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Coefficient of thermal expansion of stacked auxetic and negative thermal expansion laminates
Author(s) -
Lim TeikCheng
Publication year - 2011
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.200983970
Subject(s) - auxetics , thermal expansion , negative thermal expansion , materials science , isotropy , composite material , poisson's ratio , poisson distribution , displacement (psychology) , thermal , plane (geometry) , mathematics , geometry , thermodynamics , physics , optics , psychology , statistics , psychotherapist
Analytical expressions for the in‐plane and out‐of‐plane coefficients of thermal expansion for laminates with isotropic laminas are presented herein based on (i) zero net force on the laminate edges, (ii) equal displacement of the lamina edges, and (iii) Hooke's law in three dimensions. Results show that a laminate consisting of alternating auxetic (with positive coefficient of thermal expansion, CTE) and negative thermal expansion (NTE) (with positive Poisson's ratio) laminas exhibit a more negative effective CTE than a laminate of alternating conventional laminas (positive Poisson's ratio and positive CTE) with unconventional laminas (auxetic and NTE). Finally, temperature‐dependent CTE for such laminates are developed and plotted for special cases. It is herein shown that under certain circumstances, the magnitude of temperature‐dependent effective CTE tends to infinity.