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Stochastic thermal shock problem in generalized thermoelasticity

机译：广义热弹性中的随机热冲击问题

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摘要

In this work, we consider the problem of a half space in the context of the theory of generalized thermoelasticity with one relaxation time. Realistically, the boundary conditions of the problem are considered to be stochastic. Laplace transform technique is used to solve the problem. The boundary conditions are considered to be of a type white noise. The inverse transforms are obtained in an approximate manner using asymptotic expansions valid for small values of time. Numerical results are given and represented graphically. Finally, a comparison with the ideal case when the boundary conditions are deterministic is carried out.
机译：在这项工作中，我们在具有一个松弛时间的广义热弹性理论的背景下考虑了半空间问题。实际上，问题的边界条件被认为是随机的。拉普拉斯变换技术用于解决该问题。边界条件被认为是白噪声类型。使用对小时间值有效的渐近展开，以近似方式获得逆变换。给出数值结果并以图形方式表示。最后，与确定边界条件的理想情况进行了比较。

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  • 来源
    《Applied Mathematical Modelling》 |2013年第3期|762-775|共14页
  • 作者

    Hany H. Sherief; Nasser M. El-Maghraby; Allam A. Allam;

  • 作者单位

    Department of Mathematics, Faculty of Science. University of Alexandria, Alexandria, Egypt;

    Department of Basic and Applied Science, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, P.O. BOX 1029,Abu Quir Campus, Alexandria, Egypt;

    Department of Basic and Applied Science, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, P.O. BOX 1029,Abu Quir Campus, Alexandria, Egypt;

  • 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

    generalized thermoelasticity; half-space; stochastic simulation; white noise;

    机译：广义热弹性一半的空间;随机模拟白噪声;

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