Scholarly record
NUMERICAL DETERMINATION OF TENTION MODE STRESS INTENSITY FACTOR IN JOINTED ROCK MEDIUM USING STRESS EXTRAPOLATION METHOD
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.
Publication details
References10
Sanford, R. J., "Principle of Fracture Mechanics", First edition, Prentice Hall, Inc., USA, 387 p, 2003.
Banks-Sills, L., and Sherman, D., "Comparison of methods for calculating stress intensity factors with quarter-point elements", International Journal of Fracture, Vol. 32, pp. 127-140, 1986.
Shen, B., "Mechanics of fractures and intervening bridges in hard rock", Doctoral thesis, Royal Institute of Technology, Stockholm, Division of Engineering Geology; 1993.
Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., and Krysl, P., "Meshless methods: an overview and recent developments ", Comput. Methods Appi. Mech. Engrg., Vol. 139, pp. 3-47, 1996.
Chang, S.H., Lee, CL, and Jeon, S., "Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens", Engineering Geology, Vol. 66, pp. 79-97, 2002.
Belytschko, T., Lu Y. Y., Gu, L. "Element-free Galerkin methods", Int. J. Numer. Methods Engrg., Vol. 37, pp. 229-256, 1994.
Brighenti, R., "Application of the element-free Galerkin meshless method to 3-D fracture mechanics problems", Engineering Fracture Mechanics, Vol. 72, pp. 2808-2820, 2005.
Li, S., and Liu, W. K., "Meshfree and particle methods and their applications", Appi Mech Rev, Vol. 55, no 1, pp. 1-34, 2002.
Ghajar, R., "An introduction to fracture mechanics", First edition, Khaje Nsireddin university of technology, Tehran, 254 p., 2002.
Javidrad, F., "Fracture Mechanics and it's applications in engineering", First edition, Air & Space industry Inc., Tehran, 448 p., 2004.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.
