An enhanced constitutive model for quasi-brittle rocks with localized damage

Wang, Susheng; Zhao, Lun‐Yang; Zhang, Wanlu

doi:10.1007/s11440-022-01677-4

Cited by 6 publications

(4 citation statements)

References 41 publications

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“…The influence of heterogeneity on the deformation and mechanical properties of rocks is quite complex. Even when the lithology, load level and action mode are identical, the stress-strain curves obtained from multiple repeated tests frequently don't completely overlap [29,32]. Heterogeneity not only alters the macroscopic mechanical parameters of rocks but also reshapes the dynamic process of deformation and failure, providing an important entry point for a deeper understanding of rocks' mechanical behaviour and failure mechanisms.…”

Section: Fig1 Characteristic Curves Of Heterogeneous Quasi-brittle Ro...mentioning

confidence: 99%

“…In the event of high stress, rocks are susceptible to the development of stress concentration zones, which are prone to fracture, particularly in areas with a higher concentration of defects [10,11,19]. This results in sudden failure, which further causes the post-peak strain softening process to exhibit random variations [29]. The simulation method for this post-peak random failure behaviour has significant research value in the field of rock engineering, providing insights into the mechanical mechanisms and behavioural patterns during rock fracture [39].…”

Section: Introductionmentioning

confidence: 99%

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Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks

Zhang,

Ren,

et al. 2024

Preprint

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This paper captures the frequently encountered post-peak random failure behaviour of quasi-brittle rocks in conventional triaxial compression. The post-peak theoretical curve of the classic statistical damage constitutive model is essentially regulated by the Weibull distribution parameters m and F0. There exists a one-to-one mapping relationship between the array sets of parameters m and F0 and the confining pressure. However, the peak point method is unable to effectively constrain the post-peak theoretical curve of the model, resulting in the situation that under specific confining pressure, the post-peak theoretical curve of the classic model is unique and stochastic. In order to address this issue, this paper considers the influence of the degradation effect of damaged micro-elements on heterogeneity and proposes a modified damage model based on the classic damage model. A functional hypothesis expression integrating the effects of heterogeneity and stress level is constructed, and an improved statistical damage constitutive model considering the influence of damage threshold is derived. Through case verification and sensitivity analysis of model parameters, the results indicate that compared with the classic model, the model proposed in this paper, with only one additional parameter, can effectively simulate the post-peak random failure behaviour of heterogeneous quasi-brittle rocks under specific confining pressure. A comparison between predictions and published experimental data is claimed to be satisfactory, and it is revealed that the stress drop in the post-peak region of rocks is not completely random but exhibits stochastic characteristics within a certain range.

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Section: Fig1 Characteristic Curves Of Heterogeneous Quasi-brittle Ro...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks

Zhang,

Ren,

et al. 2024

Preprint

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“…Furthermore, the reported testing data 18–20 implies the effect of hydrate saturation on the critical state line (CSL), which results in the increase of dilatancy. At the deep seabed with high confining pressure, grain breakage process is an interesting phenomenon, which has attracted much attention 21–24 . Some numerical simulations are carried out to study the grain breakage process and its effects on localized deformation bands formation 25–33 .…”

Section: Introductionmentioning

confidence: 99%

“…At the deep seabed with high confining pressure, grain breakage process is an interesting phenomenon, which has attracted much attention. [21][22][23][24] Some numerical simulations are carried out to study the grain breakage process and its effects on localized deformation bands formation. [25][26][27][28][29][30][31][32][33] For example, Ip and Borja proposed a framework for modeling breakage process during compaction band formation by coupling a phase-field approach with modified Cam-Clay plasticity and breakage mechanics.…”

Section: Introductionmentioning

confidence: 99%

A hypoplastic model for hydrate‐bearing sand considering hydrate saturation and grain breakage

Qian,

Wu,

et al. 2023

Num Anal Meth Geomechanics

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We present a hypoplastic model to capture the mechanical responses of hydrate‐bearing sands by incorporating hydrate saturation and grain breakage. In our model, a new degradation scalar is introduced to account for the effects of hydrate bonding evolution on strength. We also adopt the variable critical state line to assess the effects of hydrate saturation and relative breakage ratio at high confining pressure. This model is validated by modeling a series of laboratory tests.

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A novel time-dependent damage constitutive model for hard rock materials

Wang,

Yang,

Zhang

2023

Geomech. Geophys. Geo-energ. Geo-resour.

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The mechanical behavior of deep hard rocks plays a crucial role in the long-term safety and stability of engineering structures. This work focuses on studying the instantaneous and time-dependent fracture propagation of hard rock materials from a theoretical perspective. A new unified constitutive model, based on a modified Mohr–Coulomb (M-C) criterion, is proposed to accurately represent the short and long-term mechanical properties of hard rocks. To capture the strain hardening and strain softening behaviors, damage is utilized as an internal mechanism-driven variable, controlling the expansion and contraction of the plastic yield surface. Additionally, a combination of time-dependent damage law and viscoplastic theory is employed to account for nonlinear creep deformation characteristics. By considering the time-dependent effects, the model can be applied to both instantaneous loading and creep conditions. The general algorithm format is derived in detail, and an explicit integration algorithm is utilized to update the time-dependent damage evolution. Finally, the proposed model is validated by comparing its predictions with the short and long-term mechanical responses of Beishan granite and Rumei dacite. This comprehensive constitutive model improves our understanding of continuum damage mechanics and provides a scientific basis for analyzing and evaluating the long-term safety and stability of deep hard rock engineering projects.

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An enhanced constitutive model for quasi-brittle rocks with localized damage

Cited by 6 publications

References 41 publications

Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks

Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks

A hypoplastic model for hydrate‐bearing sand considering hydrate saturation and grain breakage

A novel time-dependent damage constitutive model for hard rock materials

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