Modelling of cutting tool – soil interaction – part II: macromechanical model and upscaling

Nardin, Alessio; Schrefler, Bernhard A.

doi:10.1007/s00466-005-0658-5

Cited by 15 publications

(6 citation statements)

References 33 publications

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“…Moreover, plenty of previous studies focused on the relationship between macromechanical responses and mesoscopic parameters. For example, Nardin and Schrefler [16] simulated the uniaxial compression and tensile tests on viscous materials by DEM and analyzed the correlation between macroscopic responses and mesoscopic parameters. Cho et al [17] established the relationship between the macroscopic properties of a rock and the mesoscopic parameters of clumps.…”

Section: Introductionmentioning

confidence: 99%

Deformation Behavior of Coarse‐Grained Soil as an Embankment Filler under Cyclic Loading

Xiang

Liu

et al. 2020

Advances in Civil Engineering

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This study aims to examine the deformation behavior and internal mechanism of coarse-grained soil as an embankment filler under cyclic loading. Numerical dynamic triaxial tests were performed on coarse-grained soil using the discrete element software PFC3D. The numerical model was verified by comparing the numerical results with the experimental data. Afterward, the changes in the porosity, force chain, and particle movement of coarse-grained soil samples were analyzed, and the mesoscopic deformation behavior of coarse-grained soil under cyclic loading was investigated. The research results show that with the increase of the deviatoric stress amplitude, moisture content, and loading frequency, the deformation of the soil increases and the ability to resist deformation decreases at the same loading cycles. Due to the inhomogeneous distribution of particles with different sizes, the velocity and displacement of the sample vary in different directions, exhibiting mesoscopic anisotropy. The contact force is relatively even in the downward direction while dispersed near the edge of the sample. This means that the particles at the bottom are less affected by loads and the internal evolution of soil samples conforms to its macroscopic deformation behavior during cyclic loading.

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Section: Introductionmentioning

confidence: 99%

Deformation Behavior of Coarse‐Grained Soil as an Embankment Filler under Cyclic Loading

Xiang

Liu

et al. 2020

Advances in Civil Engineering

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“…Through many researches, scholars explored some qualitative relations between micro parameters and macro characteristics, All micro parameters such as R (particle radius), E c (elastic modulus of the particle), E c true¯ (elastic modulus of the parallel bond), k n / k s (ratio of normal to shear stiffness of the particle), k n / k s true¯ (ratio of normal to shear stiffness of the parallel bond), σ n (parallel-bond normal strength), τ n (parallel-bond shear strength), μ (particle friction coefﬁcient) and so on all have an effect on macro characteristics. 34–37 This provided a good way to determine the micro parameters of PFC 2D model quickly and reasonably.…”

Section: Particle Flow Simulation Analysis About Splitting Failure Of Flawed Rockmentioning

confidence: 99%

Experimental and numerical study on crack propagation and coalescence in rock-like materials under compression

Bai

Chen

et al. 2021

The Journal of Strain Analysis for Engineering Design

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The discontinuous crack surface in a rock affects the stability of the whole rock system. The experiments in this paper were carried out by prefabricating rock-like specimens with different types of flaws, then the specimens were tested under uniaxial compression. Moreover, based on the theory of particle flow, PFC2D software was used for numerical simulation, and the comparative analysis of the experimental and simulative results was carried out to obtain the crack initiation sequence, propagation phenomenon, and failure mode of rock specimens with different flaw types. The results indicated that the wing crack started at the tip of flaw and the form of crack assumed split failure, followed by shear failure caused by the secondary crack. The tensile failure degree decreases and the influence of shear failure increases with the increase of flaw angle. The wing crack and secondary initiation stress value is 35%–55% and 85%–95% of the peak stress value. Crack coalescence appeared in adjacent flaws of rock-like specimens with multiple parallel single flaws, single-cross flaws and double-cross flaws, and the coalescence phenomenon always occurs when the stress peak value is reached. With the number of flaws increasing, the splitting failure of rock-like specimens became more and more serious, the splitting failure of double cross-flaw specimen is the most serious. As for the specimen with single-cross flaw, the wing crack would be produced at the tip of the flaw with larger obliquity. The results of this paper may offer certain reference value for the study on the mechanism of rock crack.

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“…It concerns soils and rocks (e.g. applications in modelling of interaction of a cut ting tool with geological settings [14]), as well as modern mate rials (e.g. polymers [15], composites and porous solids [16,17].…”

Section: The Burzyń Ski Yield Conditionmentioning

confidence: 99%

Some applications of Burzyński yield condition in metal plasticity

2011

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a b s t r a c tThe classical J 2 plasticity theory is widely used to describe the plastic response of metallic materials. However, this theory does not provide satisfactory predictions for materials which exhibit pressure sen sitive yielding or plastic dilatancy. Another difficulty is the difference between the values of yield stresses in tension and compression for isotropic materials, the so called strength differential effect (SD), leading to the asymmetry of the elastic range. The Burzyń ski yield condition, proposed in 1928, can be used to overcome some of these problems. In this paper an implicit integration of the elasto plastic constitutive equations for the paraboloid case of Burzyń ski's yield condition is formulated. Also, the tangent operator consistent with the integration algorithm was developed and is presented. The proposed model was implemented in a commercial Finite Element code and different kinds of tests reported in the literature were simulated. The comparison between the numerical and experimental results shows that the plastic ity theory with the paraboloid case of Burzyń ski's yield condition describes adequately the strength dif ferential effect, which is present in many kinds of materials significant for recent applications.

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Modelling of cutting tool – soil interaction – part II: macromechanical model and upscaling

Cited by 15 publications

References 33 publications

Deformation Behavior of Coarse‐Grained Soil as an Embankment Filler under Cyclic Loading

Deformation Behavior of Coarse‐Grained Soil as an Embankment Filler under Cyclic Loading

Experimental and numerical study on crack propagation and coalescence in rock-like materials under compression

Some applications of Burzyński yield condition in metal plasticity

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