A memory-dependent thermal-viscoelastic model and its application in heating-induced nonlocal response analysis of a polymer microbeam

Peng, Wei; Chen, Like; He, Tianhu

doi:10.1080/15397734.2021.1947854

Cited by 9 publications

(11 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case, the influence of the fractional-order parameter is analyzed. The selection of the fractional-order parameter can refer to Peng et al 66 Three different values α = 1 , α = 0 . 5 and α = 0 . 1 are specified while the thermal nonlocal parameter and the fractional-order parameter are set as ξ = 0 and α = 0 respectively. The results at time t = 0 . 05 are exhibited in Figures 12 to 15.…”

Section: Resultsmentioning

confidence: 99%

“…The polymethyl methacrylate material is used for numerical simulation and the material parameters are as follows 66 E = 5:25310 9 N=m 2 , r = 1:2310 3 kg=m 3 ,…”

Section: Resultsmentioning

confidence: 99%

“… γ = ( 3 λ + 2 μ ) α T , where λ and μ represent the Lamé’s constants, α T represents the coefficient of linear thermal expansion. The Lamé’s constants can be defined as 66…”

Section: Theoretical Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…64 Subsequently, many investigation efforts were devoted to the dynamic analysis of viscoelastic microbeam based on the fractional-order Kelvin-Voigt model in a non-uniform temperature environment. 65,66 Although the topics about the dynamic response of viscoelastic microbeam 65,66 in heat transfer environment are wealth, the transient thermoviscoelastic response of a polymer microbeam considering both the small-scale effects of the heat conduction and the stress-strain relation based on the fractional-order Kelvin-Voigt model is barely reported. Nevertheless, with the miniaturization of the polymer devices, the small-scale effect on elastic deformation can't be ignored.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Peng

2022

The Journal of Strain Analysis for Engineering Design

Self Cite

View full text Add to dashboard Cite

Ultra-slow relaxation process of polymers has the memory-dependent feature, integer-order thermoviscoelastic models may fail to describe the dynamic behaviors of viscoelastic structures accurately. Additionally, it is noticed that the small-scale effect of elastic deformation and heat conduction in a non-isothermal temperature environment is becoming significant due to the development of micro-devices. To better capture the memory-dependent effect and the small-scale effect of viscoelastic micro-structures in heat transfer environment, as a first attempt, present work focuses on developing a refined fractional Kelvin-Voigt thermoviscoelastic model by incorporating the nonlocal dual-phase-lag (NDPL) heat conduction model and the modified coupled stress theory (MCST). Then, the model is applied to investigating the transient response of a polymer microbeam subjected to a harmonic thermal loading. The governing equations involving the modified parameters are formulated and then solved by Laplace transform method. Some parametric results are demonstrated to display the impacts of the nonlocal thermal parameter, the material length-scale parameter and the fractional-order parameter on the considered physical quantities. The results show that the small-scale effect and the memory-dependent effects strongly depend on the polymer micro-structure characteristics in thermal environment.

show abstract

Section: Resultsmentioning

confidence: 99%

“…The polymethyl methacrylate material is used for numerical simulation and the material parameters are as follows 66 E = 5:25310 9 N=m 2 , r = 1:2310 3 kg=m 3 ,…”

Section: Resultsmentioning

confidence: 99%

“… γ = ( 3 λ + 2 μ ) α T , where λ and μ represent the Lamé’s constants, α T represents the coefficient of linear thermal expansion. The Lamé’s constants can be defined as 66…”

Section: Theoretical Formulationsmentioning

confidence: 99%