Size-dependent generalized thermo-viscoelastic response analysis of multi-layered viscoelastic laminated nanocomposite account for imperfect interfacial conditions

Multi-layered viscoelastic laminated nanocomposites have been widely used as a kind of representative active/passive vibration isolator and high-efficient damper in the practical applications of nanoengineering, due to their high energy dissipation, wide damping band and lower cost, and such composite structures often serve in a non-isothermal environment. In this work, an analytical study is conducted to investigate the size-dependent generalized thermoviscoelastic responses of multi-layered viscoelastic laminated nanocomposites. Governing equations of each homogeneous viscoelastic layer, accounting for imperfect interfacial conditions, are formulated in the context of the size-dependent generalized thermo-viscoelasticity model. Solutions accounting for non-idealized interfacial and proper boundary conditions are first presented to characterize the thermomechanical coupling of multi-layered viscoelastic laminated nanocomposites. Transient results of temperature, displacement and stresses in time domain can be achieved via Laplace inversion. Then the transient solutions obtained are applied to a one-dimensional bi-layered medium. It is found that properly selecting the nonlocal parameter and viscoelastic material constants ratios can maximally improve the heat isolation and avoid the larger harmful thermal stresses, especially at surface coating of the nanocomposites. The strategy adopted in this work is expected to be beneficial to thermal management and vibration control in nanoengineering.