eng. Sci., 1971, 9, 257-265.
15. 15. TING, T. C. T., Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int. J. Solids Struct., 1986, 22, 965-983.
16. 16. BASSANI, J. L., Qu. J., On elasticity solutions for cracks on bimaterial and bicrystal interfaces. Mater. Sci. Engng, 1989, A107, 177-184.
17. 17. WU, K. C., Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials. Trans. ASME. Ser. E. J. Appl. Mech., 1990, 57, 882-886.
18. 18. SUO, Z., Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. Roy. Soc. London, Ser. A, 1990, 427, 1873, 331-358.
19. 19. GAO, H., Weight function method for interface cracks in anisotropic bimaterials. Int. J. Fract., 1992, 56, 139-158.
20. 20. NAZAROV, S. A., Weight functions and invariant integrals. Vychisl. Mekhanika Deformiruemogo Tverdogo Tela, 1990, 1, 17-31.
21. 21. NAZAROV, S. A. and PLAMENEVSKY, B. A., Elliptic Problems in Domains with Piecewise Smooth Boundaries. Walter de Gruyter, Berlin, 1994.
22. 22. KONDRAT'YEV, V. A., Boundary-value problems for elliptic equations in regions with conical or corner points. Tr. Mosk. Mat. Obshch., 1967, 16, 209-262.
23. 23. MAZ'YA, V. G. and PLAMENEVSKII, B. A., Coefficients in the asymptotic form of solutions of elliptic boundary-value problems in regions with conical points. Math. Nachr., 1977, 76, 29-60.
24. 24. BOGY, D. B., Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. Trans. ASME. Ser. E. J. Appl. Mech., 1968, 35, 460-466.
25. 25. NAZAROV, S. A. and PLAMENEVSKII, B. A., Elliptic Problems in Regions with Piecewise-smooth Boundaries. Nauka, Moscow, 1991.
26. 26. FOKHBERG, I. Ts. and KREIN, M. G., Introducion to the Theory of Linear Non-self-conjugate Operators in Hilbert Space. Nauka, Moscow, 1965.
27. 27. CHEREPANOV G. P., The propagation of cracks in a continuous medium. Prikl. Mat. Mekh., 1967, 31, 476-488.
28. 28. RICE, J. R., A path independent integral and the approximate analysis of strain concentration by notches and cracks. Trans. ASME. Ser. E. J. Appl. Mech., 1968, 35, 379-386.
29. 29. KNOWLES, J. K. and STERNBERG, E., On a class of conservation laws in linearized and finite electrostatics. Arch. Rat. Mech. Anal., 1972, 44, 187-211.
30. 30. BORCHERS, W. and PILECKAS, K., Existence, uniqueness and asymptotics of steady jets. Arch. Rat. Mech. Anal., 1992, 120, 1-49.
31. 31. VAN DYKE, M., Perturbation Methods in Fluid Mechanics. Academic Press, New York, 1964.
32. 32. IL'IN, A. M., Matching of the Asymptotic Expansions of Solutions of Boundary-value Problems. Nauka, Moscow, 1989.
33. 33. MAZJA, W. G., NASAROW, S. A. and PLAMENEWSKI, B. A., Asymptotische Theorie elliptischer Randwertaufgaben in singular gestörten Gebieten. Akademie, Berlin, 1991.
34. 34. BUECKNER, H. F., A novel principle for computation of stress intensity factor. ZAMM, 1970, 50, 529-546.
35. 35. BUDIANSKY, B. and RICE, J. R., Conservation laws and energy release rates. Trans. ASME. Ser. E. J. Appl. Mech., 1973 40, 201-203.
36. 36. NAZAROV, S. A. and POLYAKOVA, O. R., Weight functions and invariant integrals of high orders. Izv. Ross. Akad. Nauk MTT, 1995, 1, 104-119.
37. 37. NAZAROV S. A., Local stability and instability of cracks of normal separation. Izv. Akad. Nauk SSSR. MTT, 1988, 3, 124-129.