A novel generalized thermoelasticity model based on memory-dependent derivative

YJ Yu, W Hu, XG Tian - International Journal of Engineering Science, 2014 - Elsevier
In this work, by introducing memory-dependent derivative (MDD), instead of fractional
calculus, into the Lord and Shulman (LS) generalized thermoelasticity, we establish a new …

[BOOK][B] Non-Fourier Heat Conduction

AI Zhmakin - 2023 - Springer
The Fourier heat conduction model is valid for most macroscopic problems. However, it fails
when the wave nature of the heat propagation or the time lags become dominant and the …

Shock-induced thermal wave propagation and response analysis of a viscoelastic thin plate under transient heating loads

C Li, H Guo, X Tian - Waves in Random and Complex Media, 2018 - Taylor & Francis
This paper is devoted to the thermal shock analysis for viscoelastic materials under transient
heating loads. The governing coupled equations with time-delay parameter and nonlocal …

The zoo of non-fourier heat conduction models

AI Zhmakin - arxiv preprint arxiv:2212.12922, 2022 - arxiv.org
The Fourier heat conduction model is valid for most macroscopic problems. However, it fails
when the wave nature of the heat propagation or time lags become dominant and the …