Simulation of mixed-mode fracture using the combined finite–discrete element method

Boyce, Samuel; Lei, Zhou; Euser, Bryan; Knight, Earl E.; Rougier, Esteban; Stormont, John C.; Taha, M. M. Reda

doi:10.1007/s40571-020-00341-6

Cited by 12 publications

(9 citation statements)

References 18 publications

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“…Recently, these methods have been widely applied in 3D simulations. [12][13][14][15] In the second category, cracks are independent of the mesh and can go through the interior of the elements. In recent decades, several methods belonging to this category have been developed.…”

Section: Methods Of Calculating the Continuous-discontinuous Deformat...mentioning

confidence: 99%

3D simulation of complex fractures with a simple mesh

2022

Numerical Meth Engineering

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Rock masses are 3D in nature. The contained complex fracture networks pose great difficulty to its computer-aided design (CAD) modeling and bring meshing burdens to classic finite element analysis (FEA). Considering the efficiency of digital images capturing complex geometries, as an extension of the previous 2D work, the 3D implementation of the image-based simulation is carried out in this work. Continuous-discontinuous deformations of complex rock masses are simulated in 3D with a simple structured mesh based on the numerical manifold method (NMM). Characteristics of the developed voxel crack model and its differences with discrete and smeared crack models are summarized. Based on this voxel crack model, the generating algorithm of 3D physical patches to construct the continuous-discontinuous trial function is introduced in detail. In the developed method, the three spatial resolutions, respectively of the image model, integration voxels, and mathematical elements, are independent. These resolutions can be chosen freely by trading off the accuracy need and the computational expenses. Numerical examples investigate the accuracy and convergence of this method. Its 3D simulation capability of complex rock masses is demonstrated by calculating the continuous-discontinuous deformation of El Capitan rock located in the Yosemite National Park with assumed complex fracture networks.

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Section: Methods Of Calculating the Continuous-discontinuous Deformat...mentioning

confidence: 99%

3D simulation of complex fractures with a simple mesh

2022

Numerical Meth Engineering

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“…Mixed-mode Failure in Carrara Marble Boyce et al [60] investigated the formation of hybrid fractures under mixed tensile and compressive stresses using the HOSS FDEM. There are two common types of fracture in brittle geo-materials, tensile and shear.…”

Section: Hoss Applicationsmentioning

confidence: 99%

HOSS: an implementation of the combined finite-discrete element method

et al. 2020

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Nearly thirty years since its inception, the combined finite-discrete element method (FDEM) has made remarkable strides in becoming a mainstream analysis tool within the field of Computational Mechanics. FDEM was developed to effectively “bridge the gap” between two disparate Computational Mechanics approaches known as the finite and discrete element methods. At Los Alamos National Laboratory (LANL) researchers developed the Hybrid Optimization Software Suite (HOSS) as a hybrid multi-physics platform, based on FDEM, for the simulation of solid material behavior complemented with the latest technological enhancements for full fluid–solid interaction. In HOSS, several newly developed FDEM algorithms have been implemented that yield more accurate material deformation formulations, inter-particle interaction solvers, and fracture and fragmentation solutions. In addition, an explicit computational fluid dynamics solver and a novel fluid–solid interaction algorithms have been fully integrated (as opposed to coupled) into the HOSS’ solid mechanical solver, allowing for the study of an even wider range of problems. Advancements such as this are leading HOSS to become a tool of choice for multi-physics problems. HOSS has been successfully applied by a myriad of researchers for analysis in rock mechanics, oil and gas industries, engineering application (structural, mechanical and biomedical engineering), mining, blast loading, high velocity impact, as well as seismic and acoustic analysis. This paper intends to summarize the latest development and application efforts for HOSS.

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“…, 2020) and applications (Okubo et al. , 2020; Boyce et al. , 2020; Munjiza et al , 2020b; Chau et al.…”

Section: Introductionmentioning

confidence: 99%

“…In 2020, a special issue titled "combined finite discrete element method and virtual experimentation" were published in the Journal of Computational Particle Mechanics. The issue presented the fundamental developments (Gao and Feng, 2020;Lei et al, 2020;Yan et al, 2020;Knight et al, 2020;Joulin et al, 2020), simulation technologies (Mohammadnejad et al, 2020;Munjiza et al, 2020a;Wang et al, 2020) and applications (Okubo et al, 2020;Boyce et al, 2020;Munjiza et al, 2020b;Chau et al, 2020;Zhang et al, 2020;Farsi et al, 2020) of the method. It can be seen that parallel accelerated computing, multi-field coupling, multi-field applications, as well as the fundamental theory development are the trend of the method.…”

Section: Introductionmentioning

confidence: 99%

Y-Mat: an improved hybrid finite-discrete element code for addressing geotechnical and geological engineering problems

Liu

Zhang

et al. 2022

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PurposeContinua and discontinua coexist in natural rock materials. This paper aims to present an improved approach for addressing the mechanical response of rock masses based on the combined finite-discrete element method (FDEM) proposed by Munjiza.Design/methodology/approachSeveral algorithms have been programmed in the new approach. The algorithms include (1) a simpler and more efficient algorithm to calculate the contact force; (2) An algorithm for tangential contact force closer to the actual physical process; (3) a plastic yielding criterion (e.g. Mohr-Coulomb) to modify the elastic stress for fitting the mechanical behavior of elastoplastic materials; and (4) a complete code for the mechanical calculation to be implemented in Matrix Laboratory (MATLAB).FindingsThree case studies, including two standard laboratory experiments (uniaxial compression and Brazilian split test) and one engineering-scale anti-dip slop model, are presented to illustrate the feasibility of the Y-Mat code and its ability to deal with multi-scale rock mechanics problems. The results, including the progressive failure process, failure mode and trajectory of each case, are acceptable compared to other corresponding studies. It is shown that, the code is capable of modeling geotechnical and geological engineering problems.Originality/valueThis article gives an improved FDEM-based numerical calculation code. And, feasibility of the code is verified through three cases. It can effectively solve the geotechnical and geological engineering problems.

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Simulation of mixed-mode fracture using the combined finite–discrete element method

Cited by 12 publications

References 18 publications

3D simulation of complex fractures with a simple mesh

3D simulation of complex fractures with a simple mesh

HOSS: an implementation of the combined finite-discrete element method

Y-Mat: an improved hybrid finite-discrete element code for addressing geotechnical and geological engineering problems

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