Rock failure analysis using smoothed-particle hydrodynamics

다국어 초록 (Multilingual Abstract)

This paper presents a numerical simulation for predicting fracture and failure growth of geomaterial using smoothed-particle hydrodynamics (SPH). The first example deals with slope stability analysis of a chromite mine having friable chromite as the ore body. The ultimate pit may reach up to 144m below the surface with an ultimate pit angle of 308 for 19 benches. It is require to forecast the stability of the ultimate pit slope for a given material and pit geometry. This paper analyses the stability of this slope by considering Drucker–Prager rock mass medium using the SPH procedure. The second example comprises the fracture growth of a circular rock specimen under diametrically opposite concentrated angular loads. In order to determine the plastic regime of the specimen for a given tensile strength, the Rankine maximum tensile failure criterion is implemented in the SPH framework.

참고문헌 (Reference)

1 Benz, W., "The origin of the moon and the single-impact hypothesis III" 81 : 113-131, 1989

2 Hondros, G., "The evaluation of Poisson’s ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete" 10 : 243-268, 1959

3 Gingold, R., "Smoothed particle hydrodynamics-theory and application to non-spherical stars" 181 : 375-389, 1977

4 Swegle, J. W., "Smoothed particle hydrodynamics stability analysis" 116 (116): 123-134, 1995

5 Monaghan, J. J., "Smoothed particle hydrodynamics" 30 : 543-574, 1992

6 Gray, J. P., "SPH elastic dynamics" 190 : 6641-6662, 2001

7 Tang, C., "Numerical studies of the influence of microstructure on rock failure in uniaxial compression-Part I : Effect of heterogeneity" 37 : 555-569, 2000

8 Wong, R. H. C., "Microcracking and grain size effect in Yuen Long marbles" 33 : 479-485, 1996

9 Bui, H. Ha, "Lagrangian mesh-free particle method (SPH) for large deformation and postfailure of geomaterial using elasticplastic soil constitutive model" 32 : 1537-1570, 2008

10 Libersky, L. D., "High strain Lagrangian hydrodynamics : A three dimensional SPH code for dynamic material response" 109 : 67-75, 1993

11 Sprunt, E., "Direct observation of microcavities in crystalline rocks" 11 : 139-150, 1974

12 Chen, S., "Digital image-based numerical modeling method for prediction of inhomogeneous rock failure" 41 : 939-957, 2004

13 Fang, Z., "Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks" 39 : 443-457, 2002

14 Blair, S., "Analysis of compressive fracture I rock using statistical techniques : Part I. A non-linear rulebased model" 35 : 837-848, 1998

15 Ortiz, M., "A finite element method for localized failure analysis" 61 : 189-214, 1987

16 Potyondy, D., "A bonded particle model for rock" 41 : 1329-1364, 2004