The last entrance plane method for contact indeterminacy between convex polyhedral blocks

Xi, Wang; Wu, Wei; Zhu, Hehua; Zou, Hong; Lin, Jeen-Shang

doi:10.1016/j.compgeo.2019.103283

Cited by 18 publications

(4 citation statements)

References 40 publications

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“…Figure 1(d) collected all meta-contacts. According to the last entrance principle proposed by Wang et al [18], when the relative moving velocity is not considered, the meta contact with the maximum distance denotes the contact plane. Additionally, considering the relative rotation between contacting blocks 𝜃 overlap is set as the relaxation angle for contact condition/no-overlapping condition.…”

Section: Meta-contact For Contact Detectionmentioning

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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Section: Meta-contact For Contact Detectionmentioning

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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“…In the analysis of rock block systems, an assembly of polygonal block is often formed by the intersection of joints/boundaries [9,11,20,34,45,54,58]. Compared to circular/spherical shape, the polygonal/polyhedral shape brings some difficulties for mechanical analysis of block/particle assembles, such as treatment of non-smooth contact normal change at vertices [1,5,40,55,61,62], treatment of quasi-parallel edges [63], and the contact type detection of irregular polygons with small edges or small angles.…”

Section: Introductionmentioning

confidence: 99%

A robust potential-based contact force solution approach for discontinuous deformation analysis of irregular convex polygonal block/particle systems

et al. 2020

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Contact interaction of two bodies can be modeled using the penalty function approach while its accuracy and robustness are directly associated with the geometry of contact bodies. Particularly, in the research fields of rock mechanics, we need to treat polygonal shapes such as mineral grains/particles at a mesoscale and rock blocks at a macroscale. The irregular shapes (e.g., polygons with small angles or small edges) pose challenges to traditional contact solution approach in terms of algorithmic robustness and complexity. This paper proposed a robust potential-based penalty function approach to solve contact of polygonal particles/block. An improved potential function is proposed considering irregular polygonal shapes. A contact detection procedure based on the entrance block concept is presented, followed by a numerical integral algorithm to compute the contact force. The proposed contact detection approach is implemented into discontinuous deformation analysis with an explicit formulation. The accuracy and robustness of the proposed contact detection approach are verified by benchmarking examples. The potential of the proposed approach in analysis of kinetic behavior of complex polygonal block systems is shown by two application examples. It can be applied in any discontinuous computation models using stepwise contact force-based solution procedures.

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“…The nonsmooth changes of contact normal for polygon and polyhedron contact problems have been investigated, and several algorithms have been proposed to solve this issue within the explicit solution framework, such as the corner rounding scheme, 52,53 the potential particle method, 54,55 the energy conservation method, 56 and the potential function method 4,57–61 . The iterative methods in conventional DDA program can solve the polygon contact problems while remaining the nonsmooth feature in contact normal change 62–65 . The indeterminacy in solving vertex‐vertex contact problems 66 and the algorithmic robustness problem 25 for contact analysis of quasi‐parallel edges/faces pairs was also discussed.…”

Section: Introductionmentioning

confidence: 99%

“…4,[57][58][59][60][61] The iterative methods in conventional DDA program can solve the polygon contact problems while remaining the nonsmooth feature in contact normal change. [62][63][64][65] The indeterminacy in solving vertexvertex contact problems 66 and the algorithmic robustness problem 25 for contact analysis of quasi-parallel edges/faces pairs was also discussed.…”

Section: Introductionmentioning

confidence: 99%

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

Zhuang

Zheng

et al. 2020

Num Anal Meth Geomechanics

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Irregular polygon shapes (eg, with small edges or small angles) are usually encountered in the contact simulation of discrete block systems. Treatment of irregular polygons in contact detection process has critical effects on the robustness and efficiency of the discontinuous computation approach. The present work proposes a cover‐based strategy to detect and solve contacts of irregular convex polygons in a robust and efficient way. Contact constraints of two polygons are represented by vertex‐edge and edge‐vertex contact covers in 2D. Two loops, namely vertex‐edge loop and edge‐vertex loop, and two filter criteria, namely the entrance filter criterion and the distance filter criterion, are used to establish the potential contact cover list of two neighbor polygons. The initial active and closed contact covers are chosen based on block configuration at the beginning of the step and they are then updated in the open‐close iteration process using proposed criteria. This strategy is implemented in discontinuous deformation analysis. The robustness of the proposed cover‐based approach and the conventional type‐based approach in handling contact of irregular blocks is verified first. Then, the contact analysis efficiency of the cover‐based approach with different contact tolerances is evaluated. This cover‐based method can be extended to 3D case for efficient and robust contact analysis of irregular polyhedral blocks.

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The last entrance plane method for contact indeterminacy between convex polyhedral blocks

Cited by 18 publications

References 40 publications

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

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

A robust potential-based contact force solution approach for discontinuous deformation analysis of irregular convex polygonal block/particle systems

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

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