A cover‐based contact detection approach for irregular convex polygons in discontinuous deformation analysis

Zhuang, Xiaoying; Zheng, Fei; Zheng, Hong; Jiao, Yu‐Yong; Rabczuk, Timon; Wriggers, Peter

doi:10.1002/nag.3157

Cited by 31 publications

(2 citation statements)

References 73 publications

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“…It converts the contact relation between two blocks into a contact relationship between a point and an entrance block. Based on this contact theory, cover‐based contact detection methods 37–39 have been developed. Potential‐based penalty function methods are established to calculate the contact forces 40–42 .…”

Section: Introductionmentioning

confidence: 99%

A new cube movement test for verification of simulations of contact processes of blocks of different size in geological hazards

Wang,

Feng,

Lahayne

et al. 2024

Num Anal Meth Geomechanics

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In many geological hazards, such as landslides, a large number of irregular blocks start moving. Their interaction on the way down renders prediction of disaster scopes difficult. To study this process and to provide a novel method for validation and calibration of numerical tools for its simulation, a cube movement test is designed. The goal of this research is to obtain patterns of movement of cubes, starting from different initial stacking arrangements. Cubes of four sizes are inserted into a hollow cylinder. Their distribution after lifting the cylinder is determined. Three categories of tests refer to three different strategies of filling the cubes into the cylinder. In order to simulate cube movement tests, a numerical tool is developed in the framework of the continuum–discontinuum element method (CDEM). The contact between the individual cubes is modeled by the contact‐pairs‐based algorithm. Both the contact state and type are detected by determining the half‐space relation between contact pairs. The final positions of the cubes are strongly related to their initial arrangement. The latter is different in every test, even if the same strategy is used to fill the cubes into the cylinder. It is found that at least 20 experiments/simulations are required to obtain statistically representative results. The new test provides valuable data for validation of numerical tools used for the simulation of mass movement processes. The proposed numerical method captures the complicated movements of blocks.

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Section: Introductionmentioning

confidence: 99%

A new cube movement test for verification of simulations of contact processes of blocks of different size in geological hazards

Wang,

Feng,

Lahayne

et al. 2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…Within the framework of Shi's Contact Theory, Zhang [12] devised entrance blocks for 2D convex polygonal blocks, effectively circumventing the locality assumption of the DS method. However, most algorithms that attempt to implement Contact Theory [13][14][15][16] adhere to the locality assumption for simplicity, thereby inheriting the limitations of DS. This is understandable because constructing entrance blocks for contact detection in 3D scenarios is an exceedingly intricate task.…”

Section: Introductionmentioning

confidence: 99%

Meta-contact analysis based on contact theory in three-dimensional discontinuous deformation analysis

Wang,

Wu,

Zhu

2024

IOP Conf. Ser.: Earth Environ. Sci.

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Accurate contact analysis between nonspherical blocks, such as polyhedral blocks, is crucial for modeling jointed rock masses. The Contact Theory provides a rigorous foundation for contact detection. However, designing a robust and efficient algorithm that conforms to the original Contact Theory remains challenging. This study introduces the meta-contact concept for polyhedral blocks, which corresponds to the contact cover on the entrance block of the Contact Theory. Using the meta-contact concept, contact type identification, determination of contact points and plans, and contact force calculation can be formulated while retaining the advantages of Contact Theory in dealing with irregular blocks with small edges and large penetration.

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Extension of a 3D Geological Entity Modeling Method for Discontinuous Deformation Analysis

Wang,

Fu,

Sheng

et al. 2024

Num Anal Meth Geomechanics

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With the development of 3D discontinuous deformation analysis (DDA) in precise stress fields and crack propagation problems, it has also demonstrated outstanding capabilities in solving continuous–discontinuous problems. However, currently, 3D DDA modeling primarily focuses on generating rock joint networks and developing 3D cutting algorithms. Correspondingly, 3D geological modeling methods are not yet mature, and establishing 3D models often demands substantial time. The lack of supporting preprocessing modeling methods and corresponding visual operation interfaces significantly hampers the development of 3D DDA. This method builds upon advanced research achievements in unmanned aerial vehicle oblique photography, 3D reconstruction, 3D cutting, computer graphics, and visualization program design. This research establishes a 3D geological entity modeling method for 3D DDA and constructs a comprehensive program using relevant C++ libraries and C language interfaces. In this method, a 3D geological model that incorporates geological elements such as strata and faults is initially established using non‐uniform rational B‐splines (NURBSs) surfaces as the boundary of the solid model. Subsequently, finite element meshing is applied, followed by corresponding topology transformation, resulting in a 3D block system model suitable for 3D DDA calculation. To cater for diverse application scenarios, continuous–discontinuous models integrated with subblocks and models of arbitrary polyhedra can be established. The proposed method has been validated through several typical modeling examples, showing its ability to rapidly and generate 3D high‐precision geological reality models suitable for 3D DDA calculations. Additionally, some techniques used in this method can be extended for modeling other numerical simulation methods, warranting further research.

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A cover‐based contact detection approach for irregular convex polygons in discontinuous deformation analysis

Cited by 31 publications

References 73 publications

A new cube movement test for verification of simulations of contact processes of blocks of different size in geological hazards

A new cube movement test for verification of simulations of contact processes of blocks of different size in geological hazards

Meta-contact analysis based on contact theory in three-dimensional discontinuous deformation analysis

Extension of a 3D Geological Entity Modeling Method for Discontinuous Deformation Analysis

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