Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method

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Min, Ki-Bok; Jing, Lanru
Issue Date
Int J Rock Mech Min Sci 2003;40:795-816
distinct element methodcompliance tensorfractured rock mass
The purpose of this paper is to establish a methodology to determine the equivalent elastic properties of fractured rock masses by
explicit representations of stochastic fracture systems, and to investigate the conditions for the application of the equivalent
continuum approach for representing mechanical behavior of the fractured rock masses. A series of numerical simulations of
mechanical deformation of fractured rock masses at different scales were conducted with a large number of realizations of discrete
fracture networks (DFN), based on realistic fracture system information and using the two-dimensional distinct element program,
UDEC. General theory of anisotropic elasticity was used for describing the macroscopic mechanical behavior of fractured rock
masses as equivalent elastic continua. Verification of the methodology for determining the elastic compliance tensor was conducted
against closed-form solutions for regularly fractured rock mass, leading to very good agreements. The main advantage of the
developed methodology using the distinct element method is that it can consider complex fracture system geometry and various
constitutive relations of fractures and rock matrix, and their interactions. Two criteria for the applicability of equivalent continuum
approach were adopted from the investigations: (i) the existence of a properly defined REV (representative elementary volume) and
(ii) the existence of an elastic compliance tensor. For the problems with in situ conditions studied in this paper, the results show that
a REV can be defined and the elastic properties of the fractured rock mass can be represented approximately by the elastic
compliance tensor through numerical simulations.
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Energy Systems Engineering (에너지시스템공학부)Journal Papers (저널논문_에너지시스템공학부)
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