Three-dimensional fracture propagation with numerical manifold method

Yang, Yongtao; Tang, Xiaohai; Zheng, Hong; Liu, Quansheng; He, Lei

doi:10.1016/j.enganabound.2016.08.008

Cited by 211 publications

(37 citation statements)

References 54 publications

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“…The nodal force is used as the load input for the mechanical fracture calculation of other numerical methods, such as the FEM, DEM, DDA, and NMM . Thus, thermal cracking of the rock mass can be simulated.…”

Section: Thermo‐mechanical Couplingmentioning

confidence: 99%

“…The nodal force is used as the load input for the mechanical fracture calculation of other numerical methods, such as the FEM, DEM, DDA, 46,47 and NMM. [48][49][50] Thus, thermal cracking of the rock mass can be simulated. The effect of cracks caused by thermal cracking on the heat transfer is taken into account by multiplying the heat exchange coefficient of the broken joint element by a suitable reduction factor r T .…”

Section: Thermal Stress Calculationmentioning

confidence: 99%

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A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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Summary A simple three‐dimensional heat transfer model is developed to consider the hindering effect of cracks on heat transfer. The 3D heat transfer model can also be applied to numerical methods such as the combined finite‐discrete element method (FDEM), discrete element method (DEM), discontinuous deformation analysis (DDA), the numerical manifold method (NMM), and the finite element method (FEM) to construct thermo‐mechanical coupling models that allow these methods to solve thermal cracking problems and dynamically consider the hindering effect of cracks on heat transfer. In the 3D heat transfer model, the continuous‐discontinuous medium is discretized into independent tetrahedral elements, and joint elements are inserted between adjacent tetrahedral elements. Heat transfer calculations for continuous‐discontinuous media are converted to heat conduction in tetrahedral elements and the heat exchange between the adjacent tetrahedral elements through the joint element. If the joint element between adjacent tetrahedral elements breaks (ie, a crack generates), the heat exchange coefficient of the joint element is reduced to account for the hindering effect of cracks on heat conduction. Then the model and the FDEM are combined to build a thermo‐mechanical coupling model to simulate thermal cracking. The thermally induced deformation, stress, and cracking are investigated by the thermo‐mechanical coupling model, and the numerical results are compared with analytical solutions or experimental results. The 3D heat transfer model and thermo‐mechanical model can provide a powerful tool for simulating heat transfer and thermal cracking in a continuous‐discontinuous medium.

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Section: Thermo‐mechanical Couplingmentioning

confidence: 99%

Section: Thermal Stress Calculationmentioning

confidence: 99%

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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“…More importantly, fracture paths in NMM can pass through elements and therefore are not required to propagate along element boundaries. Due to these attractive advantages, NMM has been successfully used to model many types of engineering problems, such as contact problems, 17 seepage flow analysis in porous media, 18,19 seepage flow analysis in fractures, 20,21 fracture analysis in rock, [22][23][24][25][26][27] coupled HM analysis in fractured rock, [28][29][30][31] and seismic dynamic response of different types of geotechnical engineering, such as slope engineering. 32 However, boundary setting methods used in NMM require further investigation.…”

Section: Introductionmentioning

confidence: 99%

Boundary settings for the seismic dynamic response analysis of rock masses using the numerical manifold method

Yang

Guo

et al. 2018

Num Anal Meth Geomechanics

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Summary Aiming to accurately simulate seismic dynamic response of rock masses using the numerical manifold method (NMM), boundary settings must be treated carefully. In this paper, 4 issues in boundary settings are investigated to improve the performance of NMM: (1) Nonreflecting boundaries including the viscous boundary and viscoelastic boundary are considered; (2) A free‐field boundary is incorporated into NMM to accurately simulate external source wave motion; (3) A seismic input boundary is considered, and the force input method is introduced; and (4) A static‐dynamic unified boundary is incorporated for the convenience of transforming displacement boundary into other types of boundaries, such as nonreflecting boundaries and seismic input boundary. Several benchmark problems are solved to validate the improved NMM. Simulation results agree well with analytical ones, indicating that the improved NMM is able to simulate seismic dynamic response of rock masses reliably and correctly.

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“…Cracks are introduced by dividing physical covers, used to define weight functions, into small elements, and interpolation approximations based on those elements are discontinuous. This approach has also been applied to 3D crack propagation simulation in the work of Yang et al but is challenging for cover generation for complex cracks, as mentioned in the work of Cai et al…”

Section: Introductionmentioning

confidence: 99%

An adaptive cracking particle method providing explicit and accurate description of 3D crack surfaces

Augarde

2018

Numerical Meth Engineering

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Summary Cracks in 3‐dimensions (3D) have arbitrary shapes and therefore present difficulties for numerical modelling. A novel adaptive cracking particle method with explicit and accurate description of 3D cracks is described in this paper. In this meshless method, crack surfaces are described by a set of discontinuous segments, which are associated with particles. This group of particles are assumed all to be “cracked” and split into 2 subparticles with modified support domains. Compared to the original method where the spherical supports at particles are equally divided, the proposed method makes use of nonplanar segments to account for changes in crack face direction. The orientations of those segments and the angular changes of cracks during crack propagation steps are recorded using triangular meshes. Supports of weight functions are modified according to those changes so that quasi‐continuous crack surfaces can be obtained, avoiding the spurious cracking seen in earlier cracking particle methods. An adaptive approach in 3D is then introduced to capture stress gradients around crack fronts. Several 3D crack problems with reference results have been tested to validate the proposed method with good agreement being achieved using the new method, showing it to be potentially a significant advance for 3D fracture prediction problems.

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Three-dimensional fracture propagation with numerical manifold method

Cited by 211 publications

References 54 publications

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Boundary settings for the seismic dynamic response analysis of rock masses using the numerical manifold method

An adaptive cracking particle method providing explicit and accurate description of 3D crack surfaces

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