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Thermoelastic responses of a nonlocal elastic rod due to nonlocal heat conduction
Published in Wiley-VCH Verlag
2020
Volume: 100
   
Issue: 4
Abstract
This is an attempt to design a dynamic model of nonlocal heat conduction in a nonlocal elastic bounded rod. This model is drafted using the Lord-Shulman theory of generalized thermoelasticity due to the involvement of one relaxation time to the heat conduction equation and the equation of motion. This model is then employed to discuss the thermal behavior of the rod when subjected to a moving heat source. Both ends of the rod are assumed to be rigidly fixed and thermally insulated. Analytical solutions for the distribution of temperature, displacement and thermal stresses are obtained using integral transform in the Laplace transform technique is used to obtain the analytical solutions for the field variables such as temperature, displacement and stress. The inverse Laplace transform based on the Zakian method is used to invert the results in the space-time domain. Specific attention is paid to study the effect of thermal nonlocal parameter and the velocity of the moving heat source on the distribution of the field variables. © 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
About the journal
JournalData powered by TypesetZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
PublisherData powered by TypesetWiley-VCH Verlag
ISSN00442267