2014•Advances in engineering research/Advances in Engineering ResearchOpen access

Fractional Order Derivative Nishihara Model of Artificial Frozen Soil

Hui LI, Qiu-Jin ZHANG, Lian-Seng NIU, Ying Xu

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Abstract

Strength and creep performance is the most important in the frozen soil mechanics, It is an important basic basis on engineering foundation construction in cold region and artificial freezing method in shaft sinking.However, the nature of the frozen soil creep is complex, as well as the restriction of objective conditions, it has not been fully understood today.In order to further study the nature of frozen soil creep, for the creep model, it has other disadvantages.By replacing a Newtonian dashpot in the classical Nishihara model with fractional order derivative dashpot, fractional order derivative Nishihara creep model was constructed to simulate the steady and acceleration stage of creep.By comparing the result of fractional order derivative Nishihara creep model with trial value, the established creep model preferably reflected each stage of creep process of artificial frozen soil.It supplement better nature and theoretical of frozen soil creep.

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Strength and creep performance is the most important in the frozen soil mechanics, It is an important basic basis on engineering foundation construction in cold region and artificial freezing method in shaft sinking.However, the nature of the frozen soil creep is complex, as well as the restriction of objective conditions, it has not been fully understood today.In order to further study the nature of frozen soil creep, for the creep model, it has other disadvantages.By replacing a Newtonian dashpot in the classical Nishihara model with fractional order derivative dashpot, fractional order derivative Nishihara creep model was constructed to simulate the steady and acceleration stage of creep.By comparing the result of fractional order derivative Nishihara creep model with trial value, the established creep model preferably reflected each stage of creep process of artificial frozen soil.It supplement better nature and theoretical of frozen soil creep.

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Available abstract

Strength and creep performance is the most important in the frozen soil mechanics, It is an important basic basis on engineering foundation construction in cold region and artificial freezing method in shaft sinking.However, the nature of the frozen soil creep is complex, as well as the restriction of objective conditions, it has not been fully understood today.In order to further study the nature of frozen soil creep, for the creep model, it has other disadvantages.By replacing a Newtonian dashpot in the classical Nishihara model with fractional order derivative dashpot, fractional order derivative Nishihara creep model was constructed to simulate the steady and acceleration stage of creep.By comparing the result of fractional order derivative Nishihara creep model with trial value, the established creep model preferably reflected each stage of creep process of artificial frozen soil.It supplement better nature and theoretical of frozen soil creep.

Key concepts: Order (exchange), Derivative (finance), Biological system, Computer science, Applied mathematics, Mathematics, Biology, Economics

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