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Thermoelastic Analysis of a Rotating Half-Space with Temperature-Dependent Properties Under Laser Pulse Heating using Green–Naghdi Type II and Type III Models
Alzaerah R. M. Aldeeb1,
Mohamed I. A. Othman2,*
1Department of Mathematics, faculty of education Alzawia
University,Libya
2Department of Mathematics,
Faculty of Science, Zagazig University, 44519, Zagazig, Egypt
Email:a.aldeeb@zu.edu.ly,_78 @yahoo.com, *m_i_a_othman@yahoo.com
https://orcid.org/0009-0007-5338-7156 .. ORCID
Abstract:
This study presents a
theoretical investigation of generalized thermoelastic wave propagation in a
rotating isotropic half-space subjected to ultra-short laser pulse heating,
considering temperature-dependent material properties. The mathematical model
is formulated within the framework of the Green–Naghdi (GN) theories of Type II
and Type III. The governing equations are solved analytically using the normal
mode method to obtain closed-form solutions for the temperature distribution, displacement
components, and stress fields. Numerical simulations are performed, and the
resulting thermoelastic fields are illustrated graphically to evaluate the
influences of rotation, temperature-dependent properties, and laser pulse
characteristics. A comparative analysis between the GN-II and GN-III models is
carried out to highlight the differences between non-dissipative thermal wave
propagation and thermally dissipative behavior. Furthermore, the thermoelastic
response is examined at two different time instants to demonstrate the combined
effects of laser pulse heating, rotational motion, and variable material
properties on wave propagation and stress distribution. The results provide
valuable insights into the thermoelastic behavior of rotating media exposed to
laser irradiation and contribute to the understanding of heat-induced
mechanical responses in advanced engineering materials.
Keywords: Generalized thermoelasticity,
Green-Naghdi theory, Rotation, Laser pulse, Temperature-dependent properties, Normal
mode analysis.