Advanced thermoelastic analysis of materials with voids using Caputo-tempered fractional derivatives in the dual-phase lag framework

Abstract

Thermoelastic materials with voids play a crucial role in aerospace, civil engineering, and material science applications. Traditional models often fall short in capturing their time-dependent effects and dynamic interactions. This study presents a new generalized thermoelasticity theory based on the dual-phase lag (DPL) model, incorporating Caputo-tempered (CT) fractional derivatives. These derivatives enhance the accuracy of thermomechanical responses under complex thermal loads, such as non-Gaussian laser beams. Analytical solutions were developed for temperature, displacement, stress, and volume fraction fields. The results demonstrate the influence of time, thermal phase lags, and fractional parameters on material behavior. Comparative analyses highlight the significance of fractional effects, offering deeper insights into the behavior of porous materials. This work advances thermoelastic theory and provides valuable guidance for designing advanced materials capable of withstanding challenging thermal environments.