Advanced thermoelastic analysis of materials with voids using Caputo‑tempered fractional derivatives in the dual‑phase lag framework
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.
We introduce novel methodological techniques for decision-making with multiple attributes utilizing logarithmic square root neutrosophic vague sets. One important thing is that we improved…
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…
This study investigated magneto-thermoelastic interactions in rotating viscoelastic
nanorods under moving heat sources, advancing the modeling of nanoscale systems.
A key innovation was the…