27 citations · 160 across the 16 of their papers we have counts for
16 papers
Nonlinear dispersive waves in soft elastic laminates under finite magneto-deformations
Harold Berjamin, Stephan Rudykh
Layered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the freque…
The KP equation of plane elastodynamics
Harold Berjamin, Michel Destrade, Giuseppe Saccomandi
The propagation of nonlinear and dispersive waves in various materials can be described by the well-known Kadomtsev-Petviashvili (KP) equation, which is a (2+1)-dimensional partial…
Elastic wave propagation in magneto-active fibre composites
Harold Berjamin, Stephan Rudykh
Fibre-reinforced elastomers are lightweight and strong materials that can sustain large deformations. When filled with magnetic particles, their effective mechanical response can b…
Universality of the angled shear wave identity in soft viscous solids
Harold Berjamin, Artur L. Gower
Mechanical stress within biological tissue can indicate an anomaly, or can be vital of its function, such as stresses in arteries. Measuring these stresses in tissue is challenging…
Computation of viscoelastic shear shock waves using finite volume schemes with artificial compressibility
Harold Berjamin
The formation of shear shock waves in the brain has been proposed as one of the plausible explanations for deep intracranial injuries. In fact, such singular solutions emerge natur…
Singular travelling waves in soft viscoelastic solids of rate type
Harold Berjamin, Michel Destrade, Giuseppe Saccomandi
We consider shear wave propagation in soft viscoelastic solids of rate type. Based on objective stress rates, the constitutive model accounts for finite strain, incompressibility,…
Models of fractional viscous stresses for incompressible materials
Harold Berjamin, Michel Destrade
We present and review several models of fractional viscous stresses from the literature, which generalise classical viscosity theories to fractional orders by replacing total strai…
On the accuracy of one-way approximate models for nonlinear waves in soft solids
Harold Berjamin
Simple strain-rate viscoelasticity models of isotropic soft solid are introduced. The constitutive equations account for finite strain, incompressibility, material frame-indifferen…
Shear shock formation in incompressible viscoelastic solids
Harold Berjamin, Chockalingam Senthilnathan
Experiments have shown that shear waves induced in brain tissue can develop into shock waves, thus providing a possible explanation of deep traumatic brain injuries. Here, we study…
Acoustoelastic analysis of soft viscoelastic solids with application to pre-stressed phononic crystals
Harold Berjamin, Riccardo De Pascalis
The effective dynamic properties of specific periodic structures involving rubber-like materials can be adjusted by pre-strain, thus facilitating the design of custom acoustic filt…
Nonlinear plane waves in saturated porous media with incompressible constituents
Harold Berjamin
We consider the propagation of nonlinear plane waves in porous media within the framework of the Biot-Coussy biphasic mixture theory. The tortuosity effect is included in the model…
On the thermodynamic consistency of Quasi-Linear Viscoelastic models for soft solids
Harold Berjamin, Michel Destrade, William J. Parnell
Originating in the field of biomechanics, Fung's model of quasi-linear viscoelasticity (QLV) is one of the most popular constitutive theories employed to compute the time-dependent…
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…
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…