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Elastic stability analysis of auxetic columns using third‐order shear deformation theory
Author(s) -
Lim TeikCheng
Publication year - 2015
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201451637
Subject(s) - auxetics , isotropy , materials science , stiffness , shear (geology) , simple shear , deformation (meteorology) , structural engineering , mechanics , composite material , physics , optics , engineering
The analysis of auxetic structural elements undergoing transverse shear deformation has so far been largely confined to the first‐order shear deformation theory (FSDT), which requires a shear correction factor; analysis using the third‐order shear deformation theory (TSDT), which does not require a shear correction factor, is currently lacking in regard to auxetic structural elements. This paper adopts the TSDT to evaluate the elastic stability of isotropic columns with special emphasis on auxetic ones for pinned–pinned columns with springs of equal rotational stiffness at both ends. Results on columns with pinned–pinned (zero stiffness) and fixed–fixed (infinite stiffness) end conditions with square and circular cross sections reveal that auxeticity (i) reduces the transverse shear deformation, (ii) allows the use of classical theories, and (iii) provides higher elastic stability.