Extrema and Zeros of Coefficients of Thermal Expansion of a Balanced Symmetric Laminate

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Abstract
Expressions for coefficients of thermal expansion (CTEs) of a [θ/ — θ] s lami nate are recast into a form showing explicity their dependence on lamination angle and thermoelastic constants of laminae used. Using these new expressions, zeros and extrema have been studied. Angles giving extrema for CTEs of a laminate are shown to be indepen dent of CTEs of laminae used. Moreover, limits for G12 of laminae used are derived lead ing to 2, 1 or no angles giving extrema in addition to the trivial ones at 0° and 90°.

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