Multiscale Computation of Failure in Granular Materials

Multiscale Computation of Failure in Granular Materials covers the multiscale modeling of geomaterials, referencing their mechanical and failure behaviors. Multiscale approaches introduce underlying particle micromechanics, giving way to enriched or structured macroscopic constitutive relationships endowed with small scale information. The pertinence of such models in continuum approaches, such as the finite element method in capturing rich failure modes implicating strain localization and fracture and diffuse phenomena is highlighted, along with an analysis of failure through discrete element modeling. Finally, the presence of liquid and gas phases within a granular material is covered in relation to saturated and partially saturated media.

• Consolidates basic research information, such as granular micromechanics, homogenization techniques, and multiscale modeling, including finite element and discrete element modeling paradigms
• Suitable for an audience comprised of graduate students at Master’s and PhD levels, including Post Docs and young researchers
• Features engineering applications to illustrate the physical aspects of mathematical concepts
• Highlights the pertinence of models with continuum approaches

Academics, students, Governments labs, research Institutes, R&D divisions, engineers

1. Introduction
   2. Constitutive Modelling – Continuum Approaches
   3. Fundamentals of the micromechanics of Geomaterials
   4. Multiscale Modelling of Granular Materials
   5. Micromechanics of multiphasic Porous Materials
   6. Multiphase modelling of fracturing in rocks
   7. Engineering applications
   8. Conclusions