On frictionally constrained wing-cracks

• Autorzy: Selvadurai A. P. S. , Willner K. , Gaul L.
• Języki publikacji: EN

Abstrakty

EN

This paper examines the mechanics of wing-cracks that are located at its extremities of an interface region with Coulomb friction. The region containing the interface and the wing-cracks is first subjected to an isotropic compression, which induces closure of the interface region. The region is then subjected to a uniaxial compression in an incremental fashion. Since the frictional effects are restricted to pre-defined surfaces, the boundary element technique can be applied quite successfully to determine the influence of Coulomb friction on the development of stress intensity factors at the tips of the wing-cracks.

Słowa kluczowe

PL

pęknięcia; mechanika pęknięć; powstawanie naprężeń

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2005
• Tom: Vol. 57, nr 2-3
• Strony: 189--207
• Opis fizyczny: Bibliogr. 36 poz., rys., wykr.

Twórcy

autor

Selvadurai A. P. S.

• Department of Civil Engineering and Applied Mechanics McGill University, Montreal, QC, Canada

autor

Willner K.

• Lehrstuhl für Technische Mechanik Universität Erlangen Erlangen, Germany

autor

Gaul L.

• Institut A für Mechanik, Universität Stuttgart, Stuttgart, Germany

Bibliografia

• 1. G. C. Sih, Mechanics of fracture initiation and propagation, Kluwer Academic Publ., Dordrecht, The Netherlands, 1991.
• 2. Y. Murakami, Stress intensity factors handbook, Vols. 1 and 2, Pergamon Press, Oxford 1987.
• 3. B. K. Broberg, Cracks and fracture, Academic Press, San Diego 1999.
• 4. R. Michałowski and Z. Mróz, Associated and non-associated sliding rules in contact friction problems, Arch. Mech. Stos., 30, 259–276, 1978.
• 5. A. P. S. Selvadurai and G. Z. Voyiadjis [Eds.], Mechanics of material interfaces, Studies in applied mechanics, 17, Elsevier Sci. Publ. Co, Amsterdam 1995.
• 6. A. P. S. Selvadurai and M. J. Boulon [Eds.], Mechanics of geomaterial interfaces, Studies in Applied Mechanics, 17, Amsterdam: Elsevier Sci. Publ. Co, 1995.
• 7. F. Darve [Ed.], Geomaterials: Constitutive equations and modelling, Routledge, New York 1990.
• 8. C. S. Desai, Mechanics of materials and interfaces: The disturbed state concept, CRC Press, Boca Raton, FL 2000.
• 9. O. C. Zienkiewicz and R. L. Taylor, The finite element method, 2, Solid mechanics, Butterworth-Heinemann, Oxford 2000.
• 10. P. Wriggers and W. Wagner [Eds.], Computational mechanics: State of the art, Springer-Verlag, Berlin 2000.
• 11. K. Willner, Kontinuums- und kontaktmechanik: Synthetische und analytische darstellung, Springer-Verlag, Berlin 2003.
• 12. M. Mayer and L. Gaul, Modeling of contact interfaces using segment-to-segment elements for FE vibration analysis, Proc. IMAC XXIII Conf. and Exposition on Struct. Dynamics, Soc. Expt. Mech, Paper No. 96, 2005.
• 13. T. Andersson, The boundary element method applied to two-dimensional contact problems with friction, Boundary Element Methods, Proc. 3rd Int. Seminar C. A. Brebbia [Ed.], Springer-Verlag, Berlin 1981.
• 14. T. Andersson and B. G. Allan-Persson, The boundary element method applied to two-dimensional contact problems, Ch. 5 [in:] Progress in Boundary Element Methods C.A. Brebbia [Ed.], CML Publ., U.K., 2, 136–157, 1983.
• 15. A. P. S. Selvadurai and M. C. Au, Response of inclusions with interface separation, friction and slip, Proc. 7th Boundary Element Conf. Como, Italy C. A. Brebbia and G. Maier [Eds.], 14.109–14.127, 1985.
• 16. A. P. S. Selvadurai and M. C. Au, Crack behaviour associated with contact problems with nonlinear interface constraints, BETECH ‘89 Proc 4th Int Conf on Boundary Element Technology, C. A. Brebbia and N. G. Zamani [Eds.], Windsor Ontario, 3–17, 1989.
• 17. A. P. S. Selvadurai and M. C. Au, Cracks with frictional surfaces: a boundary element approach, Proc 9th Boundary Element Conf., C. A. Brebbia [Ed.], Springer-Verlag, 211–30, Berlin 1988.
• 18. A. P. S. Selvadurai, Mechanics of a rock anchor with a penny-shaped basal crack, Int. J. Rock. Mech. Min. Sci., 30, 1285–1290, 1993.
• 19. C. A. Brebbia CA, J. C. P. Telles, L. C. Wrobel, Boundary element techniques. Theory and applications in engineering, Springer-Verlag, Berlin 1984.
• 20. L. Gaul, M. Kögl and M. Wagner, Boundary element methods for engineers and scientists. An introductory course with advanced topics, Springer-Verlag, Berlin 2003.
• 21. J. F. Belak, Nanotribology, MRS Bulletin, 18, 15–16, 1993.
• 22. B. Bushan, Handbook of micro/nanotribology, Volume I CRC Press, Boca Raton, FL 1995.
• 23. C. S. Desai and H. J. Siriwardane, Constitutive laws for engineering materials with emphasis on geologic materials, Prentice-Hall, Upper Saddle River, NJ, 1984.
• 24. J. C. Lubliner, Plasticity theory, Collier-Macmillan, New York 1990.
• 25. R. O. Davis and A. P. S. Selvadurai, Plasticity and geomechanics, Cambridge University Press, Cambridge 2002.
• 26. M. H. Aliabadi, Boundary element formulations in fracture mechanics, Appl. Mech. Rev., 50, 83–96, 1997.
• 27. A. P. S. Selvadurai, Nonlinear interfaces and fracture mechanics, Wiss. Zeit. der Hoch. für Arch. und Bauwesen, Weimar, 37, 21–23 1991.
• 28. A. P. S. Selvadurai, Micro-mechanics of a segmented embedded fibre, Proceedings IUTAM Symposium on Anisotropy, Inhomogeneity and Non-Linearity in Solid Mechanics, D. F. Parker, A. H. England [Eds.], Nottingham, UK, Kluwer Academic Publishers, The Netherlands, 391–396, 1995.
• 29. R. D. Henshell and K. G. Shaw, Crack tip elements are unnecessary, Int. J. Num. Meth. Engng., 17, 495–507, 1975.
• 30. R. S. Barsoum, On the use of isoparametric finite elements in linear elastic fracture mechanics, Int. J. Num. Meth. Engng., 10, 25–37, 1976.
• 31. T. A. Cruse and R. B. Wilson, Boundary integral equation methods for elastic fracture mechanics, AFOSR-TR-0355, 1977.
• 32. A. P. S. Selvadurai, Matrix crack extension at a frictionally constrained fiber, J. Engng. Mat. Tech. Trans. ASME, 116, 398–402, 1994.
• 33. A. P. S. Selvadurai and A. ten Busschen, Mechanics of the segmentation of an embedded fiber. Part II, Computational modelling and comparison, J. Appl. Mech., Trans ASME, 62, 98–107, 1995.
• 34. A. P. S. Selvadurai, Fracture evolution during indentation of a brittle elastic solid, Mech. Cohes.-Frict. Mater., 5, 325–39, 2000.
• 35. Z. T. Bieniawski, Mechanics of brittle fracture of rock, Int. J. Rock Mech. Min. Sci., 4, 395–430, 1967.
• 36. H. Horii and S. Nemat-Nasser, Brittle failure in compression: Splitting, faulting, and brittle-ductile transition, Phil.Trans. Roy. Soc., 319, 1549, 337–374, 1986.