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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]
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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 

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