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Fabric-enriched continuum breakage mechanics (F-CBM )

Journal Article · · Geotechnique
 [1];  [2]
  1. Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL, USA.; Department of Civil and Environmental Engineering, Clarkson University, Postdam, NY, USA.
  2. Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL, USA.

A fabric-enriched continuum breakage mechanics (F-CBM) framework is developed to examine the relation between elastic and inelastic anisotropy in granular materials subjected to high pressure. For this purpose, emphasis is given to the influence of the anisotropic fabric on the plastic cap regime – that is, a macroscopic signature of the inelasticity of granular materials widely dependent on the particle crushability. Anisotropic behaviour prior to yielding is introduced through a symmetric second-order fabric tensor embedded in the expression of the elastic energy potential. It is shown that, thanks to its energy-based formulation, the F-CBM framework provides a platform to predict the rotation and distortion of the yield cap of granular materials as an outcome of anisotropic strain energy storage prior to grain crushing. Parametric analyses indicate that both the degree of anisotropy and the orientation of the fabric have an impact on the energy release resulting from grain crushing and contribute to the resulting stress–strain behaviour. It is shown that, despite the use of very few parameters, the proposed framework can accurately predict the anisotropic yielding and inelastic stress–strain response solely on the basis of the directional properties inferred from measurements of elastic anisotropy.

Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0017615
OSTI ID:
1981020
Journal Information:
Geotechnique, Journal Name: Geotechnique; ISSN 0016-8505
Publisher:
ICE Publishing
Country of Publication:
United States
Language:
English

References (55)

Role of soil inherent anisotropy in peak friction and maximum dilation angles of four sand-geosynthetic interfaces journal December 2018
Inherent anisotropy in a sand journal March 1972
Permeability evolution during triaxial compaction of an anisotropic porous sandstone: PERMEABILITY EVOLUTION IN SANDSTONE journal May 2012
Cam-Clay plasticity. Part IX: On the anisotropy, heterogeneity, and viscoplasticity of shale journal March 2020
An elasto-plastic model for granular materials with microstructural consideration journal July 2005
Packing Structure and Mechanical Properties of Granulates journal May 1990
A theoretical framework for constructing elastic/plastic constitutive models of triaxial tests
  • Collins, Ian F.; Hilder, Tamsyn
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 26, Issue 13 https://doi.org/10.1002/nag.247
journal January 2002
The relationship between the elasticity tensor and the fabric tensor journal July 1985
Simple Plasticity Sand Model Accounting for Fabric Change Effects journal June 2004
Anatomy of rotational hardening in clay plasticity journal December 2013
Breakage mechanics—Part I: Theory journal June 2007
Breakage mechanics—Part II: Modelling granular materials journal June 2007
A Novel Mogi Type True Triaxial Testing Apparatus and Its Use to Obtain Complete Stress–Strain Curves of Hard Rocks journal October 2015
A model for stress and plastic strain induced nonlinear, hyperelastic anisotropy in soils: HYPERELASTIC ANISOTROPY IN SOILS journal July 2007
Anisotropic elasticity of a natural clay journal June 1983
Non-linear anisotropic hyperelasticity for granular materials journal November 2019
Stress-induced anisotropy in sand under cyclic loading journal September 2010
Distribution of directional data and fabric tensors journal January 1984
Face Stability Analysis for a Shield Tunnel in Anisotropic Sands journal May 2020
Seismic Response of Retaining Wall with Anisotropic Backfills conference July 2010
The Transformation to Isotropic form of the Equilibrium Equations for a Class of Anisotropic Elastic Solids journal January 1955
Microstructural control on the anisotropy of elastic and transport properties in undeformed sandstones journal October 2005
Microstructural Inhomogeneity and Mechanical Anisotropy Associated with Bedding in Rothbach Sandstone journal June 2009
Anisotropic breakage mechanics: From stored energy to yielding in transversely isotropic granular rocks journal August 2019
Anisotropy in Mechanical Properties and its Simulation of Sands Sampled from Natural Deposits journal September 1984
Liquefaction and Fabric of Sand journal September 1984
An extended Cam Clay model for soft anisotropic rocks journal January 1986
Fabric tensor for discontinuous geological materials. journal January 1982
Effect of Strength Anisotropy on Bearing Capacity of Shallow Footing in a Dense Sand journal September 1979
Yield Function for Soil with Anisotropic Fabric journal January 1989
Formulation of a unified constitutive model for clays and sands journal October 1999
SANISAND-F: Sand constitutive model with evolving fabric anisotropy journal April 2020
Formulation of anisotropic failure criteria incorporating a microstructure tensor journal March 2000
Micromechanical correlation between elasticity and strength characteristics of anisotropic rocks journal January 2020
Thermoplasticity and strain localization in transversely isotropic materials based on anisotropic critical state plasticity: THERMOPLASTICITY AND STRAIN LOCALIZATION
  • Semnani, Shabnam J.; White, Joshua A.; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 18 https://doi.org/10.1002/nag.2536
journal May 2016
An isotropic self-consistent homogenization scheme for chemo-mechanical healing driven by pressure solution in halite journal April 2019
Mechanisms of Anisotropy in Salt Rock Upon Microcrack Propagation journal April 2020
Fabric evolution and crack propagation in salt during consolidation and cyclic compression tests journal January 2021
Fabric evolution of granular materials along imposed stress paths journal May 2018
Model Tests and Fem Simulation of Some Factors Affecting the Bearing Capacity of a Footing on Sand journal April 2001
SANISAND: Simple anisotropic sand plasticity model
  • Taiebat, Mahdi; Dafalias, Yannis F.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 8 https://doi.org/10.1002/nag.651
journal January 2008
A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—Theory journal October 2014
A constitutive modelling framework predicting critical state in sand undergoing crushing and dilation journal September 2016
Experimental investigation of shear strength of sands with inherent fabric anisotropy journal February 2014
Fractals and fragmentation journal January 1986
Influence of inherent anisotropy on the seismic behavior of liquefiable sandy level ground journal April 2019
Correlation of fabric tensors for granular materials using 2D DEM journal November 2018
On the behaviour of Thanet Sand: an example of an uncemented natural sand journal November 2009
Micro-mechanical analysis of caisson foundation in sand using DEM journal May 2020
A Stress-Strain Relationship for Anisotropically Consolidated Sand Over a Wide Stress Region journal December 1991
Yield Characteristics of Anisotropically Consolidated Sand Under Low and High Stresses journal March 1991
Micromechanical modelling for effect of inherent anisotropy on cyclic behaviour of sand journal July 2010
Effects of Principal Stress Direction and Intermediate Principal Stress on Undrained Shear Behavior of Sand journal September 1998
Grainsize dependence of clastic yielding in unsaturated granular soils journal April 2014
An alternative model for anisotropic elasticity based on fabric tensors journal November 1995

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