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Journal ArticleDOI

A micromechanical-based micropolar theory for deformation of granular solids

TLDR
In this paper, the constitutive coefficients are derived in explicit terms of grain contact properties, and a procedure based on finite element analysis is described to obtain approximated solutions for boundary value problems.
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This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 91 citations till now. The article focuses on the topics: Granular material & Extended discrete element method.

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Citations
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Journal ArticleDOI

A novel discrete model for granular material incorporating rolling resistance

TL;DR: In this paper, a 2D discrete model for granular materials with rolling resistance is presented, which consists of a geometrically derived kinematical model, physically based mechanical contact models and locally equilibrated equations governing the motion of the rigid particles; only one additional parameter δ needs to be introduced in the model when compared with the standard discrete element method.
Journal ArticleDOI

Study on couple stress and shear band development in granular media based on numerical simulation analyses

TL;DR: In this paper, the simulation test using the distinct element method can provide a powerful tool to simulate the micro- as well as macro-behavior of granular media, in particular, when the rotational resistance is introduced into the conventional one.
Journal ArticleDOI

Force chain buckling, unjamming transitions and shear banding in dense granular assemblies

TL;DR: In this paper, a discrete element analysis of a two-dimensional, densely-packed, cohesionless granular assembly subject to quasistatic, boundary-driven biaxial compression is presented.
Journal ArticleDOI

Three-Dimensional Digital Representation of Granular Material Microstructure from X-Ray Tomography Imaging

TL;DR: In this paper, the authors used x-ray tomography imaging to reconstruct a 3D digital representation of individual particles in a granular system, represented by the mass center coordinates and the morphology representation of each particle.
References
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Journal ArticleDOI

The thickness of shear bands in granular materials

TL;DR: In this paper, Cosserat's theory for granular materials under plane strain conditions of deformation is presented and the constitutive equations discussed are a generalization of the j2 deformation theory of plastic materials.
Journal ArticleDOI

A Micromechanical Description of Granular Material Behavior

TL;DR: In this paper, a general representation for the macroscopic stresses in terms of the volume average of the (tensorial) product of the contact forces and the vectors which connect the centroids of adjacent contacting granules is established.
Journal ArticleDOI

Influence of couple-stresses on stress concentrations

TL;DR: In this article, two-dimensional equations of couple-stress theory for an isotropic, elastic medium were derived and the components of stress and couplestress were then expressed in terms of the Airy stress function and another stress function which accounts for the couple stresses.
Book ChapterDOI

Theory of Micropolar Elasticity

TL;DR: In this paper, the complete theory of 3M continua, with and without E-M interactions, was given, and balance laws, jump conditions and nonlinear constitutive equations were obtained, so that the theory is complete and closed.
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