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Keywords: Memory-dependent derivative
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Journal Articles
Multidiscipline Modeling in Materials and Structures (2024) 20 (6): 1284–1306.
Published: 01 October 2024
...-temperatures and Riesz space-fractional operators via memory-dependent derivatives has been established to analyze the effects of thermal stress and displacement in a finite rod. The model takes into account the continuous distribution of heat sources over a finite portion of the rod and their time variation...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2024) 20 (5): 761–783.
Published: 24 June 2024
... graphically. Design/methodology/approach The theory of integral transformations has been used to study a new hygrothermal model that includes higher-order time derivatives with three-phase-lags and memory-dependent derivatives (MDD). This model considers the microscopic structure’s influence on a non...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2023) 19 (3): 464–492.
Published: 15 March 2023
... with memory-dependent derivatives is employed to study the variation of energy ratios at the imperfect interface. Findings A plane longitudinal wave (P) or transversal wave (SV) propagates through EHS and strikes at the interface. As a result, two waves are reflected, and four waves are transmitted...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2022) 18 (5): 793–807.
Published: 08 September 2022
...Samia M. Said; Mohamed I.A. Othman; Mohamed G. Eldemerdash Purpose In the present article, the three-phase-lag (3PHL) model and the Green-Naghdi theory of types II, III with memory-dependent derivative is used to study the effect of rotation on a nonlocal porous thermoelastic medium. Design...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2022) 18 (2): 339–350.
Published: 29 March 2022
.... Originality/value The problem is solved based on the classical-coupled theory, the Lord–Shulman theory, and the Green–Lindsay theory with memory-dependent derivative (MDD). Samia M. Said can be contacted at: samia_said59@yahoo.com 23 01 2022 03 03 2022 11 03 2022 14 03 2022...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2020) 16 (6): 1337–1356.
Published: 20 May 2020
...Biswajit Singh; Smita Pal (Sarkar); Krishnendu Barman Purpose This study aims to attempt to construct a new mathematical model of the generalized thermoelasiticity theory based on the memory-dependent derivative (MDD) considering three-phase-lag effects. The governing equations of the problem...
Journal Articles
Multidiscipline Modeling in Materials and Structures (2020) 16 (4): 657–677.
Published: 17 December 2019
...Siddhartha Biswas 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...

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