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Wedge and conical granular pile stress depression problems

Author: ZuoJing
Tutor: FuLiPing
School: Central South University
Course: Physics
Keywords: Granular pile Stress distribution Shear stress model Nonlinear Elasticity
CLC: O347.7
Type: Master's thesis
Year: 2010
Downloads: 18
Quote: 0
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Abstract


Macroscopic mechanical behavior of particulate matter than we are familiar Newtonian fluid and solid Hooker complex degree of nonlinear dissipation mechanism type and intensity, the boundary conditions of uncertainty, far more than the latter. Even simple static particle heap, wherein the stress distribution is still not completely solve the problem of how to analyze. Static particle stress distribution in the literature, there are two main processing ideas. A tendency to think that the uncertainty it has essentially arbitrary geometry granulosis generally applicable equations does not exist, therefore, in principle, can be used for stress analysis. A specific geometric situation, such as the conical sand on the desktop, between the components of the stress tensor may approximate satisfy an algebraic relationship, also known as stress relationship. Note that the stress of the relationship is not universal theoretical equation, its specific form is not only related with the considered particle sample geometry and may even be related to the history of its preparation. Another idea to deal with the stress problem is that static particles belong to the non-linear elastic solid material known boundary conditions, which stresses determined, and starting from a suitable elastic potential energy function, with a classic elastic theory method. That is, using the theoretical framework of elasticity can be of arbitrary geometry and preparation history granulosis apply general complete equations, those stress relationship in different circumstances but equations approximate particular solution. Told granular pile stress distribution in the physics literature to put forward a variety of different phenomenological stress relationship models, including the well-known fixed spindle model and recently proposed shear stress model. This article by calculating them of elastic equation compliance, quantitative investigated the links between the \The results showed that inside the heap could be used to satisfy the elasticity equations near the free boundary deviation, but can be improved by reducing the strength of the side near the boundary shear stress method. In addition, the use of qualitative investigation of the shear stress model examines the link between stress similarity and heap space \Analysis results: heap of different height circular heap shear stress distribution associated with space and central depression, the greater strength of the shear stress with a heap of \the more conducive recessed generated.

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Deformation solid dynamics > Of granular
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