96 citations · 384 across the 24 of their papers we have counts for
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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"…
A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators
Jean-François Mercier, Bruno Lombard
Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fl…
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…
Time-domain numerical modeling of brass instruments including nonlinear wave propagation, viscothermal losses, and lips vibration
Harold Berjamin, Bruno Lombard, Christophe Vergez +1
A time-domain numerical modeling of brass instruments is proposed. On one hand, outgoing and incoming waves in the resonator are described by the Menguy-Gilbert model, which incorp…
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…