Modeling of memory-dependent derivatives with the state-space approach
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 17 December 2019
Issue publication date: 15 June 2020
Abstract
Purpose
The purpose of this paper is to deal with a new generalized model of thermoelasticity theory with memory-dependent derivatives (MDD).
Design/methodology/approach
The two-dimensional equations of generalized thermoelasticity with MDD are solved using a state-space approach. The numerical inversion method is employed for the inversion of Laplace and Fourier transforms.
Findings
The solutions are presented graphically for different values of time delay and kernel function.
Originality/value
The governing coupled equations of the new generalized thermoelasticity with time delay and kernel function, which can be chosen freely according to the necessity of applications, are applied to a two-dimensional problem of an isotropic plate.
Keywords
Acknowledgements
There is no conflict of interests.
Citation
Biswas, S. (2020), "Modeling of memory-dependent derivatives with the state-space approach", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 4, pp. 657-677. https://doi.org/10.1108/MMMS-06-2019-0120
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited