3. Special cases of the
2FDPL-model.
Here, the following models of thermoelasticity are obtained as special
cases:
- The classical thermoelasticity theory (CTE) [1] is
obtained by setting \(\tau_{q}=\tau_{\theta}=0\) and\(\alpha=\ \beta=1\).
- Lord-Shulman theory of thermoelasticity (LS) [2] is given
when \(\tau_{q}>0,\ \ \ \alpha,\ \beta\rightarrow 0\) and\(\tau_{\theta}=0\).
- The generalized theory with dual phase-lags (DPL) [8] is
derived from 2FDPL by putting \(\tau_{q}\geq\tau_{\theta}>0\) and\(\ \alpha\rightarrow 1,\ \beta\rightarrow 1\).
- Fractional thermoelasticity model with a single phase
lag introduced by Sheriff et al. (SFLS ) [16] is obtained
when \(\tau_{\theta}=0\).