A new strain smoothing method for triangular and tetrahedral finite elements

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This paper presents a simple and effective strain smoothing method (the strain-smoothed element method) for 3-node triangular and 4-node tetrahedral solid finite elements. While piecewise constant strain fields are constructed through smoothing domains in previous strain smoothing methods, in the proposed method, linear strain fields are constructed within finite elements using constant strains of neighboring finite elements. When the new strain smoothing method is adopted, the triangular and tetrahedral solid finite elements pass all the basic tests; patch, isotropy and zero energy mode tests, and show improved predictive capability. The formulation of the proposed method is presented in detail. Through various numerical examples, we demonstrate the accuracy improvement achieved. (C) 2018 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE SA
Issue Date
2018-11
Language
English
Article Type
Article
Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.341, pp.939 - 955

ISSN
0045-7825
DOI
10.1016/j.cma.2018.07.022
URI
http://hdl.handle.net/10203/245633
Appears in Collection
ME-Journal Papers(저널논문)
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