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Micromechanics of Granular Materials
John Wiley and Sons Ltd, May 2009, Pages: 320
Nearly all solids are comprised of grains. However, most studies treat materials as a continuous solid. The book applies analysis used on loose granular materials to dense granular materials. This titles main focus is devoted to static or dynamic loadings applied to dense materials, although rapid flows and widely dispersed media are also mentioned briefly. Three essential areas are covered: Local variable analysis, Change of scales procedures, and Numerical modeling. Contact forces, displacements and rotations, orientation of contacting particles, and fabric tensors are all examples of local variables. Their statistical distributions, such as spatial distribution and possible localization, are analyzed, taking into account experimental results or numerical simulations. Change of scales procedures are also known as homogenization techniques'. These procedures make it possible to construct continuum laws to be used in a continuum mechanics approach or performing smaller scale analyses. Numerical modeling consists of several methods designed to calculate approximate solutions of dynamical equations together with unilateral contact and frictional laws, including molecular dynamics, the distinct element method, and non-smooth contact dynamics. Numerical examples are given and the quality of numerical approximations is discussed.
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