By Guowei MA, Yingxin ZHOU
This ebook includes the 7 keynote papers written by means of the specialists, foreign well known researchers and experts and seventy three technical papers which mirror the state-of-the-practice at the research of Discontinuous Deformation: New improvement and purposes. those papers have been chosen after a rigorous evaluation approach. It represents the newest advances in numerical and analytical equipment relating to rock mechanics and engineering. Following the culture of the sequence, the most schemes of the papers are at the key block idea and its engineering functions, the discontinuous deformation research (DDA) technique and the numerical manifold process (NMM). besides the fact that, different proper subject matters, for instance, the distinct/discrete point procedure, the meshless strategy, the finite point approach in rock mechanics and engineering purposes also are integrated. For rock lots the place the discontinuities dominate their behaviour in a rock engineering process resembling rock slopes and underground rock caverns, the research of discontinuous deformation is of serious value within the balance research and engineering layout. it's was hoping that this publication serves as an invaluable reference for either researchers and engineers at the new advancements and purposes of a number of the to be had modeling ideas and instruments during this more and more vital box of rock mechanics and engineering. issues coated: * Key Block thought and Engineering purposes * Discontinuous Deformation research (DDA) process * Numerical Manifold strategy (NMM) * Distinct/Discrete point technique (DEM) * software of UDEC, 3DEC and PFC codes * Meshless technique and Rock Engineering functions * touch Algorithms * Wave Propagation via Rock Joint and Jointed Rock Mass * Deformation research of Heterogeneous fabrics * different complex Analytical and Numerical equipment in Rock Engineering * Experimental thoughts and dimension of Discontinuous Deformation * Case reviews and different suitable themes
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Extra resources for Analysis of Discontinuous Deformation New Developments and Applications
The barrage shows a rectangle shape in the horizontal plane with the width of 611 m across the river, and the length of 803 m along the river. There is an undulate topography on the barrage surface where the surface elevation at the left part, the front of the barrage body, is higher than that at the right. 9 m while the maximum elevation at the right is 775 m. 37 million m3 . 2. Geological condition Figure 4 shows the cross section of the landslide where the original slope surface is estimated.
1, there are two mathematical covers in total, denoted as MC1 and MC2 (Fig. 1(c)). The physical covers are the intersection of mathematical covers and the physical domain. If completely cut by the physical features, a mathematical cover MCI will be partitioned into 48 Analysis of Discontinuous Deformation: New Developments and Applications (b) CE1 PC12 PC12 PC 22 MC2 MC1 (a) PC11 (c) CE 2 CE3 (d) CE 4 CE5 (e) Figure 1. NMM components in 2D-NMM: (a) physical domain; (b) mathematical domain; (c) mathematical covers; (d) physical covers; (e) cover-based manifold elements.
This kind of methods is especially suitable for the simulation of large-scale displacements of individual blocks, block rotations, and complete detachment. It is often the case that individual discrete blocks can also fracture or fragment, which is in essence a process of transition from continua to discontinua. 12 The NMM was initially proposed by Shi in 1991. It gains her name after the mathematical notion of manifold. Different from other numerical approaches, the NMM adopts a finite number of small patches called covers to discretize the problem domain, defines local approximations called cover functions on each cover, and uses weight functions (or partition of unity functions) to paste the local approximations together to give a global approximation.