›› 2018, Vol. 39 ›› Issue (S1): 297-302.doi: 10.16285/j.rsm.2017.1320

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Fractional strain rate and its relation with fractal dimension of granular soils

SUN Yi-fei1, SHEN Yang1, LIU Han-long2   

  1. 1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, China; 2. College of Civil Engineering, Chongqing University, Chongqing 400044, China
  • Received:2017-05-18 Online:2018-07-20 Published:2018-09-02
  • Supported by:

    This work was supported by the Fundamental Research Funds for the Central Universities(2017B05214) and the Research Funds from China Postdoctoral Science Foundation(2017M621607).

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Abstract: Due to the wave-load and tidal load, granular soils, such as sand, often suffers from long-term cyclic deformation. Cumulative strains of five different granular soils under different loading conditions are analyzed by using the fractional calculus, and its there exists a fractional strain rate for granular soils subjected to repeated loads. Unlike the traditional integral strain rate which is varying with the load cycles, the fractional strain rate remains constant for a given loading condition. To investigate the physical origin of the fractional approach, fractal breakage theory of granular soils is used. It is found that the fractional strain rate has a strong connection with the corresponding fractal dimension of a given granular soil. It decreases with the increase of the fractal dimension.

Key words: granular aggregates, fractional calculus, bounding surface, critical state, constitutive model

CLC Number: 

  • TU 443

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