Discrete Element simulation of concrete fracture and crack evolution

Beckmann, Birgit; Schicktanz, Kai; Curbach, Manfred

doi:10.1002/best.201800045

Cited by 7 publications

(3 citation statements)

References 13 publications

(19 reference statements)

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“…The Mohr-Coulomb model was used for the numerical simulation. In the Mohr Coulomb model [ 17 , 18 ], in the principal stress space of σ 1 , σ 2 , and σ 3 , the corresponding strain components are the principal strains ε 1 , ε 2 , and ε 3 . The three principal stresses and the corresponding strain increments obey the following relationship: where e and P are the elastic and plastic parts, respectively, and the plastic component is only not 0 in the plastic flow stage.…”

Section: Development Of the Numerical Model And Parameter Settingsmentioning

confidence: 99%

Development characteristics of the rock fracture field in strata overlying a mined coal seam group

Wang

et al. 2022

PLoS ONE

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The fracture development of the overlying strata after coal mining is an important guarantee of efficient gas drainage. In order to explore the fracture evolution characteristics close to a mined coal seam group, the F15.16−24130 working face in the Pingdingshan No. 10 coal mine was taken as the research background. The FLAC3D numerical simulation software was used to study the migration and failure characteristics of the overlying strata during mining of a coal seam group, and the fracture evolution process of the stope was investigated. The results show that as the advancing distance increased, the fracture density and fracture height increased continuously due to deformation and failure of the overlying rock. The displacement of the overlying rock initially increased and then decreased, and the displacement of the floor rock initially decreased and then increased. When working face F15.16 of the coal seam advanced to 75 m, a saddle-shaped plastic zone gradually formed in the upper part of the goaf and the floor of the goaf was formed. The pressure relief depth was proportional to the advancement distance. As the advancement distance of the working face increased, the pressure relief depth gradually extended to the F17 coal seam, which was conducive to the development and penetration of the fractures in the coal floor and rock mass and was convenient for pressure relief gas drainage from the F17 coal seam.

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Section: Development Of the Numerical Model And Parameter Settingsmentioning

confidence: 99%

Development characteristics of the rock fracture field in strata overlying a mined coal seam group

Wang

et al. 2022

PLoS ONE

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“…Discrete methods, such as cohesive Discrete Element Method (CDEM), are used, e.g. to simulate the fracking in cemented geomaterials 12 , 13 . The standard Discrete Element Method (DEM) on the other hand, as an inherent Lagrange based method, is considered for the simulation of large particle movement in non-cohesive granular materials 14 .…”

Section: Introductionmentioning

confidence: 99%

Study of wave propagation in discontinuous and heterogeneous media with the dynamic lattice method

Sattari¹,

Rizvi²,

Aji³

et al. 2022

Sci Rep

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The development of a new dynamic lattice element method (dynamicLEM) as well as its application in the simulation of the propagation of body waves in discontinuous and heterogeneous media is the focus of this research paper. The conventional static lattice models are efficient numerical methods to simulate crack initiation and propagation in cemented geomaterials. The advantages of the LEM and the developed dynamic solution, such as simulation of arbitrary crack initiation and propagation, illustration and simulation of existing inherent material heterogeneity as well as stress redistribution upon crack opening, opens a new engineering field and tool for material analysis. To realize the time dependency of the dynamic LEM, the equation of motion of forced vibration is solved while using the Newmark-$$\beta$$ β method and implementing the non-linear Newton–Raphson Jacobian method. The method validation is done according to the results of a boundary element method (BEM) in the plane P-SV-wave propagation within a plane strain domain. Further tests comparing the generated wave types, simulation and study of crack discontinuities as well as inherent heterogeneities in the geomaterials are conducted to illustrate the accurate applicability of the new dynamic lattice method. The results indicate that with increasing heterogeneity within the material, the wave field becomes significantly scattered and further analysis of wave fields according to the wavelength/heterogeneity ratio become indispensable. Therefore, in a heterogeneous medium, the application of continuum methods in relation to structural health monitoring should be precisely investigated and improved. The developed dynamic lattice element method is an ideal simulation tool to consider particle scale irregularities, crack distributions and inherent material heterogeneities and can be easily implemented in various engineering applications.

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“…Discrete methods, such as cohesive Discrete Element Method (CDEM), are used, e.g. to simulate the fracking in cemented geomaterials [9,10]. The standard Discrete Element Method (DEM) on the other hand, as an inherent Lagrange based method, is considered for simulation of large particle movements in non-cohesive granular materials [11].…”

Section: Introductionmentioning

confidence: 99%

The Dynamic Lattice Method - Vibrations and Wave Propagation in Discontinuous and Heterogeneous Media

As¹,

Zh²,

Hdb³

et al. 2021

Preprint

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The development of a new dynamic lattice element method (dynamicLEM) as well as its application in the simulation of wave propagation in discontinuous and heterogeneous media is the focus of this research paper. The conventional static lattice models are efficient numerical methods to simulate crack initiation and propagation in cemented geomaterials. The advantage of the LEM and the developed dynamic solution, such as simulation of arbitrary crack initiation and propagation, illustration and simulation of existing inherent material heterogeneity as well as stress redistribution upon crack opening, opens a new engineering field and tool for material analysis. To realize the time dependency of the dynamic LEM, the governing Newton's second law is solved while using the Newmark-β method and implementing the non-linear Newton-Raphson Jacobian. The method validation is done according to the results of a boundary element method (BEM) in the plane P-SV-wave propagation within a plane strain domain. Further validation tests comparing the generated wave types, simulation and study of crack discontinuities as well as inherent heterogeneities in the geomaterials are conducted to illustrate the accurate applicability of the new dynamic lattice method. The results indicate that with increasing heterogeneity within the material, the wave field becomes significantly scattered and further analysis of wave fields according to the wavelength/heterogeneity ratio become indispensable. Therefore, in a heterogeneous medium, the application of continuum methods in relation to structural health monitoring should be precisely investigated and improved. The developed dynamic lattice element method is an ideal simulation tool to consider particle scale irregularities, crack distributions and inherent material heterogeneities and can be easily implemented in various engineering applications.

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Discrete Element simulation of concrete fracture and crack evolution

Cited by 7 publications

References 13 publications

Development characteristics of the rock fracture field in strata overlying a mined coal seam group

Development characteristics of the rock fracture field in strata overlying a mined coal seam group

Study of wave propagation in discontinuous and heterogeneous media with the dynamic lattice method

The Dynamic Lattice Method - Vibrations and Wave Propagation in Discontinuous and Heterogeneous Media

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