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A Variational Principle for Granular Materials

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1976
AbstractA variational principle for the continuum theory of granular materials is presented. This principle is used to obtain the basic equations of the equilibrium theory and the boundary conditions for both the incompressible granule case, and the compressible granule case.
Cowin, S. C., Goodman, M. A.
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Imaging of avalanches in granular materials

Physical Review Letters, 1992
Dry, noncohesive granular materials were very slowly driven to the threshold of instability where they produced avalanches. We have used digital image analysis to record avalanches that occurred on the surface of the incline. Results show large slides every 10\char21{}13 min which reset the surface from the maximum angle of stability, ${\mathrm ...
, Bretz   +3 more
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Averaging method of granular materials

Physical Review E, 2002
This paper presents an averaging method to link discrete to continuum variables of granular materials. Compared to the other methods proposed in the literature, it has advantages of being applicable to all flow regimes, and to granular flows with or without the effect of physical boundaries.
H P, Zhu, A B, Yu
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Nonclassical Thermomechanics of Granular Materials

Mathematical Physics, Analysis and Geometry, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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BEYOND FAILURE IN GRANULAR MATERIALS

International Journal for Numerical and Analytical Methods in Geomechanics, 1997
The interrelations among different constitutive models of granular materials are discussed with special reference to failure and stability. For the hyperplastic constitutive equation, the accessible stress states and the stable stress states are found to be enclosed by a bound surface and a stability surface in the stress space, respectively ...
Wu, Wei, Niemunis, Andrzej
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Elastoplastic Waves in Granular Materials

Journal of Applied Mechanics and Technical Physics, 2003
For a description of the deformation of materials with different resistances to tension and compression, the conventional rheological diagram is supplemented by a new element --- rigid contact. It is used to construct a model of an ideal granular material possessing elastic and plastic properties.
Sadovskaya, O. V., Sadovskii, V. M.
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Micromechanical Modeling of Granular Materials

2002
We briefly review attempts to predict the mechanical response of granular materials based on a simple characterization of the interparticle force and the statistical geometry of their packing and interactions. The results of two such theories are presented.
JENKINS J. T, LA RAGIONE, Luigi
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Axial segregation of granular materials

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999
When mixtures of granular materials are rotated, it is often found that they segregate into bands, along the axis of rotation, which are rich in the various components. This effect is discussed experimentally and theoretically, with emphasis on a mechanism based on surface flow.
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Shear Flow of a Granular Material

Journal of Statistical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR ELASTICITY AND THERMODYNAMICS OF GRANULAR MATERIALS

Advances in Complex Systems, 2001
The elastic properties of granular materials can be enormously nonlinear as compared with the properties of non-porous materials. Experiments on isotropic compression of a granular assembly of spheres show that the shear μ, and bulk k, moduli vary with the confining pressure faster than the 1/3 power law predicted by Hertz–Mindlin elasticity theory ...
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