A transition function for the solid particle erosion of rocks

Momber, Andreas W.

doi:10.1016/j.wear.2015.03.005

Cited by 6 publications

(2 citation statements)

References 27 publications

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“…The statistical damage evolution equation of rock materials can be established by making some assumptions about influencing factors of the mesostructure and then further studying the comprehensive effect of the mesostructure on the macroscopic mechanical behavior with the method of probability statistics (Huang et al., 2018; Momber, 2015; Pakzad et al., 2018). Before rock joints are modeled, the following assumptions are made for simplification: The joint is simplified into an equivalent thin layer plane (thickness δ ≈ 0) composed of numerous mesoscopic elements as shown in Figure 3. There is no interaction between the mesoscopic elements, and their destruction is subject to a statistical distribution. The mesoscopic element enters the damage state once shear displacement occurs, and the stress rapidly reaches the residual strength, and this process is instantaneous and irreversible. …”

Section: Modeling the Whole Process Of Shear Behavior Of Rock Jointsmentioning

confidence: 99%

A statistical damage constitutive model considering whole joint shear deformation

Xie

Lin

Wang

et al. 2020

International Journal of Damage Mechanics

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The whole shear deformation of rock joints significantly affects the long-term behavior and safety of engineering projects. In this paper, a new damage constitutive model related to the Weibull distribution and statistical damage theory is proposed. This model considers the shear stiffness degradation, post-peak softening, and residual phase of rock joints in the whole shearing process. Main works include the three following aspects: First, the phase of initial damage is determined on the assumption that the joint shear failure is regarded as a result of damage evolution, according to the typical joint shear curve and the three-parameter Weibull distribution. Then, a statistical damage evolution model for the whole joint shearing process is introduced to make this model be capable of describing the residual phase of rock joints. Finally, a statistical constitutive model for the whole joint shearing process is proposed by statistical damage theory, and the calculated results of the models are compared to the experimental results. The results indicate that the proposed model shows a good agreement with the experimental examples, and the proposed model can distinctly reflect the effects of residual stress, peak stress, and shear stiffness. In addition, the model parameters can be mathematically confirmed and have distinct physical meanings.

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Section: Modeling the Whole Process Of Shear Behavior Of Rock Jointsmentioning

confidence: 99%

A statistical damage constitutive model considering whole joint shear deformation

Xie

Lin

Wang

et al. 2020

International Journal of Damage Mechanics

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show abstract

“…The key to conducting mechanical analysis of heterogeneous geomaterial is to establish a computational mechanical model that reflects the heterogeneity characteristics. Currently, numerical modeling methods for describing the heterogeneity of geomaterials include probability statistics [31,32], spatial variation [33], digital image technology [34,35], and machine learning [36,37]. To some extent, the modeling method of probability statistics can characterize the heterogeneity of geomaterials but the dual characteristics of the overall structural and local randomness of geomaterial parameters are not reflected in this method.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Crack Propagation and Branching Behaviors in Heterogeneous Rock-like Materials

Xu,

Zhao,

Zhang

et al. 2024

Buildings

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The characterization and understanding of crack evolution in non-uniform geological structures are crucial for predicting the mechanical response of rock-like materials or structures under varying loading conditions. In this study, an improved Peridynamic model with a degree of heterogeneity characterized by random pre-breaking “bonds” coefficients is introduced to capture the intricacies of crack initiation, propagation, and branching behaviors in heterogeneous rock-like materials. MATLAB discrete programs for heterogeneous material models and PD simulation programs based on the FORTRAN language were developed. The effectiveness of the heterogeneous PD model in simulating crack propagation and branching patterns in heterogeneous materials has been verified through dynamic and static (quasi-static) loading cases with pre-notch. The different levels of heterogeneity not only affect the direction of crack propagation but also determine the crack deflection direction and branching patterns. The crack propagation path appears to possess obvious asymmetry in the crack propagation direction. As the load applied continues to increase, the asymmetric multi-crack branching phenomenon will occur. The higher the level of heterogeneity, the more complex the behaviors of crack propagation and branching become. This research provides valuable insights into the interplay of material heterogeneity and crack evolution, offering a foundation for improved numerical simulations and contributing to the broader field of geomechanics.

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Fracture mechanism and damage characteristics of coal subjected to a water jet under different triaxial stress conditions

Cao

et al. 2022

Journal of Petroleum Science and Engineering

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A transition function for the solid particle erosion of rocks

Cited by 6 publications

References 27 publications

A statistical damage constitutive model considering whole joint shear deformation

A statistical damage constitutive model considering whole joint shear deformation

Numerical Simulation of Crack Propagation and Branching Behaviors in Heterogeneous Rock-like Materials

Fracture mechanism and damage characteristics of coal subjected to a water jet under different triaxial stress conditions

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