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Particle Discrete Method Based on Manifold Cover for Crack Propagation of Jointed Rock Mass
Joint Authors
Li, Shu-Chen
Li, Shu-Cai
Ma, Teng-Fei
Zhang, Lu-Chen
Ping, Yang
Kou, Qiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The rock mass can be assumed to be homogeneous material from a macroscopic view; however, it is the heterogeneous material in mesoscopic scale and its physicomechanical properties are discontinuous in space.
The failure of jointed rock mass was usually caused by the initiation, propagation, and coalescence of new wing cracks derived from primary joint.
In order to further study the rock fracture instability, we need to study the expansion of rock cracks under external loads from the macro-meso perspective.
This paper, based on the manifold cover concept, proposes a new discrete element numerical method, manifold particle discrete (MPD), combined with the particle contact model and the introduced concept of stress boundary.
The proposed method can easily simulate the crack generation, propagation, and coalescence of jointed rock mass from the macro-meso perspective.
The whole process of rock fragmentation is thereafter reproduced.
By analyzing the manifold cover and sphere particle model, this paper constitutes the sphere unit cover function of three-dimensional manifold cover, establishes tetrahedron units, and obtains the equilibrium equation and compatible equation of the MPD model.
For rock-like brittle material, crack propagation process can be simulated, and it also verifies the accuracy of the proposed numerical method.
American Psychological Association (APA)
Ping, Yang& Li, Shu-Chen& Li, Shu-Cai& Kou, Qiang& Zhang, Lu-Chen& Ma, Teng-Fei. 2014. Particle Discrete Method Based on Manifold Cover for Crack Propagation of Jointed Rock Mass. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-462865
Modern Language Association (MLA)
Ping, Yang…[et al.]. Particle Discrete Method Based on Manifold Cover for Crack Propagation of Jointed Rock Mass. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-462865
American Medical Association (AMA)
Ping, Yang& Li, Shu-Chen& Li, Shu-Cai& Kou, Qiang& Zhang, Lu-Chen& Ma, Teng-Fei. Particle Discrete Method Based on Manifold Cover for Crack Propagation of Jointed Rock Mass. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-462865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462865