An Improved Discontinuous Deformation Analysis to Solve Both Shear and Tensile Failure Problems
- 18 Downloads
This paper is mainly aimed to present an improved DDA (discontinuous deformation analysis) that can deal well with both shear and tensile failure problems. Firstly, the shear mechanism of DDA is detailed investigated. The results show that when handling the frictional interface, the critical shear resistance can be accurately determined only if the penalty value is carefully selected, however, when handling the cohesive interface, the critical shear resistance is significantly underestimated. The inaccurate prediction is due to the inconsistent distribution of normal force and shear force between the two vertex-to-edge contacts in one edge-to-edge contact. Here an edge-to-edge treatment is introduced into DDA. Secondly, to moderately reflect the tensile failure process of rock masses, a two-phase constitutive model is introduced into the DDA with edge-to-edge treatment, and the improved DDA is obtained. Finally, the improved DDA is used to simulate the failure process of gypsum centrifuge model. The results show the improved DDA can deal well with rock failure problems by shear or tension failure.
KeywordsDDA shear mechanism tensile strength vertex-to-edge contact edge-to-edge contact centrifuge model
Unable to display preview. Download preview PDF.
- Barton, N. and Bandis. S. (1982). “Effects of block size on the shear behavior of jointed rock.” Proc. 23th US Symp. on Rock Mechanics., Berkeley, CA, USA, pp. 739–760.Google Scholar
- Goodman, R. E. and Bray, J. W. (1976). “Toppling of rock slopes.” Proc. The Specialty Conference on Rock Engineering for Foundations and Slopes, American Society of Civil Engineering, Boulder, CO, USA, pp. 739–760.Google Scholar
- Hsiung, S. M. (2001). “Discontinuous deformation analysis (DDA) with nth order polynomial displacement functions.” Proc. 38th US Rock Mechanics Symposium, Washington D.C., USA, pp. 1437–1444.Google Scholar
- Huang, D., Song, Y. X., Cen, D. F., and Fu, G. Y. (2016). “Numerical modeling of earthquake-induced landslide using an improved discontinuous deformation analysis considering dynamic friction degradation of joints.” Rock Mechanics & Rock Engineering, Vol. 49, No. 12, pp. 4767–4786, DOI: 10.1007/s00603-016-1056-3.CrossRefGoogle Scholar
- Jiang, Q. H., Cheng, Y. F., Zhou, C. B., and Yeung, M. C. R. (2013). “Kinetic energy dissipation and convergence criterion of discontinuous deformation analysis (DDA) for geotechnical engineering.” Rock Mechanics and Rock Engineering, Vol. 46, No. 6, pp. 1443–1460, DOI: 10.1007/s00603-012-0356-5.CrossRefGoogle Scholar
- Kitoh, H., Takeuchi, N., Ueda, M., Higuchi, H., Kambayashi, A., and Tomida, M. (1997). “Size effect analysis of plain concrete beams by using RBSM.” Proc. 2nd International Conference on Analysis of Discontinuous Deformation, Japan Institute of Systems Research, Kyoto, Japan, pp. 373–382.Google Scholar
- Maclaughlin, M. M. (1997). Discontinuous deformation analysis of the kinematics of landslides. PhD Thesis, University of California, Berkeley, CA, USA.Google Scholar
- Shi, G. H. (1988). Discontinuous deformation analysis–A new numerical model for the statics and dynamics of block systems. PhD Thesis, University of California, Berkeley, CA, USA.Google Scholar
- Yeung, M. C. R. (1991). Application of Shi’s discontinuous deformation analysis to the study of rock behavior. PhD Thesis, University of California, Berkeley, CA, USA.Google Scholar
- Zhang, Y. B., Xu, Q., Chen, G. Q., Zhao, J. X., and Zheng, L. (2014). “Extension of discontinuous deformation analysis and application in cohesive-friction slope analysis.” International Journal of Rock Mechanics and Mining Sciences, Vol. 70, No. 9, pp. 533–545, DOI: 10.1016/j.ijrmms.2014.06.005.CrossRefGoogle Scholar