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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A Multiscale, Finite Deformation Formulation For Surface Stress Effects On The Coupled Thermomechanical Behavior Of Nanomaterials
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A Multiscale, Finite Deformation Formulation For Surface Stress Effects On The Coupled Thermomechanical Behavior Of Nanomaterials

机译：表面应力对纳米材料热力学行为耦合的多尺度有限变形公式

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摘要

We present a multiscale, finite deformation formulation that accounts for surface stress effects on the coupled thermomechanical behavior and properties of nanomaterials. The foundation of the work lies in the development of a multiscale surface Helmholtz free energy, which is constructed through utilization of the surface Cauchy-Born hypothesis. By doing so, temperature-dependent surface stress measures as well as a novel form of the heat equation are obtained directly from the surface free energy. The development of temperature-dependent surface stresses distinguishes the present approach, as the method can be utilized to study the behavior of nanomaterials by capturing the size-dependent variations in the thermoelastic properties with decreasing nanostructure size. The coupled heat and momentum equations are solved in 1D using a fully implicit, monolithic scheme, and show the importance of capturing surface stress effects in accurately modeling the thermomechanical behavior of nanoscale materials.
机译：我们提出了一种多尺度有限变形公式，该公式考虑了表面应力对纳米材料耦合热力学行为和性能的影响。这项工作的基础在于开发多尺度表面亥姆霍兹自由能，该自由能是通过利用表面柯西-伯恩假设建立的。这样，可以直接从表面自由能获得与温度有关的表面应力测量值以及一种新颖的热方程式。与温度相关的表面应力的发展使本方法脱颖而出，因为该方法可用于通过捕获随着纳米结构尺寸减小的热弹性性质中与尺寸相关的变化来研究纳米材料的行为。耦合的热和动量方程式是使用完全隐式的单片方案在1D中求解的，显示了在精确建模纳米级材料的热机械行为时捕获表面应力效应的重要性。

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