Uniaxial stress relaxation behavior of marble after cyclic disturbance loads

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Uniaxial stress relaxation behavior of marble after cyclic disturbance loads Yaoliang Zhu1,2 · Jin Yu1 · Xianqi Zhou3 · Zhehao Yang1 · Xin Tang1 · Xueying Liu1

Received: 7 March 2020 / Accepted: 23 July 2020 © Springer Nature B.V. 2020

Abstract It is known that time-dependent rheological deformation of rocks is influenced by cyclic disturbance loads. However, the stress relaxation behavior after cyclic disturbance is still poorly understood. To study such effects, a dynamic disturbance electrohydraulic servo triaxial test system was developed. A series of disturbance relaxation tests with different disturbance numbers and amplitudes were carried out on marble at several strain levels. The influence of cyclic disturbance parameters on the relaxation magnitude, relaxation rate, and peak stress was analyzed. Relaxation magnitude and relaxation rate after cyclic disturbance loads are larger than those of conventional relaxation. In addition, sensitivity analysis reveals that the relaxation magnitude is more sensitive to the disturbance amplitude. Damage variables defined by the plastic strain method can well reflect the evolution law of relaxation damage under different disturbance conditions. It is believed that the damage model constructed by Harris function can better describe the relaxation damage evolution law at various strain levels. Keywords Stress relaxation · Cyclic disturbance · Relaxation magnitude · Sensitivity · Harris function

1 Introduction The rheological behavior of rocks is a common phenomenon in engineering field. For example, the rock rheology occurs after the excavation and support of some underground chambers, roadways, and tunnels. Generally speaking, the rheological behavior includes the creep or stress relaxation, or both (Aydan et al. 2013). Research on the topic of creep

B J. Yu

[email protected]

1

Fujian Research Center for Tunneling and Urban Underground Space Engineering, Huaqiao University, Xiamen 361021, China

2

College of Engineering, Fujian Jiangxia University, Fuzhou 350108, China

3

School of Civil Engineering & Architecture, Xiamen University of Technology, Xiamen 361024, China

Mech Time-Depend Mater

has been widely reported (Zhang et al. 2013; Özsen et al. 2014; Mishra and Verma 2015; Liu et al. 2015; Niu et al. 2019; Yu et al. 2020a, 2020b). As another characteristic of rock rheology, the stress relaxation plays an important role in predicting the long-term strength and grade of surrounding rock. It also has an important impact when assessing the longterm stability of projects such as rock slopes and underground caverns (Yu et al. 2014; Zhang et al. 2020). Therefore some researchers have carried out research on the stress relaxation behavior under uniaxial or triaxial compression (Li and Xia 2000; Schulze 2011; Yu et al. 2016a, 2016b; Tian et al. 2016; Yang et al. 2017b; Liu et al. 2018). The research objects include sandstone, claystone, mudstone granite, and so on. Test results show that the stress relaxation depends on the rock material, strain level, confining pr