Fractal approximation of the stress-strain curve of frozen soil  

作　　者：令锋 吴紫汪 朱元林 何春雄 朱林楠 

机构地区：[1]State Key Laboratory of Frozen Soil Engineering, Lanzhou Institute of Glaciology and Geocryology, Chinese Academy of Sciences

出　　处：《Science China Earth Sciences》1999年第S1期17-22,共6页中国科学（地球科学英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 49771024; 49671020) and the Key Project of the Chinese Academy of Sciences (Grant No. KZ952-J1-216).

摘　　要：A method to approach the stress-strain curve of frozen soil is presented based on the fact that the stressstrain curve of frozen soil has fractal property. First, a linear hyperbolic iterated function system (LHIFS) in which the perpendicular contraction factors are regarded as parameters is established using fractal geometry theories. Secondly, a method to calculate the best point which makes the attractor of the LHIFS an optimal approximation of the stress-strain curve of frozen soil is presented. Then, a method for calculating the fractal dimension of the stress-strain curve of frozen soil is obtained. Finally, a simple example is provided. The method presented in this paper provides a new method for simulating the stress-strain curve and calculating its fractal dimension of geomaterials that have the fractal feature by using computer.A method to approach the stress-strain curve of frozen soil is presented based on the fact that the stress-strain curve of frozen soil has fractal property. First, a linear hyperbolic iterated function system (LHIFS) in which the perpendicular contraction factors are regarded as parameters is established using fractal geometry theories. Secondly, a method to calculate the best point which makes the attractor of the LHIFS an optimal approximation of the stress-strain curve of frozen soil is presented. Then, a method for calculating the fractal dimension of the stress- strain curve of frozen soil is obtained. Finally, a simple example is provided. The method presented in this paper provides a new method for simulating the stress-strain curve and calculating its fractal dimension of geomaterials that have the fractal feature by using computer.

关 键 词：FROZEN soil STRESS-STRAIN CURVE FRACTAL ATTRACTOR FRACTAL dimension. 

分 类 号：P642.14[天文地球—工程地质学]