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Effect of nonlocal thermoelasticity on buckling of axially functionally graded nanobeams

机译：非局部热弹性对轴向功能梯度纳米束屈曲的影响

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摘要

In this work, the thermal effect on the buckling response of the axially functionally graded (AFG) nanobeams is studied based on the nonlocal thermoelasticity theory. Size effects of elastic deformation and heat conduction are considered simultaneously. Non-uniform distribution of temperature along the longitudinal direction of the AFG nanobeams is taken into account and determined by the nonlocal heat conductive law. Equations of motion and the corresponding boundary conditions are derived with the aid of the variational principle within the sinusoidal shear deformation theory and the nonlocal thermoelasticity theory. Ritz method is used to obtain the solutions for the thermal buckling response of the AFG nanobeams with various boundary conditions. Numerical results addressing the significance of the AFG index, the nonlocal parameters of elasticity and heat conduction, and the transverse shear deformation on the buckling behavior are displayed. It is found that, in addition to the nonlocal effect of elasticity, the nonlocal heat conduction plays an important role in analyzing the thermal-mechanical behaviors of the FG nanostructures.
机译：在这项工作中，基于非局部热弹性理论研究了对轴向功能梯度（AFG）纳米束的屈曲响应的热效应。同时考虑了弹性变形和热传导的尺寸效应。沿着AFG纳米束的纵向方向的温度的不均匀分布被考虑并且由非局部导热定律确定。借助正弦剪切变形理论和非局部热弹性理论中的变分原理，得出了运动方程和相应的边界条件。使用Ritz方法获得了具有各种边界条件的AFG纳米束的热屈曲响应的解。数值结果表明了AFG指数的重要性，弹性和热传导的非局部参数以及横向剪切变形对屈曲行为的影响。发现，除了弹性的非局部效应之外，非局部热传导在分析FG纳米结构的热机械行为中也起重要作用。

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  • 来源
    《Journal of thermal stresses》 |2019年第6期|526-539|共14页
  • 作者

    Lei Jian; He Yuming; Li Zhenkun; Guo Song; Liu Dabiao;

  • 作者单位

    Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China|Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China|Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China|Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China|Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China|Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan, Hubei, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Axially functionally graded materials; nanobeams; nonlocal thermoelasticity; thermal buckling;

    机译：轴向功能梯度材料;纳米纤维;非局部热弹性;热屈曲;

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