Constitutive Modeling of Soils and Rocks

Constitutive Modeling of Soils and Rocks

Constitutive Modeling of Soils and Rocks by Pierre-Yves Hicher and Jian-Fu Shao

Contents of Constitutive Modeling of Soils and Rocks

  • Chapter 1. The Main Classes of Constitutive Relations
  • The rheological functional
  • Incremental formulation of constitutive relations
  • Rate-independent materials
  • Non-linearity of G and H
  • Anisotropy of G and H
  • Homogenity of degree of G and H
  • Notion of tensorial zones
  • The main classes of rate-independent constitutive relations
  • Constitutive relations with one tensorial zone
  • Constitutive relations with two tensorial zones
  • Constitutive relations with four tensorial zones
  • Constitutive relations with n tensorial zones (n > )
  • Constitutive relations with an infinite number of tensorial zones
  • The main constitutive relations for rate-dependent materials
  • First class of incremental strain decomposition
  • Second class of incremental strain decomposition
  • Chapter 2. Mechanisms of Soil Deformation
  • Remolded soil behavior
  • vi Constitutive Modeling of Soils and Rocks
  • Relationships between discontinuous and continuous medium
  • Granular materials
  • Remolded clayey materials
  • Granular materials with intergranular glue
  • Natural soils
  • Chapter 3. Elastoplastic Modeling of Soils: Monotonous Loadings
  • Basic concepts
  • Yield surface and elastic domain
  • Plastic flow rule
  • Incremental relations for one plastic mechanism model
  • Incremental relationships for multi-mechanism elastoplasticity
  • Constitutive laws and laboratory tests
  • Characterization of natural cohesive soil behavior
  • Analysis of triaxial test results
  • Analysis of oedometer tests
  • Elasto-viscoplasticity or elastoplasticity?
  • Characterization of frictional soil behavior
  • Analysis of triaxial test results
  • Elastoplasticity framework for frictional soils
  • Principles for the derivation of elastoplastic models
  • Elastic behavior
  • Estimation of the plastic behavior
  • Failure surface
  • Total and plastic strains
  • Plastic potential
  • Yield surface
  • Three-dimensional aspect of the models and calculation of geotechnical works
  • Examples of perfect elastoplastic models
  • The Mohr-Coulomb model
  • The Drücker-Prager model
  • Examples of elastoplastic models with hardening
  • University of Cambridge models (Cam-Clay models)
  • Nova model ( version)
  • Mélanie model
  • Notations
  • Chapter 4. Elastoplastic Modeling of Soils: Cyclic Loading
  • Soil behavior under drained loading
  • Isotropic and oedometric cyclic loading
  • Cyclic triaxial loading
  • Influence of rotating principal axes
  • Isochoric triaxial tests
  • Modeling soil cyclic behavior
  • Difficulties involved in the modeling of the soil cyclic behavior in
  • the framework of elastoplasticity
  • The Masing model
  • Models based on one or several independent yield surfaces
  • The CJS model
  • Models based on nested yield surfaces
  • Models with nested yield surfaces: the Mroz model
  • Model with infinite yield surfaces: the Hujeux model
  • Deviatoric mechanisms (k = , , )
  • Models with two yield surfaces: the Dafalias model
  • Models with two yield surfaces: the Hashigushi model
  • Models with two yield surfaces: CJS model
  • Generalized plasticity models
  • Parameter identification for cyclic plasticity models
  • Chapter 5. Elastoplastic Behavior of Ductile Porous Rocks
  • Review of typical mechanical behavior of porous rocks
  • Formulation of the constitutive model
  • Plastic pore collapse model
  • Plastic shearing model
  • Examples of numerical simulations
  • Influence of water saturation
  • Creep deformation
  • Constitutive Modeling of Soils and Rocks
  • Chapter 6. Incremental Constitutive Relations for Soils
  • Incremental nature of constitutive relations
  • Hypoplastic CloE models
  • Irreversibility in hypoplasticity
  • Limit states
  • A simple example: the D Mohr-Coulomb model
  • Use in boundary value problems
  • Explicit criterion of localization
  • Induced anisotropy
  • Extension to media with internal length
  • Examples of application
  • Incrementally non-linear constitutive relations
  • Formalism
  • Continuous transition between non-linear and octo-linear
  • interpolations
  • Significant degenerations
  • Applications
  • Conclusions
  • General conclusion
  • Chapter 7. Viscoplastic Behavior of Soils
  • Laboratory testing
  • Strain rate influence
  • Creep tests
  • Constitutive models
  • Modeling framework
  • Perzyna’s formulation
  • Numerical integration of viscoplastic models
  • Viscoplastic models for clays
  • Choice of the viscoplastic mechanisms
  • Viscoplastic models derived from the elastoplastic Cam-Clay model
  • Cyclic viscoplastic modeling
  • Chapter 8. Damage Modeling of Rock Materials
  • Modeling of damage by mesocracks and induced anisotropy
  • Preliminaries: damage variables and some micromechanical bases
  • Anisotropic damage model (basic model – level (i))
  • Comments on the identification of the model’s parameters and on its prediction capability
  • Taking into account mesocrack closure effects: restitution of moduli and
  • complex hysteretic phenomena
  • Normal unilateral effect
  • Introduction of friction
  • Numerical integration and application examples – concluding notes
  • Chapter 9. Multiscale Modeling of Anisotropic Unilateral Damage in Quasibrittle Geomaterials: Formulation and Numerical Applications
  • Homogenization of microcracked materials: basic principles and
  • macroscopic energy
  • Formulation of the multiscale anisotropic unilateral damage model
  • Constitutive equations
  • Friction-damage coupling and evolution laws
  • Computational aspects and implementation of the multiscale damage
  • model
  • Determination of the tangent matrix
  • Local integration of the model
  • Illustration of the model predictions for shear tests
  • Model’s validation for laboratory data including true triaxial tests
  • Validation by comparison with conventional triaxial compression
  • tests
  • Simulations of true triaxial compression tests
  • Application on an underground structure: evaluation of the excavation
  • damage zone (EDZ)
  • Chapter 10. Poromechanical Behavior of Saturated Cohesive Rocks
  • Fundamentals of linear poroelasticity
  • Fundamentals of poroplasticity
  • Damage modeling of saturated brittle materials
  • Experimental characterization
  • Constitutive Modeling of Soils and Rocks
  • Numerical modeling
  • Chapter 11. Parameter Identification
  • Analytical methods
  • Correlations applied to parameter identification
  • Optimization methods
  • Numerical formulation
  • Examples of parameter identification by means of laboratory
  • testing
  • Parameter identification from in situ testing

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