Elasto-plastic analysis of jointed rocks using discrete continuum and equivalent continuum approaches

• Published in: International journal of rock mechanics and mining sciences (Oxford, England : 1997) England : 1997), 2012-07, Vol.53, p.56-63
• Main Authors: Madhavi Latha, Gali, Garaga, Arunakumari
• Format: Article
• Language: English
• Subjects: Applied sciences; Buildings. Public works; Computer simulation; Continuums; Discrete continuum model; Elasto-plastic analysis; Equivalence; Equivalent-continuum model; Exact sciences and technology; Geotechnics; Jointed rock mass; Mathematical models; Numerical analysis; Numerical simulations; Rocks; Soil mechanics. Rocks mechanics; Strain; Strength of materials (elasticity, plasticity, buckling, etc.); Structural analysis. Stresses; Tunnels, galleries
• ISSN: 1365-1609; 1873-4545
• DOI: 10.1016/j.ijrmms.2012.03.013

Results from elasto-plastic numerical simulations of jointed rocks using both the equivalent continuum and discrete continuum approaches are presented, and are compared with experimental measurements. Initially triaxial compression tests on different types of rocks with wide variation in the uniaxial compressive strength are simulated using both the approaches and the results are compared. The applicability and relative merits and limitations of both the approaches for the simulation of jointed rocks are discussed. It is observed that both the approaches are reasonably good in predicting the real response. However, the equivalent continuum approach has predicted somewhat higher stiffness values at low strains. Considering the modelling effort involved in case of discrete continuum approach, for problems with complex geometry, it is suggested that a proper equivalent continuum model can be used, without compromising much on the accuracy of the results. Then the numerical analysis of a tunnel in Japan is taken up using the continuum approach. The deformations predicted are compared well against the field measurements and the predictions from discontinuum analysis. ► Discrete continuum and equivalent continuum methods for modelling jointed rocks are compared. ► Triaxial tests on different rocks are modelled using both the approaches. ► Efficacy of both the methods is compared against experimental measurements. ► A tunnel is modelled using continuum approach and results are compared. ► Equivalent continuum approach is simple and the results are very close to other approach