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3 33 HIERARCHICAL SINGLE SURFACE CONCEPT A schematic diagram of the HISS concept is shown in Figure 1 . The idea here is that models of progressive complexities are developed by adding to the basic model the effects of various attributes of the complexities. For instance, the damage and softening model (80 + ,) is obtained by adding to the basic model (80) the effects of microcracking and fracturing during the deformation process. The concept can be used with any appropriate theoretical framework; at this time, the theory of plasticity is used.
1111 2£ 0 0 Figure 16 (a) Development of shear bands around an elliptical opening loaded beyond the compressive strength of the rock (20 M Pa). Stress parallel to long axis of ellipse = 70 MPa. Stress parallel to short axis of ellipse = 35 M Pa; and (b) progressive development of slip in a failing slope in granular material code . The computational procedure, in effect, 'mimics' very closely the actual physical response of materials to applied loading. In this case, elements of the finite difference grid around the boundary of the elliptical opening have been assigned strength properties that vary slightly, in random fashion, about a mean value.
Filonenko-Borodich M. Theory of Elasticity (English Translation). Moscow Publishing House, Moscow ( 1964). 7. Heyman J. The stone skeleton. Int. J. Solids Struct. 2, 249-279 ( 1966). 8. Lang T. A. and Bischoff J. A. Stability of reinforced rock structure. In Design and Performance of Underground Excavations (Edited by E. T. Brown and J. A. Hudson), pp. J l-18. British Geotechnical Society, London ( 1984). 9. Labasse H. Les pressions de terrains autour des puits. Rev. Univers. Mines Metal/. Mee.