Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects

被引:13
作者
Qi, Zezhang [1 ]
Peng, Wei [1 ]
He, Tianhu [1 ]
机构
[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
基金
美国国家科学基金会;
关键词
Memory-dependent derivative; modified couple stress theory; nonlocal thermoelastic theory; ramp-type heating; transient thermoelastic response; FRACTIONAL ORDER THEORY; NANOMECHANICAL RESONATORS; NONLOCAL ELASTICITY; WAVE-PROPAGATION; MICRO-BEAMS; VIBRATIONS; LEQUATION;
D O I
10.1080/01495739.2022.2109543
中图分类号
O414.1 [热力学];
学科分类号
摘要
For nano/micro-scale structures, the classical continuum mechanics can't properly depict the size-dependent effect arising in them anymore. In addition, Fourier's law is limited in describing the heat transfer process in nano/microstructures due to its nature of predicting infinite heat speed. To amend such defects, the non-classical continuum mechanics based on the nonlocal elasticity theory and the modified couple stress theory incorporating the non-Fourier heat transfer model with memory-dependent effect is formulated to characterize the thermoelastic behaviors in micro/nano-scale system in the present work. Then, the model is used to study the dynamic response of an Euler-Bernoulli nanobeam subjected to a ramp-type heating. The corresponding governing equations are derived and then solved by Laplace transform method and its numerical inversion. The distributions of the non-dimensional transverse deflection, temperature and displacement are obtained and illustrated graphically. In calculation, the influences of the ramp heating time parameter, the material length parameter, the nonlocal parameter, the time-delay factor and the kernel functions on the considered physical quantities are examined and discussed in detail.
引用
收藏
页码:773 / 792
页数:20
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