23 citations · 53 across the 3 of their papers we have counts for
5 papers
Guaranteed wave-speed bounds for the compressible Euler equations with a composite equation of state
Nicolas Favrie, Matthias Maier
We derive computable upper bounds on the maximum wave speed in the Riemann problem for the compressible Euler equations with a composite equation of state, in which the pressure is…
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…
Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations
Nicolas Favrie, Bruno Lombard, Cédric Payan
Heterogeneous materials, such as rocks and concrete, have a complex dynamics including hysteresis, nonlinear elasticity and viscoelasticity. It is very sensitive to microstructural…