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Effect of integrating memory on the performance of the fractional plasticity model for geomaterials

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Abstract

A fractional plasticity model for geomaterials is proposed by using the fractional derivative. Due to the integral definition of the fractional derivative, the range of load memory for calculating the flow direction may influence the subsequent model performance. Therefore, an investigation on the memory dependence of the model was conducted. It was found that the load memory affected the stress–dilatancy behavior of the geomaterial. Due to the loss of memory from zero- to confining-stress states, slightly higher strain is reported, whereas an insignificant difference in the predicted deviator stress is observed. Thus, for engineering applications, starting the memory from the zero-stress state, which avoids mathematical complexity, is suggested.

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Acknowledgements

Financial support provided by the National Natural Science Foundation of China (Grant 41630638), the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the Fundamental Research Funds for the Central Universities (Grant 2017B05214) are appreciated.

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  1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, 210098, China

    Yifei Sun, Yufeng Gao & Shunxiang Song

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  1. Yifei Sun
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  2. Yufeng Gao
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  3. Shunxiang Song
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Correspondence to Yifei Sun.

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Sun, Y., Gao, Y. & Song, S. Effect of integrating memory on the performance of the fractional plasticity model for geomaterials. Acta Mech. Sin. 34, 896–901 (2018). https://doi.org/10.1007/s10409-018-0777-9

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  • DOI: https://doi.org/10.1007/s10409-018-0777-9

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