Laser-induced wave reflection in nonlocal rotating two-temperature thermoelastic solids with variable thermal conductivity
摘要
A generalized analytical model is developed to study laser-induced plane-wave reflection in a rotating, nonlocal two-temperature thermoelastic solid with variable thermal conductivity. The model is based on the Lord–Shulman generalized thermoelasticity theory, which has been extended to account for temperature-dependent heat conduction and a pulsed laser heat source. The governing equations for displacement, temperature, and heat flux incorporate nonlocal elasticity, rotation, and two-temperature coupling. Thermal conductivity is assumed to vary linearly with temperature, adding nonlinearities to heat transfer. These coupled equations are solved analytically for plane-wave propagation, and the reflection coefficients for quasi-longitudinal (P), quasi-shear (SV), and thermal (T) waves are calculated using appropriate boundary conditions at the stress-free surface. The effects of variable thermal conductivity, laser intensity, and nonlocal parameters on phase velocity, attenuation, energy loss, and reflection are numerically examined for an aluminum-like medium. Results show that variable thermal conductivity enhances thermal dispersion and alters wave attenuation, while laser excitation causes localized heating and increases energy dissipation at high frequencies. The thermal conductivity parameter and laser pulse significantly influence reflection characteristics, demonstrating strong interactions among mechanical, thermal, and optical fields in such advanced materials. This study offers a generalized framework for understanding laser-induced thermoelastic wave phenomena in rotating, nonlocal solids, with potential applications in photothermal material characterization, semiconductor processing, and non-destructive testing.