An Investigation of Constitutive Law for Granular Material Based on Equilibrium and Compatibility Models

• Main Authors: Dung-Hua Yang, 楊東華
• Other Authors: Ching-Lung Liao
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/74883329893149286014

博士 === 國立臺灣科技大學 === 營建工程技術學系 === 83 === Granular materials, such as soil, rock, concrete, ceramic, etc., are most commonly used in civil engineering. Upon loading, those materials are characterized by the anisotropic behavior, the volumetric contraction or dilation, the sensitivity to the hydrostatic pressure and the irreversible loading/unloading process. The general classic mechanics which is based on the continuum assumption can not analyze correctly their material properties. An analytical model that breaks the continuum assumption of mate Considering the variation of stress-strain distribution in granular materials, this paper proposes two analytical models: the first, based on the assumption of uniform distribution of strain field to derive the constitutive laws for granular materials, is termed the Kinematics model; the second, based on the uniform distribution of stress variation for the constitutive derivation is termed the Equilibrium model. From the microscopic point of view, the failure of interface between particles generally cause According to the assumption of an isotropic and homogeneous material, it can be proved that the two models get same results for the stress- strain relations as those obtained from the linear elasticity. For nonuniform arrangement of particles in granular materials, the elastic behavior predicted by the Kinematic model is much stiffer than that from the Equilibrium model. The stiffness obtained from the static analysis for a real packing of granular materials falls between these two limiting values from