Effect of residual interface stresses on effective specific heats of multiphase thermoelastic nanocomposites
2014
The
interfaceenergy theory developed by Huang et al. is further extended to incorporate the effect of the residual
interfacestresses on the effective specific heats of multiphase thermoelastic nanocomposites. First, a micromechanics-based method is employed to derive the expressions of the effective specific heats at constant-strain and constant-stress of the composites. Second, in order to take into account the influence of the
interfacestresses on the overall properties of the nanocomposites, a thermoelastic
interfaceconstitutive relation expressed in terms of the first Piola–Kirchhoff
interfacestresses and the Lagrangian description of the generalized
Young–Laplace equationsare presented. Finally, by means of the
Helmholtz free energyof the “equivalent inclusion” (the inclusion together with its
interface), analytical expressions of the size-dependent effective specific heats of the nanocomposites are obtained. The model is illustrated by an example of a “three-phase thermoelastic composite” showing that the overall properties of the nanocomposites are influenced by the “residual
interfacestresses,” which was sometimes ignored in the literature.
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