Quantitative Description of Orthotropic Fabric of Sand

Li, Xuefeng; Yangyang, He; Liu, Jing-qiao; Wu, Wei

doi:10.1007/978-3-319-89671-7_10

Cited by 7 publications

(9 citation statements)

References 8 publications

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“…us, A 0 is the native anisotropic state variable. In conclusion, according to the work by Li et al [31], the mesoscopic fabric tensor was given by…”

Section: Orthotropic Fabric Tensormentioning

confidence: 96%

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The Constitutive Model of Rockfill Based on Property‐Dependent Plastic Potential Theory for Geomaterials

Zhang

et al. 2020

Advances in Civil Engineering

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To better control the strength and deformation of the roadbed, a constitutive model of rockfill was established based on property-dependent plastic potential theory for geomaterials. The effect of the particle gradation on the anisotropy was described in the model. According to the effect of the particle grading and crushing on the fractal dimension, the fractal theory and fabric tensor were introduced to establish the yield and failure criteria of the rockfill. By combining the property-dependent concepts of the materials and the results of the rockfill strength test, a critical state line considering the microstructure, fractal dimension, particle breakage, and stress state of the rockfill was established. The dilatancy equation was derived based on the novel potential theory and the hardening criterion affected by the critical state was established. A constitutive model of the rockfill in the general stress space was established under the framework of the novel potential theory. The 3D strength and its intensity change in the π plane were simulated through the drainage strength test results, which verified the description of the critical state under various stress paths. By simulating the stress-strain relationship, the validity and rationality of the model were verified.

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“…us, A 0 is the native anisotropic state variable. In conclusion, according to the work by Li et al [31], the mesoscopic fabric tensor was given by…”

Section: Orthotropic Fabric Tensormentioning

confidence: 96%

“…e anisotropic state variable based on the research of the quantitative description of mesoscopic fabric by Li et al [31] in equation ( 12) was expressed as…”

Section: Orthotropic Fabric Tensormentioning

confidence: 99%

The Constitutive Model of Rockfill Based on Property‐Dependent Plastic Potential Theory for Geomaterials

Zhang

et al. 2020

Advances in Civil Engineering

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“…is paper uses the orthotropic fabric tensor derived from reference [20]. For a detailed derivation process, refer to reference [57].…”

Section: Definition Of Amplitude Parameters Of Orthogonal Planesmentioning

confidence: 99%

3D Mechanical Characters and Their Fabric Evolutions of Granular Materials by DEM Simulation

Yangyang

2022

Mathematical Problems in Engineering

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To quantitatively describe the influence of the contact characteristics of granular materials on their mechanical response, the true-triaxial tests with different particle shapes are simulated by the discrete element method (DEM), and the connection between the evolutions of particle contact fabric and the anisotropic mechanical responses is studied. The contact normal vector of the particle in 3D space is described by two independent angles, by which the contact fabric tensor is defined. The amplitude parameters in three orthogonal directions are defined by the invariants of the plane fabric tensor, which are scalars and describe the degree of anisotropy of the contact fabric in each plane. The expression of orthotropic fabric tensor is derived from the amplitude parameters, with the change of geometric space of contact normal vector, which is reduced to the different tensor of transverse isotropic naturally. The fabric tensor can be directly applied to the constitutive equation to describe the effects of the particle contact on the mechanical response. For verifying the rationality of contact characteristics described by fabric tensor, four particle shapes are clumped by PFC3D. The mechanical properties of specimens with different particles are simulated under the true-triaxial loading path, and the data of contact normal vector is extracted in real time. The simulation results showed that the particle shapes have a significant effect on the 3D stress-strain relationship and strength, which showed apparent anisotropy, and the invariants of fabric tensor can be used to describe the evolution of particle contact in the loading process.

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“…According to the theoretical description of the particle arrangement fabric and the quantitative detection of the plane amplitude parameters, authors [30,31] presented a quantitative detection method of the plane parameters for the sand void fabric by stereology [32]. Based on this method, there was also a better effect on the quantitative determination of rock fracture fabrics [33,34].…”

Section: Introductionmentioning

confidence: 99%

Quantitative Description for Sand Void Fabric with the Principle of Stereology

Meng

2021

Applied Sciences

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Based on the principle of stereology to describe void fabric, the fabric tensor is redefined by the idea of normalization, and a novel quantitative description method for the orthotropic fabric of granular materials is presented. The scan line is described by two independent angles in the stereo space, and the projection of the scan line on three orthogonal planes is used to determine the plane tensor. The second-order plane tensor can be described equivalently by two invariants, which describe the degree and direction of anisotropy of the material, respectively. In the three-dimensional orthogonal space, there are three measurable amplitude parameters on the three orthogonal planes. Due to the normalized definition of tensor in this paper, there are only two independent variations of the three amplitude parameters, and any two amplitude parameters can be used to derive the three-dimensional orthotropic fabric tensor. Therefore, the same orthorhombic anisotropy structure can be described by three fabrics, which enriches the theoretical description of orthotropy greatly. As the geometric relationship of the stereoscopic space scan line changes, the three sets of orthotropic fabrics degenerate into different forms of transversely isotropic and isotropic fabrics naturally and have a clear physical meaning. The novel fabric tensor is quantitatively determined based on mathematical probability and statistics. The discrete distribution of voids in space is projected as a scalar measurable parameter on a plane. This parameter is related to the macroscopic constitutive relationship directly and can be used to describe the effect of microscopic voids on the macroscopic phenomenon of materials.

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Quantitative Description of Orthotropic Fabric of Sand

Cited by 7 publications

References 8 publications

The Constitutive Model of Rockfill Based on Property‐Dependent Plastic Potential Theory for Geomaterials

The Constitutive Model of Rockfill Based on Property‐Dependent Plastic Potential Theory for Geomaterials

3D Mechanical Characters and Their Fabric Evolutions of Granular Materials by DEM Simulation

Quantitative Description for Sand Void Fabric with the Principle of Stereology

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