Fractional viscoelastic Voigt’s model for initially stressed microbeams induced by ultrashort laser heat source

DOI10.1080/17455030.2018.1554927zbMath1504.74010OpenAlexW2910591108MaRDI QIDQ5867272

Ashraf M. Zenkour, Ahmed E. Abouelregal

Publication date: 13 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1554927

zbMATH Keywords

Laplace transforminitial stressfractional derivativeKelvin-Voigt microbeam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Applications of fractional calculus in solid mechanics (74S40)

Related Items (3)

Thermoelastic vibrations in initially stressed rotating microbeams caused by laser irradiation ⋮ Heating process analysis for microplate subjected to moving laser pulse source ⋮ Response of thermoelastic cylindrical cavity in a non-local infinite medium due to a varying heat source

Cites Work

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• A refined nonlocal thermoelasticity theory for the vibration of nanobeams induced by ramp-type heating
• Transverse vibrations in micro-scale viscothermoelastic beam resonators
• Thermoelasticity
• Damping described by fading memory -- analysis and application to fractional derivative models
• Hot-electron blast induced by ultrashort-pulsed lasers in layered media
• Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams
• A novel generalized thermoelasticity model based on memory-dependent derivative
• Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
• Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin-Voigt viscoelastic nanoplate and two piezoelectric layers
• Nonlocal piezo-hygrothermal analysis for vibration characteristics of a piezoelectric Kelvin-Voigt viscoelastic nanoplate embedded in a viscoelastic medium
• A generalized dynamical theory of thermoelasticity
• EFFECTS OF PHASE-LAGS AND VARIABLE THERMAL CONDUCTIVITY IN A THERMOVISCOELASTIC SOLID WITH A CYLINDRICAL CAVITY
• VIBRATION OF INITIALLY STRESSED MICRO- AND NANO-BEAMS
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• On the Fractional Calculus Model of Viscoelastic Behavior
• Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory

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