Researches on the Generation of Three-Dimensional Manifold Element under FEM Mesh Cover
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Three-dimensional manifold element generation and contact detection algorithm between blocks are the bottleneck for the development of three-dimensional numerical manifold method (NMM).
For building mathematics cover, the technology of three-dimensional finite element mesh generation is utilized in the paper.
Aiming at the characteristics of complex formation and difficult identification of three-dimensional manifold block, three-dimensional manifold cutting technology is developed.
It is important to achieve the coding of mathematical cover (MC) and physical cover (PC) for NMM, which directly determines the correctness of three-dimensional manifold element generation.
Based on the character that the coding of three-dimensional manifold is the same as two-dimensional field essentially, coding algorithm of PC system proposed by Dr.
Shi is extended to be three-dimensional.
A three-dimensional manifold cutting program 3D MC.f90 is developed in this paper, which can generate an arbitrary three-dimensional manifold element under tetrahedral and hexahedral mesh cover.
Several examples are made, and results show that three-dimensional manifold block shape and the coding of manifold node and element generated by three-dimensional manifold cutting program all agree well with the definition of three-dimensional manifold element.
American Psychological Association (APA)
HaiFeng, Li& Guoxing, Zhang. 2014. Researches on the Generation of Three-Dimensional Manifold Element under FEM Mesh Cover. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-448919
Modern Language Association (MLA)
HaiFeng, Li& Guoxing, Zhang. Researches on the Generation of Three-Dimensional Manifold Element under FEM Mesh Cover. Mathematical Problems in Engineering No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-448919
American Medical Association (AMA)
HaiFeng, Li& Guoxing, Zhang. Researches on the Generation of Three-Dimensional Manifold Element under FEM Mesh Cover. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-448919
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448919