Mathematics and Mechanics of Granular Materials

Mathematics and mechanics of granular materials.- The incremental response of soils. An investigation using a discrete-element model.- Initial response of a micro-polar hypoplastic material under plane shearing.- Some theoretical results about second-order work, uniqueness, existence and controllability independent of the constitutive equation.- Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers.- Micromechanical constitutive modelling of granular media: Evolution and loss of contact in particle clusters.- A hyperbolic well-posed model for the flow of granular materials.- Towards a theory of granular plasticity.- Formulation of non-standard dissipative behavior of geomaterials.- Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua.- Large-strain dynamic cavity expansion in a granular material.- Generalised homogenisation procedures for granular materials.- Some fundamental aspects of the continuumization problem in granular Media.- Compression and shear of a layer of granular material.- An assessment of plasticity theories for modeling the incrementally nonlinear behavior of granular soils.- Incompressible granular flow from wedge-shaped hoppers.- Micromechanic modeling and analysis of unsteady-state granular flow in a cylindrical hopper.