Modeling and analysis of vibration of a gold nano-beam under two-temperature theor

Mondal, Sudip; Sur, Abhik; Kanoria, M.

doi:10.5267/j.esm.2016.10.003

Cited by 11 publications

(2 citation statements)

References 34 publications

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“…When it comes to the notion of two temperatures (2TT), Quintanilla [47] explored resolution potential, structural stability, and spatial behaviors. The linearized form of the 2TT theory has been examined by several researchers [48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels

Abouelregal

2022

Arch Appl Mech

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In this research, two alternative approaches to fractional derivatives, namely Caputo–Fabrizio (CF) and Atangana–Baleanu (AB) fractional operators, are used to propose a generalized model of thermoelastic heat transfer of a rigid cylinder with thermal characteristics. The proposed model can be constructed by combining the DPL model with phase delays and the two temperature theories. It will be taken into account that the solid cylinder has variable physical properties. It was also assumed that the surface of the cylinder is penetrated by a continuous magnetic field and is regularly exposed to thermal loading from a continuous heat source. The numerical solutions of the studied physical fields in the AB and CF fractional derivative cases were derived using the Laplace transform method and are compared visually and tabularly and discussed in detail.

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Section: Introductionmentioning

confidence: 99%

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels

Abouelregal

2022

Arch Appl Mech

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“…As a result, modified theories for nanoscale structures are not the same as those of microscale structures [16–18]. Scale‐dependent elasticity theories such as the nonlocal are commonly used for nanostructures while the mechanics of micro‐structures is described via couple stress and strain gradient theories in the kinds of literature [19–23].…”

Section: Introductionmentioning

confidence: 99%

The Caputo‐Fabrizio heat transport law in vibration analysis of a microscale beam induced by laser

Sur

Mondal²

2020

Z Angew Math Mech

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In the application of pulsed laser heating, such as laser hardening of metallic surfaces, conduction limited process is the dominant mechanism during the laser–workpiece interaction. As a consequence, time unsteady analysis of this problem becomes necessary. The present study examines the effect of ultra‐short‐pulsed laser heating in coupled thermoelastic vibration of a microscale beam resonator. The heat transport equation for the current problem is defined by incorporating the three‐phase‐lag heat transport law in the context of Caputo‐Fabrizio (CF) derivative. Finite sinusoidal Fourier and Laplace transform techniques have been employed to determine the lateral vibration of the beam and the temperature increment within the microscale beam. According to the graphical representations corresponding to the numerical results, conclusions about the new theory is constructed. Excellent predictive capability is demonstrated due to the presence of energy absorption depth and the order of CF derivative also.

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A thermodynamic two-temperature model with distinct fractional derivative operators for an infinite body with a cylindrical cavity and varying properties

Abouelregal

Nofal

Alsharari

2022

Journal of Ocean Engineering and Science

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Modeling and analysis of vibration of a gold nano-beam under two-temperature theor

Cited by 11 publications

References 34 publications

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels

The Caputo‐Fabrizio heat transport law in vibration analysis of a microscale beam induced by laser

A thermodynamic two-temperature model with distinct fractional derivative operators for an infinite body with a cylindrical cavity and varying properties

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