In the past few decades, numerous heat conduction models extending beyond Fourier's
have been developed to account for large gradients, fast phenomena, wave propagation …

The accuracy of the classical heat conduction model, known as Fourier's law, is highly
questioned, dealing with the micro-and nanosystems and biological tissues. In other words …

In this paper, the transient temperature response of a cracked plate under thermal shock is
investigated. To eliminate the problems caused by the assumption of infinite heat …

The recent results attained from a thermodynamically conceived numerical scheme applied
on wave propagation in viscoelastic/rheological solids are generalized here, both in the …

Variational principles play a fundamental role in deriving the evolution equations of physics.
They work well in the case of non-dissipative evolution, but for dissipative systems, the …

Symplectic numerical schemes for reversible dynamical systems predict the solution reliably
over large times as well, and are a good starting point for extension to schemes for …

A nonlinear hyperbolic heat transport equation has been proposed based on the Cattaneo
model without mechanical effects. We analyze the two-dimensional Maxwell-Cattaneo …

Thermodynamics is continuously spreading in the engineering practice, which is especially
true for non-equilibrium models in continuum problems. Although there are concepts and …

Among the three heat conduction modes (diffusive, second sound, and ballistic
propagation), the ballistic one is the most difficult to model. In the present paper, we discuss …

We use backward error analysis for differential equations to obtain modified or distorted
equations describing the behaviour of the Newmark scheme applied to the transient …