2013•Applied Mechanics and MaterialsRequires access

A Dilatancy Constitutive Modelling of Saturated Sands Based on the State Parameter

Chun Lei Zhao, Wei Hua Zhang, Zhi Hua Gao

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Abstract

A bounding-surface model is modified and introduced a state parameterbased on phase transformation state, e.g., when subjected to shear, sand will contract until phase transformation is reached, while, then dilatant until the ultimate where =constants simultaneously. With state parameter the deformation tendency of a sand at any time or any conditions can be judged correctly. As a result the dilatancy depends on the state in a way that yields a zero value at phase transformation state. This dependence allows a realistic modelling of the response of a sand in either loose or dense state, or in the transition from one state to another state. A comparison between model simulations and a sequence of experimental results for drained, monotonic loading conditions shows that the proposed concept and modelling technique work effectively using a unique set of parameters (or parameter dependence) for a given sand.

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What this paper is about

A bounding-surface model is modified and introduced a state parameterbased on phase transformation state, e.g., when subjected to shear, sand will contract until phase transformation is reached, while, then dilatant until the ultimate where =constants simultaneously. With state parameter the deformation tendency of a sand at any time or any conditions can be judged correctly. As a result the dilatancy depends on the state in a way that yields a zero value at phase transformation state. This dependence allows a realistic modelling of the response of a sand in either loose or dense state, or in the transition from one state to another state. A comparison between model simulations and a sequence of experimental results for drained, monotonic loading conditions shows that the proposed concept and modelling technique work effectively using a unique set of parameters (or parameter dependence) for a given sand.

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Available abstract

A bounding-surface model is modified and introduced a state parameterbased on phase transformation state, e.g., when subjected to shear, sand will contract until phase transformation is reached, while, then dilatant until the ultimate where =constants simultaneously. With state parameter the deformation tendency of a sand at any time or any conditions can be judged correctly. As a result the dilatancy depends on the state in a way that yields a zero value at phase transformation state. This dependence allows a realistic modelling of the response of a sand in either loose or dense state, or in the transition from one state to another state. A comparison between model simulations and a sequence of experimental results for drained, monotonic loading conditions shows that the proposed concept and modelling technique work effectively using a unique set of parameters (or parameter dependence) for a given sand.

Key concepts: Dilatant, Monotonic function, Transformation (genetics), Geotechnical engineering, State (computer science), Work (physics), Shear (geology), Mechanics

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