Abstract
In this paper, a microphysical constitutive theory is developed for a class of rate dependent granular materials under finite deformation. The theory is based on non-equilibrium thermodynamics with internal state variables. The state variables may be thought of as representing the current pattern of microstructural arrangemenp and hence characterize the plastic state of the material. A significant feature of this theory is that the state variables are identified at the granular level, as opposed to the crystalline level. This allows one to develop a microdynamical theory in terms of experimentally observable quantities and is a unique feature of granular materials. The theory is used to describe the mechanical properties of snow under high rate multiaxial deformation. Snow is a highly nonlinear, rate dependent material which exhibits significant microstructural alternations under finite strain. These alternations are tracked mathematically by temporal evolution equations governing the internal state variables. The change in the state variables is directly related to the plastic strain of the material.
Published Version
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