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Classical thermo-viscoelastic models may be challenged to predict the precise thermo-mechanical behavior of viscoelastic materials without considering the memorydependent effect. Meanwhile, with the miniaturization of devices, the size-dependent effect on elastic deformation is becoming more and more important. To capture the memory-dependent effect and the size-dependent effect, the present study aims at developing a modified fractional-order thermo-viscoelastic coupling model at the microscale... 相似文献
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Based on the nonequilibrium thermodynamic theory, a new thermo-viscoelastic relation at finite strain is proposed. Under the
assumption that the specific heat at a fixed strain and fixed internal variables can be regarded as a constant, a new expression
for the free energy which decouples the mechanical and the thermal effects is derived. Through an analysis of the mesoscopic
deformation mechanism of solid polymers, a set of internal variables is introduced, and an internal-variable constitutive
theory in thermo-viscoelasticity at finite strain is formulated. An explicit expression of a thermoviscoelastic constitutive
relation is obtained for solid polymers in the case where their molecular network has a randomly oriented distribution function
at reference configuration. Moreover, the relationship between the relaxation time and the temperature is also discussed.
The viscoelastic constitutive theory proposed in reference is only a linear approximation of the present theory. 相似文献
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