Magnetothermoelastic vibrations on a viscoelastic microbeam subjected to a laser heat source

• Autorzy: Abouelregal A. E. , Zenkour A. M.

Identyfikatory

DOI

10.24423/aom.3597

• Języki publikacji: EN

Abstrakty

EN

The linear theory of viscoelasticity remains an important field of research like most solids and polymer materials when exposed to a vicious dynamic loading effect. This article introduces a new model for describing the behavior of thermoviscoelastic microbeams considering the effects of temperature change and the longitudinal magnetic field. The governing equations in this model are derived based on the Euler–Bernoulli beam theory, Kelvin–Voigt model of viscosity, the generalized thermoelasticity, and the classical Maxwell equations. The two ends of the microbeam are clamped and subjected to the influence of a laser pulse with a temporal intensity profile. The analytical solutions to the physical fields are evaluated using the Laplace transform and its inversion transforms are performed numerically. The thermo-viscoelastic responses of the microbeam are calculated numerically and investigated graphically. The effect of different parameters such as viscosity, laser intensity, and the magnitude of the magnetic field are studied in detail.

Słowa kluczowe

EN

thermoviscoelasticity; microbeams; laser pulse; magnetic field

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2021
• Tom: Vol. 73, nr 1
• Strony: 3--26
• Opis fizyczny: Bibliogr. 62 poz., rys. kolor.

Twórcy

autor

Abouelregal A. E.

• Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia
• Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

autor

Zenkour A. M.

• Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).