Articles with "dependent derivative" as a keyword



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On the spatial behavior of thermal signals in generalized thermoelasticity with memory-dependent derivative

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Published in 2020 at "Acta Mechanica"

DOI: 10.1007/s00707-020-02687-7

Abstract: In this article, a novel mathematical model is theoretically developed by incorporating a memory-dependent derivative (MDD) into the temperature-rate-dependent thermoelasticity theory (Green–Lindsay) on three mathematical aspects in order to study the spatial behavior of the… read more here.

Keywords: spatial behavior; memory dependent; dependent derivative; thermal signals ... See more keywords
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The transient response of a functionally graded half-space heated by a laser pulse based on the generalized thermoelasticity with memory-dependent derivative

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Published in 2020 at "Mechanics of Advanced Materials and Structures"

DOI: 10.1080/15376494.2020.1731888

Abstract: AbstractBased on the generalized thermoelasticity with memory-dependent derivative, the transient response of a half-space heated by a non-Gaussian laser beam on its boundary is investigated. The c... read more here.

Keywords: memory dependent; thermoelasticity memory; transient response; dependent derivative ... See more keywords
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A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source

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Published in 2020 at "Waves in Random and Complex Media"

DOI: 10.1080/17455030.2018.1490043

Abstract: ABSTRACT In the generalized thermoelasticity with nonlocal effect and memory-dependent derivative, the dynamic response of a finite thermoelastic rod fixed at both ends and subjected to a moving heat source is investigated. The corresponding governing… read more here.

Keywords: memory dependent; nonlocal effect; dependent derivative; subjected moving ... See more keywords
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Memory dependent derivative effect on generalized piezo-thermoelastic medium under three theories

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Published in 2020 at "Waves in Random and Complex Media"

DOI: 10.1080/17455030.2020.1730480

Abstract: In this paper, a general solution for the propagation of plane waves in the generalized piezo-thermoelastic medium for the two-dimensional problem under the different thermoelastic theories is inve... read more here.

Keywords: generalized piezo; thermoelastic medium; memory dependent; piezo thermoelastic ... See more keywords
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Generalized Thermopiezoelectricity with Memory-Dependent Derivative and Transient Thermoelectromechanical Responses Analysis

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Published in 2021 at "Advances in Materials Science and Engineering"

DOI: 10.1155/2021/5809716

Abstract: In this paper, a novel generalized thermoelastopiezoelectric model is established by introducing memory-dependent derivative, which might be superior to fractional ones: the form is unique, while the fractional-order theories have various expressions with different authors;… read more here.

Keywords: memory dependent; analysis; dependent derivative; generalized thermopiezoelectricity ... See more keywords
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Thermoelectric viscoelastic materials with memory-dependent derivative

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Published in 2017 at "Smart Structures and Systems"

DOI: 10.12989/sss.2017.19.5.539

Abstract: A mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction with memory-dependent derivative. The governing coupled equations with time-delay and kernel function, which can be chosen freely… read more here.

Keywords: viscoelastic materials; memory dependent; materials memory; thermoelectric viscoelastic ... See more keywords