Study of statistical damage constitutive model of layered composite rock under triaxial compression

Liu, Yongsheng; Qiu, Zhuan-Zhuan; Zhan, Xue-Cai; Liu, Huinan; Gong, Hainan

doi:10.2478/amns.2021.2.00048

Cited by 11 publications

(11 citation statements)

References 5 publications

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“…Cohesion remains unchanged in the elastic stage and continues to evolve in the plastic stage. Consequently, the micro-element strength function is set as follows [ 39 , 44 ]:

…”

Section: Statistical Damage Model Of Csgmentioning

confidence: 99%

“…Chen [ 41 ] and Zhao [ 42 ] selected the Drucker–Prager strength criterion as the micro-strength function to create a statistical damage model for rock. Jiang et al [ 43 ] and Cao et al [ 44 ] established a statistical damage constitutive model that considers post-peak brittle drop and strain softening respectively. In addition, their statistical damage model is not only applicable to rock materials but also to concrete [ 45 ] and soil [ 46 ] materials.…”

Section: Introductionmentioning

confidence: 99%

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A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

et al. 2023

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Cemented sand and gravel (CSG) has a wide range of applications in dam construction, and its properties are between rockfill and roller compacted concrete (RCC). A difference in gel content will result in a variance in CSG’s structure and mechanical properties. To investigate the intricate structural mechanical properties of CSG, this study conducted a series of laboratory tests and associated discrete element analyses. Accordingly, the evolution law of the strength parameters of CSG is explored and a statistical damage constitutive model suitable for CSG is established. The main contributions of this study are as follows: (1) The failure mechanism of the CSG was described from the microscopic level, and the evolution law of the strength parameter cohesion and friction angle of the CSG was analyzed and summarized. (2) Based on the particle flow model, the energy development law and the spatiotemporal distribution law of acoustic emission (AE) provide illustrations of the strain hardening–softening transition features and the interaction between cohesion and friction of CSG. (3) The evolution function between the strength parameter and the strain softening parameter was built, and the critical strain softening parameter was determined by the microcrack evolution law of the particle flow model. (4) The accuracy of the evolution curve was confirmed by comparing it to experimental results. (5) Based on the relationship between cohesion loss and material damage, a statistical damage constitutive model was developed using the improved Mohr–Coulomb strength criterion as the micro strength function. The constitutive model can accurately describe the stress–strain curves of CSG with different gel content. Furthermore, the model reflects the strain hardening–softening properties of CSG and reveals the relationship between the weakening of cohesion and material damage at the microscopic level. These findings provide valuable guidelines for investigating the damage laws and microcosmic failure features of CSG and other relevant materials.

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“…Cohesion remains unchanged in the elastic stage and continues to evolve in the plastic stage. Consequently, the micro-element strength function is set as follows [ 39 , 44 ]:

…”

Section: Statistical Damage Model Of Csgmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

et al. 2023

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“…Therefore, choosing method to determine the distribution parameters

and m was the key problem to solve the application of the statistical damage constitutive model. At present, the methods for determining distribution parameters are mainly the inversion analysis method [ 51 ], the linear fitting method [ 52 ], and the peak point method [ 53 ]. The peak point method focuses on the highest point of the test curve due to its clear physical meaning and simple processing.…”

Section: Constitutive Modelmentioning

confidence: 99%

Research on the Impact Mechanical Properties of Real-Time High-Temperature Granite and a Coupled Thermal–Mechanical Constitutive Model

Zhai

Xie

et al. 2023

Materials

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Studying the mechanical behavior of rocks under real-time high-temperature conditions is of great significance for the development of energy caverns, nuclear waste disposal projects, and tunneling engineering. In this study, a real-time high-temperature impact compression test was conducted on Sejila Mountain granite to explore the effects of temperature and external load on its mechanical properties. Based on the concepts of damage mechanics and statistics, a coupled thermal–mechanical (T-M) damage constitutive model was established, which considers the temperature effect and uses the double-shear unified strength as the yield criterion. The parameter expressions were clarified, and the accuracy and applicability of the model were verified by experimental data. The research results indicated that high temperatures had an obvious damaging and deteriorating effect on the strength of the granite, while an increase in impact velocity had an enhancing effect on the strength of the granite. The established constitutive model theoretical curve and test curve showed a high degree of agreement, indicating that the coupled T-M model can objectively represent the evolution process of damage in rocks and the physical meaning of its parameters is clear.

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“…In recent years, with the booming development of the eld of computer graphics and the further development of computer-related electronic components, the application of 3D animation technology in various elds such as augmented reality, virtual reality, and lm animation special e ects production is in full swing. In essence, computer 3D animation is a series of continuous images displayed by a computer at a certain rate, giving people a sense of animation [1]. ere are multiple similar actions in an action, especially a montage combination, and the same action is divided into di erent directions.…”

Section: Introductionmentioning

confidence: 99%

“…e existing 3D human animation methods are very demanding in terms of both the quality of the model itself and the accuracy of the skeletal skin and often require a great deal of human and material e ort in the adjustment of the model during the animation process. With the development of science and technology and the innovation of concepts, the variety of animated short films has gradually increased in terms of form and content, and the number of genres has grown [1].…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Animation Character Dance Movement Model Based on the Edge Distance Random Matrix

Jin

2022

Mathematical Problems in Engineering

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In this paper, we use the edge distance random matrix method to analyze and study the dance movements of 3D animation characters and design a 3D animation character dance movement model. Firstly, each dance movement video in the dataset is divided into equal parts, while the segmented videos are subjected to the operation of accumulating edge features separately, and the edge features in all video images within each segment are accumulated into one image, and the directional gradient histogram features are extracted from them. Finally, a set of directional gradient histogram features are used to represent the local appearance and shape of the video dance movement. The reconstructed human movements are obtained mainly by fitting the 3D human coordinates in the image space using the human model and the estimated depth coordinates, which are currently more mature and are chosen from existing techniques. In other combinations, the performance of the method in this paper is better than the recognition results of the benchmark method, especially when the similarities of dance movements in the towel flower combination and the piece flower combination are too high. In response to the problem of the reconstructed action appearing to have ground penetration, slipping, and floating feet, a method is proposed to optimize the fitting human model foot problem according to the foot touching the ground. The experimental results show that the method can replace the traditional motion capture method to a certain extent, simplify the use of motion capture, and reduce the cost of motion capture. In the model deformation stage, to reduce the deformation quality problem during the model motion and improve the efficiency of weight calculation, a model deformation method combining double quaternions and bounded double tuning and weights are given. The static 3D model is tetrahedralization, and then the skeletal control points of the model are set and the weight of each skeletal segment to the model is calculated; next, the 3D model is mixed and bound with the skeletal data using the dual quaternion skinning algorithm; finally, the static 3D model motion is driven by the skeletal data. Experiments demonstrate that the method results in better deformation of the 3D model during rotation.

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Study of statistical damage constitutive model of layered composite rock under triaxial compression

Cited by 11 publications

References 5 publications

A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

Research on the Impact Mechanical Properties of Real-Time High-Temperature Granite and a Coupled Thermal–Mechanical Constitutive Model

A Three-Dimensional Animation Character Dance Movement Model Based on the Edge Distance Random Matrix

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