Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-30T23:15:12.079Z Has data issue: false hasContentIssue false
  • English
  • Français

Determination of effective properties of granite rock: A numerical investigation

Published online by Cambridge University Press:  12 July 2018

Rehema Ndeda ,
S. E. M Sebusang ,
R. Marumo  and
Erich O. Ogur
Rehema Ndeda*
Affiliation:
Department of Mechanical Engineering, University of Botswana
S. E. M Sebusang
Affiliation:
Department of Mechanical Engineering, University of Botswana
R. Marumo
Affiliation:
Department of Mechanical Engineering, University of Botswana
Erich O. Ogur
Affiliation:
Department of Mechanical and Mechatronic Engineering, Technical University of Kenya
*
*Corresponding author e-mail: [email protected]
Get access

Abstract

Macroscopic strength of the rock depends on the behavior of the micro constituents, that is, the minerals, pores and crack profile. It is important to determine the effect of these constituents on the overall behavior of the rock. This study seeks to estimate the effective elastic properties of granite using the finite element method. A representative volume element (RVE) of suitable size with spherical inclusions of different distribution is subjected to loading and the effective elastic properties determined. The results are compared to those obtained from analytical methods. The elastic properties are obtained in both the axial and transverse direction to account for anisotropy. It is observed that there is congruence in the results obtained both analytically and numerically. The method of periodic microstructures exhibits close agreement with the numerical results.

Keywords

elastic propertiesmicrostructuremodelingheterogenous
Type
Articles
Information
MRS Advances , Volume 3 , Issue 37: African Materials Research Society 2017 , 2018 , pp. 2159 - 2168
Copyright
Copyright © Materials Research Society 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Chae, B. G., Seo, Y. S., Geosciences Journal 15, 387 (2011).CrossRefGoogle Scholar
Pouya, A., Ghoreychi, M., Int. J. Numer. Anal. Methods Geomech. 25, 1285 (2001).CrossRefGoogle Scholar
Massart, T., Selvadurai, A., Int. J. Rock Mech Min. 70, 593 (2014).Google Scholar
Pelissou, C., Baccou, J., Monerie, Y., Perales, F., Int. J. Solids Struct. 46, 2842 (2009).CrossRefGoogle Scholar
Guike, Z., Weiya, X., Rock and Soil Mechanics 29, 1675 (2008).Google Scholar
Segurado, J., Llorca, J., J Mech Phys Solids, 50, 2107 (2002).CrossRefGoogle Scholar
Benveniste, Y., Mech Mater. 6, 147 (1987).CrossRefGoogle Scholar
Luther, D. I. T., Ph.D. thesis, Bauhaus–University, 2005.Google Scholar
Michel, J. C., M. H., S. P., Comput. Methods Appl. Mech. Eng. 172, 109 (1999).CrossRefGoogle Scholar
Goodarzi, M., Rouainia, M., Aplin, A., Computat Geosci. 20, 1109 (2016).CrossRefGoogle Scholar
Klusemann, B., Svendsen, B., Tech Mech. 30, 374 (2010).Google Scholar
Chalhoub, M., Pouya, A., Electron J Geotech Eng 13, 1 (2008).Google Scholar
Giraud, A., Gruescu, C., Do, D., Homand, F., Kondo, D., Int. J. Solids Struct. 44, 2627 (2007).CrossRefGoogle Scholar
Gruescu, C., Giraud, A., Homand, F., Kondo, D., Do, D., Int. J. Solids Struct. 44, 811 (2007).CrossRefGoogle Scholar
Berger, H., et al. , Int. J. Solids Struct. 42, 5692 (2005).CrossRefGoogle Scholar
Gabssi, N., Karrech, A., Hamdi, E., Procedia engineering 191, 369 (2017).CrossRefGoogle Scholar
Luciano, R., Barbero, E., Int. J. Solids Struct. 31, 2933 (1994).CrossRefGoogle Scholar
Schedl, A., Kronenberg, A., Tullis, J., Tectonophysics 122, 149 (1986).CrossRefGoogle Scholar
Kiran, R., Preprints, 2016.Google Scholar
Segurado, J., Llorca, J., J Mech Phys Solids 50, 2107 (2002).CrossRefGoogle Scholar