Rupture and Damage at Dilatant Geological Interfaces

Abstract:

The work discusses the processes that can be present at fractures and defects at geological interfaces. The introductory comment clearly indicates that the computational approaches offer the most appropriate methods for examining complex contact problems at geomaterial interfaces. There are, however, certain types of contact problems that are amenable to analytical treatment. The paper examines the problem of a circular dilatant-frictional patch located at an otherwise frictionless interface. The dilatancy processes are induced at the circular patch by the relative shear of the elastic regions. The paper presents a mathematical approach for the study of the problem where results from the solution of integral equations applicable for the internal indentation of a penny-shaped crack by a rigid inclusion and the internal pressurization of an annular crack are combined with a work-dissipation relationship to examine the mechanics of the interactions at the dilatant zone.

• Periodical: Key Engineering Materials (Volume 827)
• Pages: 422-427
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.827.422
• Online since: December 2019
• Authors: A.P.S. Selvadurai*
• Keywords: Dilatant Fractures, Interface Degradation, Interface Mechanics, Mathematical Contact Mechanics

References

[1] A.P.S. Selvadurai and M.J. Boulon, (eds.): Mechanics of Geomaterial Interfaces, (Kluwer Academic Publishers 1995).

[2] T.S. Nguyen and A.P.S. Selvadurai: Int. J. Num. Analyt. Meth. Geomech. Vol. 22 (1998), p.29.

[3] A.P.S. Selvadurai and T.S. Nguyen: Eng. Geol. Vol. 53 (1999), p.243.

[4] A.P.S. Selvadurai and Q. Yu: Comp. Geotech, Vol 32 (2005) 92.

[5] A.P.S. Selvadurai, A.P. Suvorov and P.A. Selvadurai: Geosci. Model Dev. Vol. 8 (2015) 2185.

[6] A.P.S. Selvadurai: Geofluids, Vol. 15 (2015) 37.

[7] A.P.S. Selvadurai, P.A. Selvadurai and A.P. Suvorov: Int. J. Engng. Sci. Vol. 133 (2018) 144.

[8] P.A. Selvadurai and S.D. Glaser: J. Geophys Res. (Solid Earth) Vol. 12 (2015) 4208.

[9] P.A. Selvadurai and S.D. Glaser: Geophys. J. Int. Vol.208 (2017) 1009.

[10] M.H. Aliabadi and C.A. Brebbia: Computational Methods in Contact Mechanics (Computational Mechanics Publ., 1993).

[11] K. Willner: Kontinuums- und Kontaktmechanik. Synthetische und analytische Darstelling (Springer Verlag, 2003).

DOI: 10.1007/978-3-642-55814-6_8

[12] A.P.S. Selvadurai, K. Willner and L. Gaul: Arch. Mech. Vol. 32 (2005) 1.

[13] A.P.S. Selvadurai and S.N. Atluri (Eds.) Contact Mechanics in the Engineering Sciences (Tech Science Press, 2010).

[14] A.P.S. Selvadurai: Continuum Mech.Thermodyn. Vol. 28 (2016) 617.

[15] D.A. Spence: Proc. Roy Soc. Ser. A Math. Phys, Vol. 305 (1968) 55.

[16] D.A. Spence: J. Elast. Vol. 5: (1975) 297.

[17] A.P.S. Selvadurai and A. Katebi: Acta Mech. Vol. 226 (2015) 249.

[18] A.P.S. Selvadurai and B.M. Singh: Quart. J. Mech. Appl. Math. Vol. 38 (1984) 233.

[19] A.P.S. Selvadurai and B.M. Singh: Int. J. Fracture. Vol.25 (1984) 69.

[20] A.P.S. Selvadurai: Mech Res. Comm.Vol.12 (1985) 347.

[21] A.P.S. Selvadurai: Mech. Res. Comm. Vol. 31 (1994) 83.

[22] D.W. Taylor: Fundamentals of Soil Mechanics (John Wiley, 1948).