Nonlocal thermoelastic vibration of a solid medium subjected to a pulsed heat flux via Caputo–Fabrizio fractional derivative heat conduction

Abouelregal A. E., AKGÖZ B., CİVALEK Ö.

Applied Physics A: Materials Science and Processing, vol.128, no.8, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 128 Issue: 8
  • Publication Date: 2022
  • Doi Number: 10.1007/s00339-022-05786-5
  • Journal Name: Applied Physics A: Materials Science and Processing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Chimica, Communication Abstracts, Compendex, INSPEC, Metadex
  • Keywords: Caputo–Fabrizio fractional derivative, Nonlocal elasticity, Pulse heat flux, Semi-infinite solid
  • Akdeniz University Affiliated: Yes

Abstract

© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.An advanced model is developed to analyze the thermoelastic vibrations of a nonlocal isotropic solid medium subjected to a pulsed heat flux using Caputo–Fabrizio fractional derivative heat conduction. The mathematical model of an infinite isotropic and homogeneous medium is obtained by applying nonlocal elasticity theory and fractional calculus using single kernels with generalized thermoelasticity. The Laplace transform technique is employed to numerically solve the fundamental equations under the corresponding boundary conditions of the problem. A detailed parametric study is performed to examine the effects of increasing laser pulse duration as well as fractional and nonlocal order coefficients on thermoelastic waves of the medium. It can be emphasized that the higher temperature will reduce the thermal conductivity. It is also notable that some special cases and previous thermoelastic models can be reduced from the present model.