Accelerating Simulated Annealing Fractional Order Derivative Kelvin Creep Model of Artificial Frozen Soil

Abstract

It is important to master the creep properties of artificial frozen soil in engineering construction during the freezing in the shaft sinking .Given the shortage that the creep behaviors of artificial frozen soil were deemed as the materials between perfect solid and fluid, and that the components of integer order calculus constitutive relation were in great demand,the fractional order constitutive relation was used to calculate the creep character of the artificial frozen soil .Through the substitution of a multipled dashpot by a fractional order derivative dashpot, a fractional order derivative Kelvin’s creep model is developed. The series accelerated element are added to the fractional order element in Kelvin model, and the acceleratemodel is built. Using fractional order derivative Kelvin model to simulate the creep properties of artificial frozen soil, the model parameters was obtained by the global optimization of simulated annealing algorithm. The fractional order derivative creep model of artificial frozen soil can be reflected preferably in the 3 stages creep process. Introduction It is important to master the creep properties of artificial frozen soil in engineering construction during the freezing in the shaft sinking. The mechanical properties of artificial frozen soil were deemed as the materials between perfect solid and fluid.Neither do the creep properties of artificial frozen soil abide by Hooke Law, nor do it bide by Newton’s Law of viscosity, but it abide by a relationship between these two laws instead. The study of fractional calculus is the arbitrary order differentiation, the properties of integral operator and its application. The rheological model theory of using fraction order derivative not only reserve advantages of the classical model theory, but also the combination of series and parallel of a few several elements can be anastomosed preferably with test results. The parameter identification of constitutive model is the important subject that studies on the constitutive relation of artificial frozen soil. The general idea of parameter identification of geo-material constitutive model is to select suitable combined model, according to the experimental data and then to determine the parameter of model by regression analysis with least square method etc. The error in calculation was caused in the process of hypothesis of constitutive model, therefore, there is a great error between the calculation results and the measured value. With the development of artificial intelligence, the algorithm technology of simulated annealing was applied to geo-material constitutive model and parameter identification by many scholars. And, they have obtained plentiful achievements. Given the shortage that the creep behaviors of artificial frozen soil were deemed as the materials between perfect solid and fluid, and that the components of integer order calculus constitutive relation were in great demand, the fractional order constitutive relation was used to calculate the creep character of the artificial frozen soil .Through the substitution of a dashpot by a fractional order derivative dashpot, a fractional order derivative Kelvin’s creep model is developed. The series accelerated elements are added to the fractional order element in Kelvin model, and the accelerated model is built. Using fractional order derivative Kelvin model to simulate the creep properties of artificial frozen soil, the model parameters was obtained by the global optimization of simulated International Conference on Applied Science and Engineering Innovation (ASEI 2015) © 2015. The authors Published by Atlantis Press 1479 annealing algorithm. The fractional order derivative creep model of artificial frozen soil can be reflected preferably in the 3 stages creep process. The fractional order derivative model is a new method in the calculation of the field of artificial frozen soil. Fractional order derivative Kelvin creep model of artificial frozen soil General Kelvin model. According to the analysis of the existing geo-material constitutive model, Kelvin model is a model which is relatively comprehensive and has a broad application. It is used to describe the relationship of stress and strain of geotechnical materials. This model can be used to consider the mechanical properties of material, such as elasticity, visco-elasticity and elastic-plastic etc. It has a wide filed of application and more mature theoretical derivation. General Kelvin model is shown in figure 1.