Steel and Composite Structures

  • 제25권2호
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  • Pages.177-186
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  • 2017
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A functionally graded magneto-thermoelastic half space with memory-dependent derivatives heat transfer

  • Ezzat, Magdy A. (Department of Mathematics, Faculty of Education, Alexandria University) ;
  • El-Bary, Alaa A. (Arab Academy for Science and Technology)
  • 투고 : 2017.05.10
  • 심사 : 2017.06.29
  • 발행 : 2017.10.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this work, the model of magneto-thermoelasticity based on memory-dependent derivative (MDD) is applied to a one-dimensional thermal shock problem for a functionally graded half-space whose surface is assumed to be traction free and subjected to an arbitrary thermal loading. The $Lam{\acute{e}}^{\prime}s$ modulii are taken as functions of the vertical distance from the surface of thermoelastic perfect conducting medium in the presence of a uniform magnetic field. Laplace transform and the perturbation techniques are used to derive the solution in the Laplace transform domain. A numerical method is employed for the inversion of the Laplace transforms. The effects of the time-delay on the temperature, stress and displacement distribution for different linear forms of Kernel functions are discussed. Numerical results are represented graphically and discussed.

키워드

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