Mathematics And Mechanics of Granular Materials

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Format: Hardcover
Pub. Date: 2006-01-31
Publisher(s): Kluwer Academic Pub
List Price: $159.99

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Summary

Granular or particulate materials arise in almost every aspect of our lives, including many familiar materials such as tea, coffee, sugar, sand, cement and powders. At some stage almost every industrial process involves a particulate material, and it is usually the cause of the disruption to the smooth running of the process. In the natural environment, understanding the behaviour of particulate materials is vital in many geophysical processes such as earthquakes, landslides and avalanches. This book is a collection of current research from some of the major contributors in the topic of modelling the behaviour of granular materials. Papers from every area of current activity are included, such as theoretical, numerical, engineering and computational approaches. This book illustrates the numerous diverse approaches to one of the outstanding problems of modern continuum mechanics.Reprinted from Journal of Engineering Mathematics, Vol. 52, Nos. 1-3, 2005

Table of Contents

Mathematics and mechanics of granular materials
1(10)
J.M. Hill
A.P.S. Selvadurai
The incremental response of soils. An investigation using a discrete-element model
11(24)
F. Alonso-Marroquin
H.J. Herrmann
Initial response of a micro-polar hypoplastic material under plane shearing
35(18)
E. Bauer
Some theoretical results about second-order work, uniqueness, existence and controllability independent of the constitutive equation
53(10)
R. Chambon
Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers
63(30)
G.M. Cox
S.W. McCue
N. Thamwattana
J.M. Hill
Micromechanical constitutive modelling of granular media: evolution and loss of contact in particle clusters
93(14)
B.S. Gardiner
A. Tordesillas
A hyperbolic well-posed model for the flow of granular materials
107(30)
D. Harris
E.F. Grekova
Towards a theory of granular plasticity
137(10)
S.C. Hendy
Formulation of non-standard dissipative behavior of geomaterials
147(20)
M. Hjiaj
W. Huang
K. Krabbenhøft
S.W. Sloan
Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua
167(18)
W. Huang
M. Hjiaj
S.W. Sloan
Large-strain dynamic cavity expansion in a granular material
185(14)
V.A. Osinov
Generalised homogenisation procedures for granular materials
199(32)
E. Pasternak
H.-B. Muhlhaus
Some fundamental aspects of the continuumization problem in granular media
231(20)
J.F. Peters
Compression and shear of a layer of granular material
251(14)
A.J.M. Spencer
An assessment of plasticity theories for modeling the incrementally nonlinear behavior of granular soils
265(28)
C. Tamagnini
F. Calvetti
G. Viggiani
Incompressible granular flow from wedge-shaped hoppers
293(14)
G.J. Weir
Micromechanic modeling and analysis of unsteady-state granular flow in a cylindrical hopper
307
H.P. Zhu
A.B. Yu

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