Virtual tetrahedral gap element to connect three-dimensional non-coincident interfaces

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This study introduces a new version of a virtual tetrahedral gap element to connect partitioned structures which are independently discretized with tetrahedral elements. Tetrahedral meshes are widely used for practical engineering problems due to their simplicity. The proposed interface method employs the localized Lagrange multiplier method. The virtual tetrahedral gap elements are placed between the frame-slave and frame-master interfaces. The surface of the tetrahedral meshes is triangular; thus, a virtual tetrahedral gap element is developed. A distinct feature of the virtual tetrahedral gap element is that it has a zero-strain condition which provides the exact interface reaction forces at the non-matched interface. The proposed tetrahedral gap element handles three-dimensional interface problems more effectively than conventional segment-to-segment methods. It also provides better accuracy. The validity and robustness of the proposed method are demonstrated by several numerical examples.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2018-12
Language
English
Article Type
Article
Keywords

LOCALIZED LAGRANGE MULTIPLIERS; MORTAR METHOD; CONTACT PROBLEMS; CURVED INTERFACES; SOLID MECHANICS; 3D; MESHES; FORMULATION; DOMAIN; FEM

Citation

FINITE ELEMENTS IN ANALYSIS AND DESIGN, v.152, pp.18 - 26

ISSN
0168-874X
DOI
10.1016/j.finel.2018.08.005
URI
http://hdl.handle.net/10203/246497
Appears in Collection
ME-Journal Papers(저널논문)
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