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Published in 2018 at "Microsystem Technologies"
DOI: 10.1007/s00542-018-4194-6
Abstract: A new mathematical model of generalized magneto-thermo-viscoelasticity theories with memory-dependent derivatives (MDD) of dual-phase-lag heat conduction law is developed. The equations for one-dimensional problems including heat sources are cast into matrix form using the state… read more here.
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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.
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Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01664-8
Abstract: The Lord–Shulman theory of generalized thermoelasticity based on a memory-dependent derivative is employed to study the thermoelastic response in a three-dimensional elastic half-space medium whose free surface is assumed to be traction-free and subjected to… read more here.
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Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113494
Abstract: Abstract We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements for both visco- elastic/plastic parts. The constitutive equations are obtained through Helmholtz free-energy potentials… read more here.
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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.
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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.
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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.
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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.
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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.