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Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Mohamed I. M. Hilal

2021ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik16 citationsDOI

Abstract

Abstract Rotation of a linear and homogenous microelongated thermoelastic medium with a uniform angular velocity are discussed in the present paper. The studied problem was considered as a perfecting conducting medium which irradiated by a non‐gaussian laser beam. The nonlocal thermoelasticity theory was motivated to discuss the model with the energy dissipation in Green‐Naghdi type III. Fourier and Laplace transforms are used to obtain the solution of the problem and get the considered physical quantities. The comparisons were computed numerically and represented graphically with different cases. The obtained results are applicable in many fields as earthquake engineering, nuclear physics, and manufacturing. It is found that the obtained results are significant.

Topics & Concepts

Thermoelastic dampingDissipationLaplace transformRotation (mathematics)Fourier transformPulse (music)GaussianPhysicsClassical mechanicsMathematicsMathematical analysisMechanicsOpticsThermalGeometryThermodynamicsQuantum mechanicsDetectorThermoelastic and Magnetoelastic PhenomenaNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineering
Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory | Litcius