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首页> 外文期刊>Composite Structures >Size-dependent generalized thermoelasticity model for Timoshenko micro-beams based on strain gradient and non-Fourier heat conduction theories
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Size-dependent generalized thermoelasticity model for Timoshenko micro-beams based on strain gradient and non-Fourier heat conduction theories

机译：基于应变梯度和非傅立叶导热理论的Timoshenko微梁尺寸相关的广义热弹性模型

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摘要

The governing equations of coupled thermoelasticity of Timoshenko micro-beams are developed based on the generalized thermoelastic theory and non-Fourier heat conduction model. Such problems may arise in MEMS such as micro-pumps as well as micro-sensors. The present model is on the basis of non-classical continuum theory and non-Fourier heat conduction model which has capability of capturing the size-effect in micro-scaled structures. Governing equations and both classical and non-classical boundary conditions of motion are obtained using the variational approach. As the case study, the present model is utilized for the simply supported micro-beams subjected to a constant impulsive force per unit length. It is assumed the ends of micro-beam are held at a constant temperature. Comparison of the results with those obtained by the modified couple stress and the classical continuum theories is carried out. The illustration of the existence of thermal damping in the coupled thermoelastic problem is another important contribution of this study. Findings indicate that the transient response is extremely sensitive to the material length scale parameters. In addition, only the proposed size dependent thermoelastic model can predict the unstable transient response of the micro beams under thermomechanical shocks.
机译：基于广义热弹性理论和非傅立叶热传导模型，建立了蒂莫申科微梁的耦合热弹性控制方程。此类问题可能会出现在MEMS中，例如微型泵以及微型传感器。该模型基于非经典连续理论和非傅立叶热传导模型，具有捕获微尺度结构尺寸效应的能力。使用变分方法可以获得控制方程以及运动的经典和非经典边界条件。作为案例研究，本模型用于承受单位长度恒定冲击力的简单支撑微梁。假定微束的末端保持在恒定温度下。将结果与通过修改后的耦合应力和经典连续论得到的结果进行比较。耦合热弹性问题中热阻尼的存在的说明是这项研究的另一个重要贡献。研究结果表明，瞬态响应对材料长度尺度参数极为敏感。此外，只有建议的尺寸依赖性热弹性模型可以预测在热机械冲击下微梁的不稳定瞬态响应。

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