Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method

Zhu, Bingli; Shi, Yaolin; Sukop, Michael C.; Li, Y.B.; Qin, Taiyan

doi:10.1016/j.cma.2009.02.031

Cited by 5 publications

(3 citation statements)

References 34 publications

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“…Zhong et al (2009b) and Zhong and Zhang (2010) investigated the transient response of a magneto-electro-elastic material with a penny-shaped or two collinear dielectric cracks subjected to in-plane magneto-electromechanical impacts. Zhu et al (2009) using the hybrid hypersingular integral equation method, reported a theoretical and numerical description of the generalized three dimension (3D) fluid (electromagnetic and flow)-driven crack progression in co-seismic slip under P-and S-waves. So far, to our best knowledge, there is not much work about 3D fracture problems in magneto-electro-elastic media, especially using the Schmidt method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Zhang

2011

International Journal of Solids and Structures

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a b s t r a c tThe dynamic behavior of a rectangular limited-permeable crack deeply embedded in transversely isotropic magneto-electro-elastic media was investigated under an incident harmonic stress wave using the generalized Almansi's theorem and the Schmidt method. With the help of the Fourier transform, this problem was formulated into three pairs of dual integral equations with the jumps in displacement across the crack surfaces as the unknown variables. By directly expanding the jumps in displacement across the crack surfaces into a series of Jacobi polynomials, the solution to the dual integral equations was derived. Finally, the dynamic response of a rectangular crack under a harmonic wave was analyzed, and the effects of the electric permittivity and the magnetic permeability of air inside the crack, the geometric shape of the rectangular crack and the characteristics of the harmonic wave on the stress, the electric displacement and the magnetic flux intensity factors in magneto-electro-elastic media were concluded.

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Section: Introductionmentioning

confidence: 99%

Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Zhang

2011

International Journal of Solids and Structures

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“…However, the relative stress changes before and after the slope excavation is easier to be obtained by the numerical calculation. Based on the previous work (Zhu et al, 2009a(Zhu et al, , 2011, we take the Coulomb failure stress (CFS) theory to evaluate the steep slope excavation . The most dangerous internal area, the most possible failure external surface area and the slip angle can be attained through this method.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of steep excavation slope failure by CFS theory

2012

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The distribution of Coulomb failure stress (CFS) change in the steep excavation slope is calculated by finite element method in this paper, and the failure mechanics under different conditions have been investigated. Comparing the CFSs before and after the slope excavation (stress loading and unloading processes), the dangerous internal zone and the most likely failure external area are attained. Given the shear cracks on the top surface while tensile stress or cracks along the toe of the slope, we analyze the high cutting-angle steep slope in Kaixian county of the Three Gorges Reservoir region. We bring forward that the peak value of CFS after excavation can reach to the order of 0.1 MPa, which is greatly higher than that of before. Our preliminary results are useful for optimizing the reinforcement structure during the steep slope stabilization engineering.

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“…First, based on previous works [18][19][20], and on computerized tomography technology, virtual physical models at different spatial scales (2 m, 5 m and 10 m) were restructured on parallel CPU and GPU platforms. Second, the anisotropic porosity and permeability tensor at both core level and pore level under ultra high temperature and pressure conditions were calculated.…”

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Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

et al. 2012

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Based on the hybrid hypersingular integral equation-lattice Boltzmann methods (HHIE-LBM), the porosity and permeability evolution and evaluation process in anisotropic saturated porosity multiscale-multiphase-multicomponent (ASP-MS-MP-MC) structures under ultra high temperature and pressure conditions was analyzed on parallel CPU and GPU platforms. First, virtual physical models at multi-spatial scales (2 µm, 5 µm and 10 µm) were restructured by computerized microtomography technology and data. Second, using HHIE-LBM methods, the anisotropic porosity and permeability tensor at core level and pore level under ultra high temperature and pressure conditions were calculated. Third, the evolution and evaluation process of the porosity and permeability as a function of multi temporal spatial scales was investigated. Finally, the relationship between porosity and permeability and ASP-MS-MP-MC structures (micro-meso-macro-scale) was explored.porosity and permeability tensor, anisotropic saturated porosity multiscale-multiphase-multicomponent structures, hypersingular integral equation method, lattice Boltzmann method, ultra temperature and pressure, parallel CPU and GPU Citation: Zhu B J, Cheng H H, Qiao Y C, et al. Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure. Chin Sci Bull, 2012Bull, , 57: 320327, doi: 10.1007 In the past 10 years, with developments in geophysics, seismology, mechanics and materials, the anisotropic saturated porosity multiscale-multiphase-multicomponent (ASP-MS-MP-MC) structures have attracted the attention of researchers for its wide application in these interdisciplinary fields. However, many micro-meso-macro mechanisms have not yet been clearly evaluated, especially with regard to their structural physical characteristics. To investigate the porous physical character and structure problem, Berger [1] explored fabric tensors of anisotropic porous solids using boundary elements and the Green's function method. Roberts and Garboczi [2] studied elastic properties of porous ceramics using a finite element method, and established the relationship between pore shape and structure. Almqvist et al. [3,4] used measured seismic velocities to analyze the elastic properties of anisotropic synthetic aggregates, containing mixtures of calcite and muscovite, under uniaxial loads ranging from 20 MPa up to 400 MPa. Zhang [5,6] presented the physical mechanism of fully and partially saturated geomaterials, and obtained significant results for the complex coupled fluid-solid system. Wei [7] provided the governing equation of static and dynamic behavior of multiphase porous media. Diabiraa et al.[8] discussed the porosity and permeability evolution accompanying hot fluid injection into the diatomite problem. Mark [9] explored permeability in fibrous porous mediausing the

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Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method

Cited by 5 publications

References 34 publications

Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Finite element analysis of steep excavation slope failure by CFS theory

Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

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