A three-dimensional displacement discontinuity method for crack problems in layered rocks

A new displacement discontinuity method (DDM) is developed for the analysis of crack problems in layered strata. This approach is based on the fundamental solution of multilayered elastic solids. The discontinuous displacements of crack surfaces are treated as unknown quantities. In developing the D...

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Bibliographic Details
Published in:International journal of rock mechanics and mining sciences (Oxford, England : 1997) England : 1997), 2011-04, Vol.48 (3), p.412-420
Main Authors: Xiao, H.T., Yue, Z.Q.
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Cracks
DDM
Discontinuity
Displacement
Displacement discontinuity method
Exact sciences and technology
Generalized Kelvin solution
Geotechnics
Heterogeneity
Integral equations
Layered rocks
Mathematical analysis
Mathematical models
Rocks
Soil mechanics. Rocks mechanics
Square cracks
Strata
Stress intensity factors
Structural analysis. Stresses
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Summary:A new displacement discontinuity method (DDM) is developed for the analysis of crack problems in layered strata. This approach is based on the fundamental solution of multilayered elastic solids. The discontinuous displacements of crack surfaces are treated as unknown quantities. In developing the DDM, discontinuous elements and special functions are applied to describe the variation of discontinuous displacements. The numerical method is used to calculate the hypersingular integral in the integral equation. Then, the numerical verification shows that the present results are in very good agreement with the existing ones. Finally, the proposed method is used to analyze the square crack in layered rocks, which consist of fine-grained sandstone and mudstone. The stress intensity factors (SIFs) are obtained for different cases including uniform and non-uniform loads. The results show that the heterogeneity of layered strata exerts a clear and quantitative influence on the SIFs of the cracks in layered rocks.
ISSN:1365-1609
1873-4545
DOI:10.1016/j.ijrmms.2011.02.005