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Expanding Study on the Block Element Analysis

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Computational Geomechanics and Hydraulic Structures

Part of the book series: Springer Tracts in Civil Engineering ((SPRTRCIENG))

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Abstract

In this chapter the principles and algorithms of the BEA are further extended to cover the reinforcement analysis, stochastic analysis, and seismic analysis. This is an important step towards more widespread and practical use of the BEA in hydraulic structures. Looked at as line segments penetrating through or embedding on discontinuities, the positions and/or the intersecting points of reinforcement components (bolts, piles, keys) with regard to discontinuities are pinpointed by the same pre-processor towards block system identification. The force and moment equilibrium equation, deformation compatibility equation and constitutive equation, are employed to establish the governing equation set for such a reinforced block system. In order to assess the reliability of a complex block system, stochastic analysis algorithms with the BEA are formulated using the approaches of the first-order second moment method and the Monte-Carlo method. Seismic analysis algorithm is implemented using a procedure similar to the dynamic FEM, in which the mass matrix, damping matrix and visco-elastic artificial boundary, are employed.

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Authors and Affiliations

  1. School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan, Hubei, P.R. China

    Sheng-hong Chen

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  1. Sheng-hong Chen
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Correspondence to Sheng-hong Chen .

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Chen, Sh. (2019). Expanding Study on the Block Element Analysis. In: Computational Geomechanics and Hydraulic Structures. Springer Tracts in Civil Engineering . Springer, Singapore. https://doi.org/10.1007/978-981-10-8135-4_12

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  • DOI: https://doi.org/10.1007/978-981-10-8135-4_12

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8134-7

  • Online ISBN: 978-981-10-8135-4

  • eBook Packages: EngineeringEngineering (R0)

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