Boundary Elements And Other Mesh Reduction Methods XXVIII by C. A. Brebbia, J. T. Katsikadelis, C. A. Brebbia, J. T.

By C. A. Brebbia, J. T. Katsikadelis, C. A. Brebbia, J. T. Katsikadelis

This ebook includes the edited lawsuits of the twenty eighth global convention on Boundary parts, an across the world well-known discussion board for the dissemination of the newest advances on Mesh relief strategies and their purposes in sciences and engineering. The ebook publishes articles facing computational matters and software program advancements as well as these of a extra theoretical nature. Engineers and scientists in the parts of numerical research, boundary components and meshless tools will locate the textual content worthwhile. themes contain: Advances in Mesh relief tools; Meshless innovations; complex Formulations; twin Reciprocity technique; changed Trefftz approach; primary answer technique; harm Mechanics and Fracture; complicated Structural functions; Dynamics and Vibrations; fabric Characterization; Acoustics; electric Engineering and Electromagnetics; warmth and Mass move; Fluid Mechanics difficulties; Wave Propagation; Inverse difficulties and Computational recommendations.

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Keywords: bumps in deep mines, the most probable disconnecting curve, slip condition, constitutive behavior. 1 Introduction Bumps or rock bursts are phenomenon, which occurs in deep mines and mostly it is qualified as a sudden release of internal energy concentrated at the face of the the shaft in longwall mining. This extreme concentration can be caused by material changes in the overburden rock massif, of distant local disturbances, like creation of cracks, emission of gas, human activities in the neighborhood of the site of mining, etc.

Figure 2: Hypsography of principal shear stresses – elastic case. A different situation is described in Fig. 3 where plasticity is reached and a part of the region A is fully plasticized. At the most dangerous point the stresses principally drop and the danger of bumps occurrence is basically lower than before. Such a situation can occur when very slow mining takes place. For the sake of completeness, distribution of horizontal displacements are shown in Fig. 4. Because the coal seam is very deep, the lower boundary of the body can be considered as the axis of symmetry.

Figure 1: Geometry of the structure under consideration. Cundall in [1] established basic ideas on distinct elements, which can describe large displacements in structures. Dynamic equilibrium is considered and ball elements simulate the 3D movement of particles. A generalization is given in [2] concerning granular material. Onck et al. came with hexagonal elements, which, in opposite to Cundall [1], enable one to describe also stresses in the structure. com, ISSN 1743-355X (on-line) Boundary Elements and Other Mesh Reduction Methods XXVIII 43 disadvantage of this approach is the fact that FEM is used for a description of internal behavior in each element and there is a numerical discrepancy in the formulation.

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