Abstract
Here we present a brief introduction to some theoretical ideas for granular matter. We start by reviewing the physical properties and constraints of granular materials. We then outline some approaches towards a thermodynamics for granular materials. We analyze the grain flow as a fluid mechanical phenomenon, with a brief introduction to the kinetic theory of inelastically colliding hard particles. We present a nonlinear theory of elasticity for granular solids. Finally, we briefly discuss the problem of formulating continuous field equations in discrete particulate systems and non–local constitutive relations.
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Trujillo, L., Sigalotti, L.D.G. (2014). Theoretical Physics of Granular Fluids and Solids. In: Sigalotti, L., Klapp, J., Sira, E. (eds) Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00191-3_8
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