On dual-phase-lag magneto-thermo-viscoelasticity theory with memory-dependent derivative
| Autor: | Dalia A. Aldawody, Mohamed H. Hendy, Magdy A. Ezzat |
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| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Physics Laplace transform Plane (geometry) 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics Thermal conduction 01 natural sciences Displacement (vector) Viscoelasticity Electronic Optical and Magnetic Materials Heat flux Hardware and Architecture Electric field 0103 physical sciences Heat transfer Electrical and Electronic Engineering 0210 nano-technology |
| Zdroj: | Microsystem Technologies. 25:2915-2929 |
| ISSN: | 1432-1858 0946-7076 |
| DOI: | 10.1007/s00542-018-4194-6 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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