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首页> 外文期刊>Journal of thermal stresses >NONLOCAL THERMOELASTICITY THEORY FOR THERMAL-SHOCK NANOBEAMS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
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NONLOCAL THERMOELASTICITY THEORY FOR THERMAL-SHOCK NANOBEAMS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

机译:具有温度依赖性热传导的热冲击纳米颗粒的非局部热弹性理论

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摘要

In this work, a model of nonlocal generalized thermoelasticity with one thermal relaxation time is used to consider the vibration behavior of an Euler-Bernoulli (E-B) nanobeam. The thermal conductivity of the nanobeam is assumed to be temperature-dependent. The nonlocality brings in an internal length scale in the formulation and, thus, allows for the interpretation of size effects. The governing partial differential equations are solved in the Laplace transform domain by adopting the state-space approach of modern control theory. The inverse of Laplace transforms are numerically computed using Fourier expansion techniques. The distributions of the lateral vibration, the temperature, the axial displacement and the bending moment of the nanobeam are determined. The effect of thickness and variability of thermal conductivity, as well as the influence of the nonlocal parameter are investigated.
机译:在这项工作中,使用具有一个热弛豫时间的非局部广义热弹性模型来考虑Euler-Bernoulli(E-B)纳米束的振动行为。假设纳米束的热导率与温度有关。非局部性在配方中引入了内部长度比例,因此可以解释尺寸效应。通过采用现代控制理论的状态空间方法,在Laplace变换域中求解了控制偏微分方程。拉普拉斯变换的逆使用傅立叶展开技术进行数值计算。确定横向振动的分布,温度,轴向位移和纳米束的弯矩。研究了厚度和导热系数变化的影响,以及非局部参数的影响。

著录项

  • 来源
    《Journal of thermal stresses》 |2015年第9期|1049-1067|共19页
  • 作者单位

    King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21413, Saudi Arabia|Kafrelsheikh Univ, Fac Sci, Dept Math, Kafr Al Sheikh, Egypt;

    Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt;

    King Abdulaziz Univ, Dept Mech Engn, Jeddah 21413, Saudi Arabia;

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu, Peoples R China;

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu, Peoples R China|Aristotle Univ Thessaloniki, Polytech Sch, Lab Mech & Mat, GR-54006 Thessaloniki, Greece|Michigan Technol Univ, Houghton, MI 49931 USA|ITMO Univ, St Petersburg, Russia;

  • 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

    Euler-Bernoulli nanobeam; Nonlocal thermoelasticity; State space approach; Variable thermal conductivity;

    机译:Euler-Bernoulli纳米束;非局部热弹性;状态空间法;可变导热系数;

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