Theory of Generalized Thermoelasticity with Memory-Dependent Derivatives
Publication: Journal of Engineering Mechanics
Volume 145, Issue 3
Abstract
This paper theoretically demonstrates two aspects of a generalized heat conduction model with memory-dependent derivatives. The characteristics of transient effects in an isotropic, thermoelastic medium were analyzed in terms of memory-dependent thermoelasticity theory. The Lord–Shulman (LS) model gives an upper bound of thermal disturbances in a memory-dependent generalized thermoelasticity model. For numerical implementation, a one-dimensional semi-infinite medium with one end subjected to a transient load was considered. An integral transform method and, while in inverse transformation, an efficient and pragmatic numerical inverse Laplace transform (NILT) were adopted. Parameter studies were performed to evaluate the effect of the kernel function and time delay. An appropriate Lyapunov function, which is a significant scheme to study numerous qualitative properties, is proposed.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 3 • March 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Apr 24, 2018
Accepted: Aug 22, 2018
Published online: Jan 3, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 3, 2019
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