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Titlebook: Mathematics and Mechanics of Granular Materials; James M. Hill,A.P.S. Selvadurai Book 2005 Springer Science+Business Media B.V. 2005 Funda

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Graham J. Weirry of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known, Itô Calculus is essentially based on the "hypothesis of causality", asking random functions to be adapted to a natural filtration generated by Brownian motion or more generally by square integrable martingale.
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H.P. Zhu,A.B. Yuegins with the study of fundamental properties of the noncauThis book presents an elementary introduction to the theory of noncausal stochastic calculus that arises as a natural alternative to the standard theory of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known,
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The incremental response of soils. An investigation using a discrete-element model,ulation results to the continuous theories is performed using explicit expressions for the averaged stress and strain over a representative volume element. The discussion of the incremental response raises two important questions of soil deformation: Is the incrementally nonlinear theory appropriate
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Initial response of a micro-polar hypoplastic material under plane shearing,evolution equation of the stress tensor and the couple-stress tensor is described using tensor-valued functions, which are nonlinear and positively homogeneous of first order in the rate of deformation and the rate of curvature. For the initial response of the sheared layer an analytical solution is
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Some theoretical results about second-order work, uniqueness, existence and controllability indepen and deviatoric behavior are coupled. This implies some mathematical difficulties concerning boundary-value problems solved with constitutive equations modelling the salient features of such geomaterials. One of the well-known consequences is that the so-called second-order work can be negative long
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Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hopdition of a flow-corrective insert. This paper is concerned with calculating granular flow patterns near the outlet of hoppers that incorporate a particular type of insert, the cone-in-cone insert. The flow is considered to be quasi-static, and governed by the Coulomb-Mohr yield condition together w
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Towards a theory of granular plasticity, as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a wa
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