The Study of Debris Flow with Elastoplastic Constitutive Equation
Date Issued
2015
Date
2015
Author(s)
Hsu, Mi-Chia
Abstract
In Taiwan, the population is dense, especially in the city. As the development of social economics.it is nearly saturated about the urban development. As a result, the development of slope land is unavoidable. Then, it destroys the soil and water conservation of the original watershed. Especially in the high frequency of earthquake and heavy rain in Taiwan. Debris flow disasters is more frequent occurrence, therefore mudslide prevention and early warning will become more important. For early warning of debris flow, it often using the dynamic analysis to derive the governing equation of debris flow. In that case, the constitutive equation of debris flow will becomes very important in the process of derivation. In this study, based on Julien and Lan(1991), the constitutive equation of debris flow is divided into shear layer part and plug layer part. In shear layer, we considered the relation of shear stress and shear strain rate. In shear layer, we applied the linear elasticity and considered the relation of shear stress and shear strain. With the continuity equation and momentum equation in Cartesian coordinate system and long wave assumption. We derived the new debris flow governing equation and tried to solve steady and uniform state and unsteady state. Wish can provide a new debris flow analytical solutions to becomes a reference of fundamental analysis or reference of numerical experiments.
Subjects
Debris Flow
Elastoplastic theorem
Constitutive equation
Scale analysis
SDGs
Type
thesis
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