Mixed-mode fracture modeling with smoothed particle hydrodynamics

Douillet-Grellier, Thomas; Jones, Bruce D.; Pramanik, R.; Pan, K.; Albaiz, Abdulaziz; Williams, John R.

doi:10.1016/j.compgeo.2016.06.002

Cited by 30 publications

(14 citation statements)

References 48 publications

(74 reference statements)

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“…where K t is the tangent stiffness of cohesive fracture law, which will be introduced in the next section. It should be noted here that the iterative strain δε is neglected in Equation 59 as it has been considered during the calculation of trial stress before preforming the iteration process. By enforcing the requirement r new = 0 and combining Equations 58-60, the iterative displacement jump δu can be solved as…”

Section: Implicit Stress Return Algorithm For the Traction Continuimentioning

confidence: 99%

“…Once δu has been computed, the iterative stress can be calculated based on Equation 59. In the meantime, the iterative traction in the local coordinate δt c can be obtained from δu c following a stress return algorithm (Algorithm 1).…”

Section: Implicit Stress Return Algorithm For the Traction Continuimentioning

confidence: 99%

“…49 SPH combined with a traditional constitutive model such as elastoplastic or coupled elastoplastic and damage models has also been extended to rock fractures in literature. [58][59][60] Although those constitutive models could successfully capture the macro-behaviour of rocks such as stiffness degradation, irreversible deformation and the fracture processes such as initiation, propagation and fracture patterns under various loading conditions, the deformation of a particle in these models is assumed to be homogeneous, thereby neglecting the existence of a high gradient of deformation across the localisation band during the nonlinear phases of rock fracture. In addition, those models fail to account for the characteristics of the localisation zone such as size, fracture orientation and evolution of inelastic behaviour, together with the material behaviour outside the zone.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Wang

Tran

Nguyen

et al. 2020

Num Anal Meth Geomechanics

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This paper focuses on the modelling of mixed-mode fracture using the conventional smoothed particle hydrodynamics (SPH) method and a mixed-mode cohesive fracture law embedded in the particles. The combination of conventional SPH and a mixed-mode cohesive model allows capturing fracture and separation under various loading conditions efficiently. The key advantage of this framework is its capability to represent complex fracture geometries by a set of cracked SPH particles, each of which can possess its own mixed-mode cohesive fracture with arbitrary orientations. Therefore, this can naturally capture complex fracture patterns without any predefined fracture topologies.Because a characteristic length scale related to the size of the fracture process zone is incorporated in the constitutive formulation, the proposed approach is independent from the spatial discretisation of the computational domain (or mesh independent). Furthermore, the anisotropic fracture responses of materials can be naturally captured thanks to the orientation of the fracture process zone embedded at the particle level. The performance of the proposed approach demonstrates its potentials in modelling mixed-mode fracture of rocks and similar quasi-brittle materials. K E Y W O R D Scohesive fracture law, mixed-mode, regularisation, rock fracture, smoothed particle hydrodynamics (SPH)

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Section: Implicit Stress Return Algorithm For the Traction Continuimentioning

confidence: 99%

Section: Implicit Stress Return Algorithm For the Traction Continuimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Wang

Tran

Nguyen

et al. 2020

Num Anal Meth Geomechanics

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“…Since there is no connectivity between particles, a neighbor searching procedure has to be carried for every particle at every time step, which is a serious bottleneck for code efficiency. Among the numerous applications of SPH, we can mention astrophysics [24], hydrodynamics [25], geophysics [26,27,28,29] and computer graphics [30]. Some extensive reviews have been published [31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

et al. 2019

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Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann Method (LBM) are increasingly popular and attractive methods that propose efficient multiphase formulations, each one with its own strengths and weaknesses. In this context, when it comes to study a given multi-fluid problem, it is helpful to rely on a quantitative comparison to decide which approach should be used and in which context. In particular, the simulation of intermittent two-phase flows in pipes such as slug flows is a complex problem involving moving and intersecting interfaces for which both SPH and LBM could be considered. It is a problem of interest in petroleum applications since the formation of slug flows that can occur in submarine pipelines connecting the wells to the production facility can cause undesired behaviors with hazardous consequences. In this work, we compare SPH and LBM multiphase formulations where surface tension effects are modeled respectively using the continuum surface force and the color gradient approaches on a collection of standard test cases, and on the simulation of intermittent flows in 2D. This paper aims to highlight the contributions and limitations of SPH and LBM when applied to these problems. First, we compare our implementations on static bubble problems with different density and viscosity ratios. Then, we focus on gravity driven simulations of slug flows in pipes for several Reynolds numbers. Finally, we conclude with simulations of slug flows with inlet/outlet boundary conditions. According to the results presented in this study, we confirm that the SPH approach is more robust and versatile whereas the LBM formulation is more accurate and faster.

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“…Although Smoothed Particle Hydrodynamics (SPH) has been used to study fracture (e.g. Douillet-Grellier et al 2016;Mandell and Wingate 1996;Sticko 2013), often in association with rock fracture, evidence for its ability to simulate Hertzian cone cracks has not been found. Therefore, greater consideration was given to XFEM, DEM and PD.…”

Section: Numerical Simulationmentioning

confidence: 99%

A new perspective of lithic reduction in archaeology: numerically simulating flintknapping with peridynamics

Day¹

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This project has been the culmination of my desire to combine my dual interests: archaeology and engineering. In that regard it is quite unique and unusual, and I would therefore like to thank my supervisor Dr. Michael Heitzmann for allowing me to pursue this opportunity. Neither of us had any idea what might eventuate after a year of work, but I believe the gamble paid off. It has certainly been a rewarding challenge. I have been fortunate to have received the advice of a number of people in the past year who have helped me to develop this project. This includes Dr. Martin Veidt, Dr. Bill Daniel and Dr. Jeff Gates who all provided valuable input to the project. Additionally, I would like to thank Antoine Muller for his kind encouragement and support of this project which has been of great help. Lastly, I would like to thank my family for their years of support-even if you never quite understood what it was I was trying to do.

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Mixed-mode fracture modeling with smoothed particle hydrodynamics

Cited by 30 publications

References 48 publications

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

A new perspective of lithic reduction in archaeology: numerically simulating flintknapping with peridynamics

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