Stress intensity factors and crack deviation conditions in a brittle anisotropic solid

Journal of Applied Mechanics and Technical Physics

Volumn 46, Issue 3, 2005, Pages 386-394

  Nazarov, S A ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

Brittle anisotropic solid; Crack; Intensity factors

Indexed keywords

EID: 23844453718     PISSN: 00218944     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10808-005-0088-3     Document Type: Article

References (26)

1. M.L. Williams, "Stress singularities resulting from various boundary conditions in angular corners of plates in extensions," J. Appl. Mech., 19, 526-528 1952
2. V.Z. Parton and P.I. Perlin 1981 Methods of the Mathematical Theory of Elasticity Nauka Moscow [in Russian]
3. A.A. Kulikov and S.A. Nazarov, "Conformity principle in plane problems of straight crack growth" Izv. Ross. Akad. Nauk., Mekh. Tverd. Tela, 1, 77-87 (2004).
4. R. Duduchava and W.L. Wendland, "The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems" Integral Equations Operator Theory, 23, No. 3, 294-335 (1995). 10.1007/BF01198487
5. M. Costabel and M. Dauge, "Crack singularities for general elliptic systems," Math. Nachr., 235, 29-49 (2002). 10.1002/ 1522-2616(200202)235:1<29::AID-MANA29>3.0.CO;2-6
6. S.A. Nazarov, "Crack at an interface between anisotropic solids. Stress singularities and invariant integrals," Prikl. Mat. Mekh., 62, No. 3. 489-502 (1998).
7. I.I. Argatov and S.A. Nazarov, "Energy liberation due to crack kinking in a plane anisotropic solid," Prikl. Mat. Mekh., 66, No. 3, 502-514 (2002).
8. V.G. Maz'ya and B.A. Plamenevskii, "Coefficients in the asymptotic solutions of elliptic boundary-value problems in a region with conical points," Math. Nachr., 76, 29-60 (1977).
9. S.A. Nazarov, "Weight functions and invariant Integrals," in: Computational Mechanics of a Deformable Solid (collected scientific papers) [in Russian], No. 1 (1990), pp. 17-31.
10. S.A. Nazarov and O.R. Polyakova, "Weight functions and invariant integrals of higher orders," Izv. Ross. Akad. Nauk., Mekh. Tverd. Tela, 1, 104-119 (1995).
11. S.A. Nazarov, "Possibility of calculating all factors of lower-order stress singularities using invariant integrals," Vest. St. Petersburg. Gos. Univ., Ser. 1, No. 4(22) (1996), pp. 95-99.
12. A.B. Movchan S.A. Nazarov and O.R. Polyakova 1999 "Curving of the trajectory for quasistatic crack growth in a plane with a small defect," Elasticity and Plasticity Research (collected scientific papers) No. 18 St. Petersburg Gos. Univ. St. Petersburg pp. 142-161 [in Russian]
13. M. Comninou, "The interface crack," Trans. ASME, Ser. E, J. Appl. Mech., 44, No. 4, 631-636 (1977).
14. M. Comninou and D. Schmueser, "The interface crack in a combined tension-compression and shear field," Trans. ASME, Ser. E, J. Appl. Mech., 46, No. 2, 345-348 (1979).
15. J. Sokolowski and A.M. Khludnev, "On the derivative of the energy functional along the crack length in elasticity problems," Prikl. Mat. Mekh., 64, No. 3, 464-475 (2000).
16. A.M. Khludnev and J. Sokolowski, "Griffith formulae for elasticity systems with unilateral conditions in domains with cracks," Europ. J. Mech. Solids, 19, No. 1, 105-120 (2000). 10.1016/S0997-7538(00)00138-8
17. N.B. Alfutova, A.B. Movchan, and S.A. Nazarov, "Algebraic equivalence of plane problems for orthotropic and anisotropic media," Vest. Leningrad. Univ., Ser. 1. No. 3(15), 64-68 (1991).
18. V.G. Maz'ya and S.A. Nazarov, "Asymptotic behavior of the energy integrals for small perturbations of the boundary near corner and conical points," Tr. Mosk. Mat. Obshch., 50, 79-129 (1987).
19. W.G. Mazja S.A. Nasarow and B.A. Plamenewski 2000 Asymptotic Theory of Elliptic Boundary-Value Problems in Singularly Perturbed Domains Vol 1 Basel Birkhäuser Verlag Berlin
20. V.Z. Parton amd E.M. Morozov 1974 Mechanics of Elastoplastic Fracture Nauka Moscow [in Russian]
21. D. Leguillon and E. Sanchez-Palencia 1992 "Fracture in heterogeneous materials. Weak and strong singularities," in: New Advances in Computational Structural Mechanics Elsevier Sci. Publications B. V. Paris pp. 423-434
22. N.V. Bannichuk, "Determining the shape of a curved crack using the small-parameter method," Izv. Ross. Akad. Nauk., Mekh. Tverd. Tela, 2, 130-137 (1970).
23. B. Cotterel and J.R. Rice, "Slightly curved or kinked cracks," Int. J. Fract., 16, No. 2, 155-169 (1980). 10.1007/BF00012619
24. M. Amestoy and J.B. Leblond, "Crack path in plane situations. II. Detailed form of the expansion of the stress intensity factors," Int. J. Solids Struct., 29, No. 4, 465-501 (1992). 10.1016/ 0020-7683(92)90210-K
25. R.V. Gol'dstein and R.L. Salganik, "Plane problem of curved cracks in solids," Izv. Ross. Akad. Nauk., Mekh. Tverd. Tela, 3, 69-82 (1970).
26. C. Eck, S.A. Nazarov, and W.L. Wendland, "Asymptotic analysis for a mixed boundary-value contact problem," Arch. Rational Mech. Anal., 156, 275-316 (2001). 10.1007/s002050100119