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Title: Extended finite element method (XFEM) for analysis of cohesive rock joint
Authors: Deb, Debasis
Das, Kamal Ch
Keywords: XFEM
Heaviside function
Partition of unity
Shear strength of rock joint
Issue Date: Jul-2009
Publisher: CSIR
Abstract: Recent developments in extended finite element method (XFEM) having strong discontinuity imbedded within a regularelement provide an opportunity to analyze discrete discontinuities in rock mass without any numerical illposedness. XFEMis based on partition unity principle and can be used for cohesive rock joints. Equilibrium equation and traction condition aresolved by Newton-Raphson method to obtain nodal displacements and external load simultaneously. This paper summarizesmathematical frameworks for implementation of strong discontinuities in 3 and 6 nodded triangular elements and alsoprovides numerical examples of application of XFEM in one and two dimensional problems with single joint. Resultsobtained from XFEM are in good agreement to those of analytical as well as experimental results.
Page(s): 575-583
ISSN: 0022-4456
Source:JSIR Vol.68(07) [July 2009]

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