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Table of contents
1 General introduction
1.1 Motivation and objectives
1.2 Structure of presentation
2 A brief literature review
2.1 Shearing behavior of granular materials
2.1.1 Dilatancy and contractancy
2.1.2 Softening and hardening
2.1.3 Critical State
2.2 Discrete element view of granular materials
2.2.1 Discrete Element Method
2.3 Micromechanical analysis in granular materials
2.3.1 Particle/contact
2.3.2 Force chains
2.3.3 Grain loops
2.4 Multiscale modeling of granular materials
3 On the attraction power of critical state
3.1 DEM simulation
3.2 Mechanical response
3.2.1 Mechanical response along dilatant proportional strain loading paths
3.2.2 Mechanical response along biaxial loading paths
3.3 p-q-e space analysis
3.3.1 p-q plane
3.3.2 p-e plane
3.4 Fabric-related critical state locus
3.4.1 Fabric tensor analysis
3.4.2 Grain loop evolution
3.5 Mixed proportional strain and biaxial loading paths
3.6 Conclusion and outlook
4 Dynamical view of the critical state
4.1 Numerical setup
4.2 The so-called critical state
4.2.1 Stress-strain analysis
4.2.2 Force chains and deviatoric stress
4.2.3 Grain loops and volumetric strain
4.3 Hidden dynamics at critical state
4.3.1 Generating and vanishing process of chained particles
4.3.2 Generating and vanishing process of grain loops
4.4 Microstructure reorganization dynamics under different confining pressures
4.5 Microstructure dynamics under evolving conditions: memory effects in granular materials
4.5.1 Fading process of the initial memory
4.5.2 Memory fading process along proportional strain test
4.6 Conclusion
5 Critical state and the H-model
5.1 Review and analysis of the H-model
5.1.1 The H-model in brief
5.1.2 Biaxial test at the material point scale
5.1.3 Mesoscale inspection of the H-model during biaxial loading
5.2 Emergence of critical state in the H-model
5.2.1 Method
5.2.2 Preliminary results
5.3 Conclusions
6 General conclusion and perspectives
6.1 Conclusion
6.1.1 Dilatant proportional strain loading and relationships with critical state
6.1.2 Dynamical view of critical state
6.1.3 Enriched H-model with emerging critical state
6.2 Perspectives
6.2.1 Micromechanical investigations
6.2.2 H-model
6.2.3 Multiscale modeling of landslides
A Complementary results on critical state dynamics
Bibliographie
