Abstract
For the first time, Eshelby–Kroner self-consistent model extended to thermo-elastic loading is developed using the geometric mean for performing the set average operations. A new homogenization Eshelby–Kroner self-consistent approach is developed using a geometric average during thermo-mechanical loading. The description of the material thermo-elastic behaviour is carried out through new, appropriate, geometric polarisation tensors. In this paper, the classical Eshelby–Kroner thermo-elastic model based upon the arithmetic mean is used as a reference. A discussion and comparison between both average types is also provided. In particular, the coefficient of thermal expansion of silicon carbide, identified in the range 398–998 K from the knowledge of the thermal expansion of aluminium–silicon carbide metal matrix composites and pure aluminium samples do not depend on the average type chosen for achieving the computations.
Published Version
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