Virtual gap element approach for the treatment of non-matching interface using three-dimensional solid elements

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A method for three-dimensional non-matching interface treatment with a virtual gap element is developed. When partitioned structures contain curved interfaces and have different brick meshes, the discretized models have gaps along the interfaces. As these gaps bring unexpected errors, special treatments are required to handle the gaps. In the present work, a virtual gap element is introduced to link the frame and surface domain nodes in the frame work of the mortar method. Since the surface of the hexahedron element is quadrilateral, the gap element is pyramidal. The pyramidal gap element consists of four domain nodes and one frame node. Zero-strain condition in the gap element is utilized for the interpolation of frame nodes in terms of the domain nodes. This approach is taken to satisfy the momentum and energy conservation. The present method is applicable not only to curved interfaces with gaps, but also to flat interfaces in three dimensions. Several numerical examples are given to describe the effectiveness and accuracy of the proposed method.
Publisher
SPRINGER
Issue Date
2017-10
Language
English
Article Type
Article
Keywords

LOCALIZED LAGRANGE MULTIPLIERS; CURVED INTERFACES; CONTACT PROBLEMS; MORTAR METHODS; MESHES; FORMULATION; 3D; DEFORMATIONS; INTEGRATION; MECHANICS

Citation

COMPUTATIONAL MECHANICS, v.60, no.4, pp.585 - 594

ISSN
0178-7675
DOI
10.1007/s00466-017-1423-2
URI
http://hdl.handle.net/10203/227216
Appears in Collection
ME-Journal Papers(저널논문)
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