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Hysteresis Behavior Modeling of Hard Rock Based on the Mechanism and Relevant Characteristics

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  • Helin Fu

    (School of Civil Engineering, Central South University, Changsha 410075, China
    National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha 410075, China)

  • Jie Li

    (School of Civil Engineering, Central South University, Changsha 410075, China
    National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha 410075, China)

  • Guoliang Li

    (China Railway First Survey and Design Institute Group Co., Ltd., Xi’an 710043, China)

  • Dongping Li

    (School of Civil Engineering, Central South University, Changsha 410075, China
    National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha 410075, China)

Abstract

The modeling of cyclic behavior in rock remains a challenge due to complex deformation characteristics. This paper studied the mechanical behaviors of granite samples under uniaxial cyclic loading and unloading through cyclic compression tests and acoustic emission (AE) monitoring. Then, a comprehensive body that consisted of an elastic element, plastic element, and friction element was proposed to describe the stress–strain relationship with respect to cyclic behavior, in which the friction element was connected in parallel with the serial combination of the elastic element and plastic element. Finally, the parameters of the proposed model were calibrated based on the mechanism analysis and backpropagation (BP) neural network. Results show that the behavior during unloading is primarily elastic and is accompanied by the obstruction of friction. During reloading, the behavior changes from elastic to elastic–plastic before and after the Kaiser point. The tangential modulus of the elastic element is dynamic in a linear positive correlation with elastic strain and a linear negative correlation with plastic strain; specifically, the elastic strain controls the variation process of the elastic modulus while the plastic strain determines the lower limit. The constitutive law of the plastic element is expressed by a logistic function, which means that the plastic strain increases in a trend of acceleration–deceleration. The friction element plays a major role in processing the massing effect, and the plastic element is prompted before the historical maximum stress, which reflects the ratcheting effect and Felicity effect. The reliability of the proposed constitutive model is confirmed by the comparison of the simulated stress–strain curves with the experimental curves.

Suggested Citation

  • Helin Fu & Jie Li & Guoliang Li & Dongping Li, 2022. "Hysteresis Behavior Modeling of Hard Rock Based on the Mechanism and Relevant Characteristics," Sustainability, MDPI, vol. 14(16), pages 1-18, August.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:16:p:10412-:d:894371
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    References listed on IDEAS

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    1. Chuanming Li & Nan Liu & Wanrong Liu & Ruimin Feng, 2021. "Study on Characteristics of Energy Storage and Acoustic Emission of Rock under Different Moisture Content," Sustainability, MDPI, vol. 13(3), pages 1-15, January.
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