Acta Mechanica Sinica

, Volume 34, Issue 5, pp 896–901 | Cite as

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

  • Yifei SunEmail author
  • Yufeng Gao
  • Shunxiang Song
Research Paper


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.


Plasticity Fractional calculus Memory 



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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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Key Laboratory of Ministry of Education for Geomechanics and Embankment EngineeringHohai UniversityNanjingChina

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