52 citations · 168 across the 9 of their papers we have counts for
10 papers
Plane-strain waves in nonlinear elastic solids with softening
Harold Berjamin, Bruno Lombard, Guillaume Chiavassa +1
Propagation of elastic waves in damaged media (concrete, rocks) is studied theoretically and numerically. Such materials exhibit a nonlinear behavior, with long-time softening and…
Nonlinear waves in solids with slow dynamics: an internal-variable model
H Berjamin, N Favrie, B Lombard +1
In heterogeneous solids such as rocks and concrete, the speed of sound diminishes with the strain amplitude of a dynamic loading (softening). This decrease known as "slow dynamics"…
Analytical solution to the Riemann problem of 1D elastodynamics with general constitutive laws
H Berjamin, B Lombard, G Chiavassa +1
Under the hypothesis of small deformations, the equations of 1D elastodynamics write as a 2 x 2 hyperbolic system of conservation laws. Here, we study the Riemann problem for conve…
Wave simulation in 2D heterogeneous transversely isotropic porous media with fractional attenuation: a Cartesian grid approach
Emilie Blanc, Guillaume Chiavassa, Bruno Lombard
A time-domain numerical modeling of transversely isotropic Biot poroelastic waves is proposed in two dimensions. The viscous dissipation occurring in the pores is described using t…
A time-domain numerical method for Biot-JKD poroelastic waves in 2D heterogeneous media
Emilie Blanc, Guillaume Chiavassa, Bruno Lombard
An explicit finite-difference scheme is presented for solving the two-dimensional Biot equations of poroelasticity across the full range of frequencies. The key difficulty is to di…
Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives
Emilie Blanc, Guillaume Chiavassa, Bruno Lombard
A time-domain numerical modeling of Biot poroelastic waves is presented. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed…
Semi-analytical and numerical methods for computing transient waves in 2D acoustic / poroelastic stratified media
Gaëlle Lefeuve-Mesgouez, Arnaud Mesgouez, Guillaume Chiavassa +1
Wave propagation in a stratified fluid / porous medium is studied here using analytical and numerical methods. The semi-analytical method is based on an exact stiffness matrix meth…
Wave propagation across acoustic / Biot's media: a finite-difference method
Guillaume Chiavassa, Bruno Lombard
Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in t…
Time domain numerical modeling of wave propagation in 2D heterogeneous porous media
Guillaume Chiavassa, Bruno Lombard
This paper deals with the numerical modeling of wave propagation in porous media described by Biot's theory. The viscous efforts between the fluid and the elastic skeleton are assu…
Numerical modeling of 1-D transient poroelastic waves in the low-frequency range
Guillaume Chiavassa, Bruno Lombard, Joël Piraux
Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot's model with frequency-independant coefficients. The c…