Stress distribution in sandpiles – A variational approach
نویسندگان
چکیده
Two variational closure models are proposed in order to describe stress distribution and arch formation in sandpiles located on a rigid base. The maximum strength and the maximum entropy closures are shown to yield the normal stress minimum below the pile apex. Stress distributions in sandpiles are determined numerically. The force uctuations in a model regular granular assembly are studied by Monte Carlo simulation method. A dependence of the level of the uctuations vs. the macroscopic stress state is determined. c © 1998 Elsevier Science B.V. All rights reserved. PACS: 46.10.+z; 05.60.+w; 83.70.Fn
منابع مشابه
Sandpiles and Superconductors: Dual Variational Formulations for Critical-State Problems
Similar evolutionary variational inequalities appear as convenient formulations for continuous models for sandpile growth, magnetization of type-II superconductors, and evolution of some other dissipative systems characterized by the multiplicity of metastable states, long-range interactions, avalanches, and hysteresis. The origin of this similarity is that these are quasistationary models of e...
متن کاملVariational Inequalities in Critical-State Problems
Similar evolutionary variational inequalities appear as convenient formulations for continuous quasistationary models for sandpile growth, formation of a network of lakes and rivers, magnetization of type-II superconductors, and elastoplastic deformations. We outline the main steps of such models derivation and try to clarify the origin of this similarity. New dual variational formulations, ana...
متن کاملA variational approach to the problem of oscillations of an elastic half cylinder
This paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder. We use variational methods to investigateseveral aspects of propagating waves, including localization (seeFigure 1), existence criteria and the formulas to find them. Weapproach the problem using two complementary methods: Thevariational methods fo...
متن کاملHot Sandpiles Typeset Using Revt E X
A temperature-like parameter is introduced in ordinary sandpiles models. A temperature dependent probability distribution is assigned for the sand toppling on sites of any height. In mean eld theory criticality is obtained for all the values of temperature and no characteristic avalanche size appears. Numerical simulations supports the existence of criticality at any temperature with apparently...
متن کاملAnalytical Solution of Stress Field in Adhesively Bonded Composite Single-Lap Joints Under Mechanical Loadings
In this paper, considering an adhesively bonded composite single-lap joint, a novel approach is presented to predict the peel and shear stress distributions of the adhesive layer for an ASTM standard test sample. In current method, the equilibrium equations are derived using the energy method and based on the Timoshenko’s beam theory. Two solution procedures then are discussed, one of which rep...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998