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NUMERICAL DETERMINATION OF TENTION MODE STRESS INTENSITY FACTOR IN JOINTED ROCK MEDIUM USING STRESS EXTRAPOLATION METHOD

AUTHOR/S: H. MIRZAEI, R. KAKAIE, B. HASSANI
Sunday 1 August 2010 by Libadmin2008

8th International Scientific Conference - SGEM2008, www.sgem.org, SGEM2008 Conference Proceedings/ ISBN: 954-918181-2, June 16-20, 2008, Vol. 1, 497-504 pp

ABSTRACT

Stress intensity factor is the one of most important parameters in rock fracture
mechanics. In practice, this factor is commonly calculated by various numerical
techniques such as finite element and boundary element methods. These methods
encounter mesh-related difficulties in dealing with fracture mechanics problems. In this
paper the Element Free Galerkin method based on the linear elastic fracture mechanics
was used to determine tension-mode stress intensity factor in jointed rock medium using
stress extrapolation method. The visibility criterion was applied to model the rock
fractures. In addition, Lagrange multipliers method was employed to enforce the
boundary conditions. To verify the computational capability and accuracy of the
method, an example of jointed sample including horizontal joint was considered under
tension load and the stress intensity factor was determined and evaluated. The stress
extrapolation method with %7 difference in comparison with analytical method has high
precision and it also shows good agreement with the displacement extrapolation method
based upon finite element method.

Keywords: Element Free Galerkin method, Stress intensity factor, stress extrapolation method, Rock fracture mechanics, Tension mode.