M A C Koenders

The Physics of the Deformation of Densely Packed Granular Materials

M A C Koenders

This book is of interest for those that are concerned professionally with granular materials: civil engineers, geologists and geophysicists, chemical engineers, pharmacists, food technologists, agriculturalists, biologists and astronomers. Granular materials play a role in nearly all human activities. For example, users of sand, from children in sandpits to sophisticated geotechnical engineers, know that it is a fascinating — and to some extent, unpredictable — material. In addition to sand, which itself may be of many compositions, there are various types of materials including gravel, fine-particle aggregates as employed in cosmetics, pharmaceuticals, dust, crushed rock and granules that occur in a domestic environment, such as breakfast cereals, sugar, salt and (instant or ground) coffee granules. The aim of the book is to present a theory that explains the physics behind the phenomena during the deformation of densely packed granular media. The physics that describes such features is rather subtle and is developed from the micro to macro level (the latter is the continuum mechanics level that is used in practical applications). It requires the analysis of anisotropy and the heterogeneity of the packing evaluated against the background of a frictional inter-particle interaction. Contents: PrefaceAbout the AuthorGeneral ConceptsContinuum Mechanics and Cartesian Tensor CalculusThe Bounds of Static EquilibriumHeterogeneityFabric DescriptionStress-Strain Relations of Granular Assemblies: A Frictionless AssemblyStress-Strain Relations of Granular Assemblies: Normal and Tangential InteractionsFrictional Granular MaterialsAppendix A: Mathematical AppendixAppendix B: List of Symbols and NotationsIndex Readership: Mathematical physicists, civil engineers (especially soil mechanics), chemical engineers with a special interest in cake formation, geologists; applied mathematicians.Granular Mechanics;Dilatancy;Rupture Layer Formation;Continuum Mechanics;Connected Media;Heterogeneity;Static Friction;Contact Mechanics;Civil Engineering;Soil Mechanics;Geology;Chemical Engineering;Cake Formation;Stress-Strain;Mechanical Properties of Materials;Deformation0 Key Features: Targeted as postgraduate textThere is currently no other volume in which the various concepts that are needed in a consistent analytical form are drawn togetherThe range of specialisms that may apply the ideas in the book is rather wide: physics, mathematics, civil and chemical engineering and geology may all benefit, while the student who is devoted to the mechanics of granular or connected media will also find this a very useful text