A stabilized mixed-FE scheme for frictional contact and shear failure analyses in deformable fractured media

Wang, Lu-Yu; Vuik, C.; Hajibeygi, Hadi

doi:10.1016/j.engfracmech.2022.108427

Cited by 12 publications

(6 citation statements)

References 43 publications

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“…8 and 9, the convergence is almost a linear relation during reducing grid size. A similar result can also be found in our recent publication related to stress analysis of the fractured media (Wang et al 2022a). Moreover, the convergence results prove that the improved singular-FEM is more accurate than those of FEM with linear triangular element (LTE) and almost as accurate as quarter-point element (QPE).…”

Section: Model Performance: Comparison Of Different Methodssupporting

confidence: 88%

“…We are concerned about the opening δ f between the two sides of crack. The analytical solution reported in literature (Ucar et al 2018;Wang et al 2022a) reads:…”

Section: Model Performance: Comparison Of Different Methodsmentioning

confidence: 99%

“…(2) Discretize the computational domain using Delaunay triangulation. The grid resolution depends on the minimum size of cracks (Shewchuk 2002;Wang et al 2022a, c). (3) At each step, calculate SIFs according to Eq.…”

Section: Algorithm For Crack Propagation and Interactionmentioning

confidence: 99%

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Characteristics of crack growth in brittle solids with the effects of material heterogeneity and multi-crack interaction

Wang,

Yin,

Chen

2024

Int J Fract

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Despite the extensive research on crack propagation in brittle solids, numerous unexplored problems still necessitate in-depth study. In this work, we focus on numerical modeling of multi-crack growth, aiming to explore the effect of material heterogeneity and multi-crack interaction on this process. To do this, an improved singular-finite element method (singular-FEM) is proposed with incorporation of heterogeneity and crack interaction. An efficient algorithm is proposed for simulating multi-crack propagation and interaction. Stress singularity near crack tip is reproduced by the singular elements. The singular-FEM is convenient and cost-effective, as the zone far away from crack tips is directly discretized using linear elements, in contrast to the quadratic or transition elements utilized in traditional FEM. Next, the proposed method is validated through benchmark study. Numerical results demonstrate that the superiority of the singular-FEM, which combines the merits of low cost and high accuracy. Then, the mechanics of crack growth are explored in more complex scenarios, accounting for the effects of crack interaction, loading condition and heterogeneity on crack trajectory, stress field and energy release rate. The findings reveal that the combined effect of heterogeneity and crack interaction plays a critical role in the phenomenon of crack growth, and the proposed method is capable of effectively modeling the process.

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Section: Model Performance: Comparison Of Different Methodssupporting

confidence: 88%

“…We are concerned about the opening δ f between the two sides of crack. The analytical solution reported in literature (Ucar et al 2018;Wang et al 2022a) reads:…”

Section: Model Performance: Comparison Of Different Methodsmentioning

confidence: 99%

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Characteristics of crack growth in brittle solids with the effects of material heterogeneity and multi-crack interaction

Wang,

Yin,

Chen

2024

Int J Fract

Self Cite

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“…According to the contact theory, after the indenter contacts the specimens, the local elastic–plastic deformation caused by the shear stress appears near the indentation, 65 as shown in Figure 11A. With the continuous increase of the depth, the elastic–plastic deformation area also continuously expands to the inside of the material until the indentation depth reaches a certain value, and then the region under the shear stress is relatively stable.…”

Section: Resultsmentioning

confidence: 98%

On the evaluation of uniaxial tensile and fracture properties of Ti‐6Al‐4V by spherical indentation tests with different calculation models

Wang

Liu²,

Zheng

et al. 2023

Fatigue Fract Eng Mat Struct

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This study assessed the efficacy of models in predicting uniaxial tensile and fracture properties of Ti‐6Al‐4V (TC4) alloys via spherical indentation tests (SITs). Four models, including one empirical, one numerical, and two analytical, were selected as representatives to evaluate uniaxial tensile properties. A series of experiments were conducted on TC4 alloys obtained from three manufacturing processes: selective laser melting (SLM), forging, and welding. The empirical model underestimated the material's strength, while the other models were mostly conservative, with errors within 10%, acceptable for engineering applications. However, although the incremental model is able to provide a desirable result, it may be inaccurate for calculating the yield strength. Thus, the source of errors in each model was thoroughly investigated through theoretical analysis and finite element calculations. Additionally, based on the results of optimal strength assessment, this study validated the effectiveness of the critical stress model to evaluate the fracture toughness of TC4 alloys.

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“…In recent years, many types of numerical methods have been presented, such as the finite element method, finite difference method and universal distinct element code. 18,19 All these methods have been widely used to solve engineering problems and play significant roles in obtaining the overall mechanical information of underground construction. Nevertheless, because the boundary conditions applied to the numerical model are much simpler than the actual field conditions, there is always a certain difference between the calculated results and the actual mechanical status of the structure.…”

Section: Introductionmentioning

confidence: 99%

Overall sensing method for the three-dimensional stress of roadway via machine learning on SHM data

Tan

Chen

Gao

et al. 2023

Structural Health Monitoring

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Monitoring roof stress is essential for identifying structural anomalies and preventing disasters during underground construction. However, current sensors mainly focus on monitoring in one dimension, and it is challenging to obtain the mechanical status of the overall roof owing to the limitations of sensor numbers and the working environment. Therefore, we aimed to present an overall sensing method for the three-dimensional stress status of a roadway roof through machine learning (ML) based on limited monitoring points. First, the framework of the overall sensing method was developed, where a three-dimensional stress sensor was created to obtain the mechanical behaviours of some sensitive positions, and an ML model driven by the physical mechanism and limited monitoring data was developed to derive the overall stress situation. The developed sensor was installed in a case study, and the ML model was formulated based on the field-monitoring data. A series of experiments were conducted to derive the stress distribution of the roadway roof in the study case. Furthermore, a numerical simulation was conducted to compare the reasonability of the deduction results. The experimental results indicated that the deduction results of roof stress were reasonable, and thus the proposed sensing method is reliable.

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A stabilized mixed-FE scheme for frictional contact and shear failure analyses in deformable fractured media

Cited by 12 publications

References 43 publications

Characteristics of crack growth in brittle solids with the effects of material heterogeneity and multi-crack interaction

Characteristics of crack growth in brittle solids with the effects of material heterogeneity and multi-crack interaction

On the evaluation of uniaxial tensile and fracture properties of Ti‐6Al‐4V by spherical indentation tests with different calculation models

Overall sensing method for the three-dimensional stress of roadway via machine learning on SHM data

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