52 citations · 168 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…