On dual-phase-lag magneto-thermo-viscoelasticity theory with memory-dependent derivative

被引：0
作者：
Dalia A. Aldawody
Mohamed H. Hendy
Magdy A. Ezzat
机构：
[1] Northern Border University,Department of Mathematics, Faculty of Science
[2] Port Said University,Department of Mathematics, Faculty of Science
[3] Al Arish University,Department of Mathematics, Faculty of Science
[4] Alexandria University,Department of Mathematic, Faculty of Education
来源：
Microsystem Technologies | 2019年 / 25卷
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摘要：
A new mathematical model of generalized magneto-thermo-viscoelasticity theories with memory-dependent derivatives (MDD) of dual-phase-lag heat conduction law is developed. The equations for one-dimensional problems including heat sources are cast into matrix form using the state space and Laplace transform techniques. The resulting formulation is applied to a problem for the whole space with a plane distribution of heat sources. It is also applied to a perfect conducting semi-space problem with a traction-free surface and plane distribution of heat sources located inside the medium. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the temperature, displacement, stress and heat flux distributions as well as the induced magnetic and electric fields are given and illustrated graphically. A comparison is made with the results obtained in the coupled theory. The impacts of the MDD heat transfer parameter and Alfven velocity on a viscoelastic material, for example, poly (methyl methacrylate) (Perspex) are discussed.
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页码：2915 / 2929
页数：14
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