A novel magneto-thermoelasticity theory with memory-dependent derivative

作者：Ezzat Magdy A^*; El Karamany Ahmed S; El Bary Alaa A

来源：Journal of Electromagnetic Waves and Applications, 2015, 29(8): 1018-1031.

DOI：10.1080/09205071.2015.1027795

• memory-dependent derivative
• time-delay
• Laplace transforms
• kernel function
• Fourier's Law
• magneto-thermoelasticity theory

In this work, a new model of magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with memory-dependent derivative. One-dimensional application for a perfect electrically conducting half-space of elastic material, which is thermally shocked, in the presence of a constant magnetic field has been solved by using Laplace transform technique. According to the numerical results and its graphs, conclusion about the new theory of magneto-thermoelasticity has been constructed and compared with dynamic classical coupled theory.

• 出版日期2015-5-24