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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…
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Keywords:
spatial behavior;
memory dependent;
dependent derivative;
thermal signals ... See more keywords
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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...
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Keywords:
memory dependent;
thermoelasticity memory;
transient response;
dependent derivative ... See more keywords
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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…
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Keywords:
memory dependent;
nonlocal effect;
dependent derivative;
subjected moving ... See more keywords
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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...
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Keywords:
generalized piezo;
thermoelastic medium;
memory dependent;
piezo thermoelastic ... See more keywords
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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;…
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Keywords:
memory dependent;
analysis;
dependent derivative;
generalized thermopiezoelectricity ... See more keywords
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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…
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Keywords:
viscoelastic materials;
memory dependent;
materials memory;
thermoelectric viscoelastic ... See more keywords