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

Abstract

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.

KEYWORDS:

• Size-dependent generalized thermoviscoelastic coupling
• multi-layered viscoelastic laminated composites
• structural dynamic response
• nonlocal viscoelasticity
• heat conduction model with memory-dependent derivative
• imperfect interfacial conditions
• parametric analysis

Acknowledgements

This work is supported by the National Natural Science Foundation of China (11572237) and Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This study is funded by National Natural Science Foundation of China (11572237), Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University and Natural Science Foundation of Gansu Province (grant number 21JR1RA241).