With the rapid development of ultrashort-pulse laser heating and nanomaterials in science
and engineering, the research on non-Fourier models to predict the anomalous heat …

We consider the space-time discretization of the diffusion equation, using an isogeometric
analysis (IgA) approximation in space and a discontinuous Galerkin (DG) approximation in …

To model transiently thermal responses of numerous thermal shock issues at nano-scale,
Fourier heat conduction law is commonly extended by introducing time rate of heat flux, and …

A spacetime domain can be progressively meshed by tent shaped objects. Numerical
methods for solving hyperbolic systems using such tent meshes to advance in time have …

We derive Riemann solutions for stick, slip and separation contact modes in a linear elastic
material with an isotropic Coulomb friction relation and explore their numerical …

This article deals with the implementation of the lattice Boltzmann method (LBM) for the
analyses of non-Fourier heat conduction in 1-D cylindrical and spherical geometries …

In this paper, transient thermal fracture problem corresponding to non-Fourier heat
conduction theory in a semi-infinite medium with a surface crack is studied. By Laplace …

This paper studies an interface crack in a two-layered composite media under an applied
thermal flux by using the hyperbolic heat conduction equation. The problem is solved by …

This paper studies the fracture mechanics of a piezoelectric material layer with an internal
crack under the framework of hyperbolic, non-Fourier heat conduction. The paper includes …

The stochastic hyperbolic heat conduction problem is addressed. The random field is
approximated by using the Karhunen–Loeve expansion truncated after a finite numbers of …