Strength Properties of Jointed Rock Masses Based on the Homogenization Method
This paper aims to determine the strength properties of jointed rock masses by means of the homogenization method. To reflect the microstructure of jointed rock masses, a representative element volume (REV) is selected. Assuming being rigid and perfectly plastic and utilizing the Mohr-Coulomb yield criterion for rock and joints, an upper bound limit analysis method is proposed based on the homogenization theory. By using the finite element method and Goodman joint element, a nonlinear mathematical programming with equality constraints is formulated, which can be solved by a direct iterative algorithm. Numerical results show the strength of jointed rock masses behaves anisotropy with different joint directions. This method presents an effective tool for the strength analysis of jointed rock masses.
Key wordsjointed rock mass homogenization representative element volume (REV) upper bound limit analysis anisotropy
Unable to display preview. Download preview PDF.
- Goodman, R.E., Taylor, R.E. and Breeke, T., A model for the mechanics of jointed rock. ASCE Journal of the Soil Mechanics and Foundations Division, 1968, 94(3): 637–659Google Scholar
- Gerard, C.M., Elastic models of rock masses having one, two and three sets of joints. International Journal for Numerical and Analytical Methods in Geomechanics Abstract, 1982, 19: 15–23.Google Scholar
- Zhang, W. and Zhang, X.H. Elastic models of jointed rock mass. Chinese Journal of Geotechnical Engineering, 1987, 9(4): 33–44 (in Chinese).Google Scholar
- Yang H.T, and Wang G., Numerical analysis of jointed rock with two models. Chinese Journal of Geotechnical Engineering, 1999, 21(3): 273–276 (in Chinese).Google Scholar
- Zhang, Y.J., Equivalent model and numerical analysis and laboratory test for jointed rock masses. Chinese Journal of Geotechnical Engineering, 2006, 28(1): 29–32 (in Chinese).Google Scholar
- Cai, M. and Horii, H., A constitutive model and FEM analysis of jointed rock masses. International Journal for Numerical and Analytical Methods in Geomechanics Abstract, 1993, 30(4): 351–359.Google Scholar
- Ren, Q. and Xu W.Y., Homogenizaiton-based method for predicting effective elastic properties of jointed rock. Engineering Mechanics, 2008, 25(4): 75–79 (in Chinese).Google Scholar
- Francescato, P. and Pastor, J., Lower and upper numerical bounds to the off-axis strength of unidirectional fiber-reinforced composite by limit analysis methods. European Journal of Mechanics A/Solids, 1997, 16: 213–234.Google Scholar
- Zhang, H.T., Liu, Y.H. and Xu, B.Y., Lower bound limit and shakedown analysis of orthotropic structures. Engineering Mechanics, 2006, 23(1): 11–16 (in Chinese).Google Scholar
- Gong, X.N., Soil Plasticity. Zhejiang University Press, 1999 (in Chinese).Google Scholar
- Yu, H.S and Sloan, S.W., Bearing capacity of jointed rock. In: Proceedings of the 8th International Conference on Computer Methods and Advances in Geomechanics, West Virginia: Balkema Publishers, 1994: 2403–2408.Google Scholar