Numerical modeling of 2-D smooth crack growth
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Material Properties and Failure Mechanisms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (24)
Show source-provided references
1. Bueckner, H.F. (1958). The propagation of cracks and the energy of elastic deformation. Transactions of the ASME (ser. D) 80, 111–116.
2. Berchenko, I. and Detournay, E. (1996). Deviation of hydraulic fractures through poroelastic stress changes induced by fluid injection and pumping. International Journal of Rock Mechanics and Mining Science (submitted).10.1016/S1365-1609(97)80010-X ↗
3. Cotterell, B. and Rice, J.R. (1980). Slightly curved or kinked cracks. International Journal of Fracture 16, 155–169.10.1007/BF00012619 ↗
4. Cotterell, B. (1965). On brittle fracture paths. International Journal of Fracture Mechanics 1, 96–103.10.1007/BF00186747 ↗
5. Kitagawa, H. and Yuuki, R. (1977). Analysis of branched cracks under biaxial stresses. In: Fracture 1977. University of Waterloo Press 3, 201.10.1016/B978-0-08-022142-7.50040-5 ↗
6. Kudrjavtzev, B., Morozov, E. and Parton, V. (1968). On the calculation of curvilinear cracks's trajectory. Izvestia Academy Nauk SSSR Mechanica Tverdogo Tela 3, 185–187 (in Russian).
7. Linkov, A.M. and Mogilevskaya, S.G. (1991). Complex hypersingular integrals and integral equations in plane problems of elasticity theory. In: Researches on Structure Mechanics and Materials. Leningrad. Institute for Building Engineering Leningrad, 17–34 (in Russian).
8. Linkov, A.M. (1983). Plane problems of the static loading of a piecewise homogeneous linearly elastic medium. Journal of Applied Mathematics and Mechanics 47, 527–532.10.1016/0021-8928(83)90093-X ↗
9. Linkov, A.M. and Mogilevskaya, S.G. (1995). On the theory of complex hypersingular equations. In: S.N. Atluri, G. Yagawa and T.A. Cruse (eds.): Computational Mechanics '95. Springer-Verlag, Berlin, Heidelberg, New York, 2, 2836–2840.
10. Lo, K.K. (1978). Analysis of branched cracks. Journal of Applied Applied Mechanics 45, 797–802.10.1115/1.3424421 ↗
11. Mau, S.T. and Yang, M.S. (1977). Some applications of a hybrid finite element method to crack problems. In: Proceedings International Conference of Fracture Mechanics and Technology. Hong Kong. Alphen aan den Rijn 2, 1467–1482.
12. Miyamoto, H., Fucuda, S., Kujirai, Y. and Sumikawa, K. (1977). Prediction of fatigue crack path by finite element method. Journal of Fracture Engineering University Tokio 34, (Ser B) 339–348.
13. Mogilevskaya, S.G. (1996a). The universal algorithm based on complex hypersingular equation to solve plane elasticity problems. Computational Mechanics 18, 127–138.10.1007/s004660050133 ↗
14. Mogilevskaya, S.G. (1996b). The complex one-sided integrals of Cauchy and Hadamard and application to BEM. (accepted to International Journal for Numerical and Analytical Methods in Geomechanics).
15. Mogilevskaya, S.G. (1997). Complex hypersingular integral equation for the piecewise homogeneous half-plane with the cracks In: B. Annin, V. Monakhov and V. Teshukov (eds.): Mathematical problems of Mechanics of Solids. Novosibirsk University, Novosibirsk, 100–101 (in Russian).
16. Murakami, Y. (1987). Stress Intensity Factors Handbook. Pergamon Press Oxford.
17. Morozov, E.M. (1978). The method of the calculation of crack's static trajectory. Physics and Mechanics of Fracture 5, 67–75 (in Russian).
18. Parton, V.Z. and Morozov, E.M. (1985). Mechanics of elasto-plastic fracture. Nauka, Moscow (in Russian).
19. Radon, J.C., Leevers, P.S. and Culver, L.E. (1977). Fracture toughness of PMMA under biaxial stress. In: Fracture 1977. University of Waterloo Press 3, 113–118.
20. Savruk, M.P. (1981). Two-dimensional problems of elasticity for body with crack. Naukova Dumka, Kiev, (in Russian).
21. Sih, G.C. (1974). Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture 10, 305–321.10.1007/BF00035493 ↗
22. Volkov, V.M. (ed.) (1987). Approximation of the compound curves by the arcs of the circles and its application to the problems of mechanical engineering. Kuzbass Technical University. Kemerovo (in Russian).
23. Wei, R.P. and Landes, J.D. (1969). Correlation between sustained load and fatigue crack growth in high strength steels. Mathematical Res. and Stand. 2, 25–46.
24. Zang, W.L. (1990). On modeling of piece-wise smooth cracks in two-dimensional finite bodies. International Journal of Fracture 46, 41–55.10.1007/BF00034167 ↗