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Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature
K. Lotfy,
Published in Springer Netherlands
Volume: 21
Issue: 4
Pages: 519 - 534
In this work, a novel generalized model of photothermal theory with two-temperature thermoelasticity theory based on memory-dependent derivative (MDD) theory is performed. A one-dimensional problem for an elastic semiconductor material with isotropic and homogeneous properties has been considered. The problem is solved with a new model (MDD) under the influence of a mechanical force with a photothermal excitation. The Laplace transform technique is used to remove the time-dependent terms in the governing equations. Moreover, the general solutions of some physical fields are obtained. The surface taken into consideration is free of traction and subjected to a time-dependent thermal shock. The numerical Laplace inversion is used to obtain the numerical results of the physical quantities of the problem. Finally, the obtained results are presented and discussed graphically. © 2017, Springer Science+Business Media Dordrecht.
About the journal
JournalData powered by TypesetMechanics of Time-Dependent Materials
PublisherData powered by TypesetSpringer Netherlands