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Application of fractional order theory of thermoelasticity to a bilayered structure with interfacial conditions

机译:热弹性分数阶理论在界面条件下的双层结构中的应用

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摘要

In thiswork, fractional order theory of thermoelasticity is applied to a bilayered structure being in imperfect thermal and mechanical contact. The model is subjected to a sudden heating at the traction-free end, assumed to be undisturbed at infinity. The heat conduction in each medium is described by the time-fractional heat conduction equations with two fractional order parameters, respectively. An analytical technique based on Laplace transform is adopted. Numerical results are computed and represented graphically, from which the e ects of fractional derivative parameters of both media, ther mal contact resistance, elastic wave impedance ratio on the responses are discussed.
机译:在这项工作中,热弹性的分数阶理论被应用于具有不完美的热和机械接触的双层结构。该模型在无牵引力的一端突然受到加热,假定在无限远处不受干扰。每种介质中的热传导分别由具有两个分数阶参数的时间分数热传导方程式描述。采用基于拉普拉斯变换的分析技术。计算结果并以图形方式表示,讨论了两种介质的分数导数参数,热接触电阻,弹性波阻抗比对响应的影响。

著录项

  • 来源
    《Journal of thermal stresses》 |2016年第9期|1017-1034|共18页
  • 作者单位

    Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China;

    Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China;

    Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China;

    Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, 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

    Fractional calculus; interfacial conditions; numerical Laplace inversion; thermoelasticity;

    机译:小数演算;界面条件;拉普拉斯数值反演;热弹性;

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