Thermal plane waves in unbounded non-local medium exposed to a moving heat source with a non-singular kernel and higher order time derivatives

Abouelregal, Ahmed E.; Rayan, Alanazi; Sedighi, Hamid M.

doi:10.1016/j.enganabound.2022.04.032

Cited by 14 publications

(6 citation statements)

References 61 publications

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“…In Refs. [38][39][40], Green-Naghdi thermoelasticity was studied, and its generalizations to fractional dimensions were examined. Abouelregal et al [41][42][43] analyzed viscoelastic materials within the context of fractional-order heat transport.…”

Section: Introductionmentioning

confidence: 99%

A non‐local fractional two‐phase delay thermoelastic model for a solid half‐space whose properties change with temperature and affected by hydrostatic pressure

Abouelregal,

Marin,

Askar

et al. 2024

Z Angew Math Mech

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This article discusses changes in heat transfer resulting from laser pulses and magnetic fields produced in thermoelastic materials under initial stress. This paper introduces a novel approach to modeling generalized thermoelastic materials by including fractional time derivatives with Eringen's non‐local thermoelastic theory. This model incorporates both the Caputo–Fabrizio and the Atangana–Baleanu derivatives, which are novel forms of fractional derivatives in the domain of fractional calculus. Analytical formulations for system variables, such as temperature and thermal stress, were derived using the Laplace transform method. This was done considering the effects of laser pulses, non‐local actuators, and fractional actuators. The findings of these investigations are showcased through numerical illustrations and visual representations. The research also included comparisons between the acquired results and those derived from earlier theories, which may be regarded as a specific instance. Validating the suggested model and showing its correctness and applicability is seen as a crucial step.

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Section: Introductionmentioning

confidence: 99%

A non‐local fractional two‐phase delay thermoelastic model for a solid half‐space whose properties change with temperature and affected by hydrostatic pressure

Abouelregal,

Marin,

Askar

et al. 2024

Z Angew Math Mech

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“…Relevant information may be found in the review papers written by Chandrasekharaiah [22]. Recent research conducted by Abouelregal [23][24][25] investigates the possibility of modifying the traditional Fourier law by employing the time derivative of a higher order. A novel thermoelastic heat transport model developed by Quintanilla [26] and introduced via the Moore-Gibson-Thompson (MGT) equation has been created.…”

Section: Introductionmentioning

confidence: 99%

Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory

2023

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This article offers the first investigation into the thermoelectric vibration of microscale Euler‐Bernoulli beams resting on an elastic Winkler base. We developed the system of equations for thermoelastic microbeams using elastic basis theory and the generalized Moore–Gibson–Thompson (MGT) thermal transport framework with a single‐phase delay. At the front of the microbeam, a graphene strip connected to an electrical power source was employed to generate heat. In addition, the influence of an ultra‐short‐pulsed laser on the vibration of a microbeam is studied, taking into account its heating effect. The microbeam system variables were analyzed after solving the mathematical equations by applying the Laplace transform technique. Graphs showing how different inputs affect different mechanical fields, such as Winkler substrate stiffness, voltage, electrical resistance, and temperature modulus pulses, are also presented. An increase in the Winkler modulus and the shear modulus of the foundation was found to decrease the amount of deflection and axial deformation in the microbeams. The increased beam stiffness has resulted in this decrease.

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“…In addition, ferroelectric composites are inherently anisotropic and exhibit correlated behaviors between the interactions of mechanical, electrical, and electromagnetic interactions. A number of researchers have taken advantage of the generalized theories of thermoelasticity in order to investigate some issues related to the motion of waves through magneto-thermoelastic and thermoelastic materials [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

The theory of thermoelasticity with a memory-dependent dynamic response for a thermo-piezoelectric functionally graded rotating rod

askar,

Marin,

Abouelregal

et al. 2023

Preprint

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By laminating piezoelectric and flexible materials during the manufacturing process, we can improve the performance of electronic devices. In smart structure design, it is also important to understand how the functionally graded piezoelectric (FGP) structure changes over time when thermoelasticity is assumed. This is because these structures are often exposed to both moving and still heat sources during many manufacturing processes. Therefore, the electrical and mechanical properties of layered piezoelectric materials that are subjected to electromechanical loads and heat sources must be both analyzed theoretically and practically.Classical thermoelasticity cannot solve the problem of the infinite speed of heat wave propagation, so extended thermoelasticity models are proposed. In this paper, the Lord-Shulman theory with the idea of a memory-dependent derivative (MDD) was used to investigate how a moving axial heat source affects the thermomechanical sensitivity of a FGP rod.The physical characteristics of the FG rod are supposed to change exponentially when travelling in the direction of the rod axis. It is further assumed that the rod is held at both ends and that there is no voltage across them.Laplace transform procedures were used to obtain the physical fields being analyzed. A combination of measures of heterogeneity, kernel functions, time delays, and heat source velocities was used to make comparisons between the results discussed and those in previous literature.It was found that a higher value of the inhomogeneity index reduces the dynamic behavior to axial displacement, temperature change, and electric potential.

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Thermal plane waves in unbounded non-local medium exposed to a moving heat source with a non-singular kernel and higher order time derivatives

Cited by 14 publications

References 61 publications

A non‐local fractional two‐phase delay thermoelastic model for a solid half‐space whose properties change with temperature and affected by hydrostatic pressure

A non‐local fractional two‐phase delay thermoelastic model for a solid half‐space whose properties change with temperature and affected by hydrostatic pressure

Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory

The theory of thermoelasticity with a memory-dependent dynamic response for a thermo-piezoelectric functionally graded rotating rod

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