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Research of the Buckling Deformation of Force Chain and Constitutive Model of Granular Materials

Author: XuZhengHong
Tutor: JiangJun
School: Zhejiang University
Course: Disaster Prevention and Reduction Engineering and Protective Engineering
Keywords: Particulate matter Force chain model Mapping mechanism Constitutive model Optimization analysis
CLC: O359
Type: Master's thesis
Year: 2011
Downloads: 90
Quote: 0
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Abstract


Particulate matter studies involving multiple physical hierarchy and mechanisms for multiscale mechanical problems. Studies have shown that internal shear zone of the particulate matter in the force chain buckling deformation fabric energy storage and dissipation caused by the relative motion of the particles is its commitment to the internal factors of the external load, and thus establish a force chain deformation and destruction as the core of the mechanical mechanism is to study the constitutive model of particulate matter. First, this paper outlines the different modeling idea two constitutive models: a constitutive model based on the binary contact theory and constitutive model based on particle group deformation characteristics. The former essentially continuous medium theory modeling idea, contact the microscopic particle displacement with macro continuous shape variables, by affine mechanisms should be variable constitutive model is a continuous variable. The latter form of separation of variables, this approach essentially circumvent the affine. Plastic model evolution guidelines deformation analysis model boundary conditions calculated by the force chain buckling. Second, this paper proposes for compacting, no cohesiveness particulate matter in the quasi-static loads and do not consider particle breakage of force chain mechanism of deformation and fracture mechanics. By the introduction of inter-particle displacement mode, consider fabric particles is not equal to the radius of the force chain buckling deformation structural mechanics analysis model. Force chain by changes on the the different locations fabric particle radius when the fabric of the particle radius of the same model degradation is similar Tordesillas proposed model, take parameters case, the model can fit the DEM simulation results more reasonable; the force and deformation performance analysis, shows that the force and deformation properties of a larger change in particle radius. The Third force chain buckling deformation analysis model, the paper went on to establish a dense constitutive model no cohesiveness particulate matter. Model variables with microscopic characteristics, at the same time, unlike previous empirical variables, model variables also has a clear physical meaning. The model variables and their evolution criteria related to the force-deformation and force chain. The model described in the meso-scale dilatancy process of particulate matter in the strain softening phenomenon. Fourth, analysis shows that the force chain force and deformation properties in addition to particle radius and fabric, the initial shape of the force chain, related to the particle size and arrangement of lateral support. The initial force chain buckling deformation force chain carrying capacity decreases, the particle size of the lateral support and the asymmetric arrangement of the lateral support force is no longer horizontal center of the particle through the middle of the fabric. In this paper, the last of the existence of the initial deformation, lateral support the asymmetric force chain model analysis can be found with the original model, the force-deformation curve calculated by the new model significantly improves the fitting precision.

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CLC: > Mathematical sciences and chemical > Mechanics > Fluid Mechanics > Multiphase flow
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