In this study the growth and decay of one-dimensional acceleration waves in nonlinear viscoelastic solids are considered. The conditions governing the growth and decay, in-cluding the concept of a critical acceleration level derived by Coleman and Gurtin, are discussed in terms of certain relevant material functions. It is shown that these mate-rial functions can be determined from the results of experimental shock wave-propa-gation studies. The experimental methods used to generate and observe acceleration waves in solids are discussed and applied to the propagation of acceleration waves in the polymer, polymethyl methacrylate (PMMA). It was found that the conditions derived by Coleman and Gurtin accurately predict the experimentally obser...
Undular bores, or dispersive shock waves, are non-stationary waves propagating as oscillatory transi...
In the paper, we discuss such unexpected features in the wave evolution in solids as strongly nonlin...
Asymptotic evolution laws for plane dilatational shock waves travelling in simple materials with mem...
Three-dimensional acceleration waves are studied for a large class of materials which includes nonli...
The theory of Coleman and Gurtin is expanded to include the propagation of acceleration waves in one...
The growth equation for acceleration waves propagating in an incompressible elastic solid is derived...
Within the framework of the nonlinear elastic theory of micromorphic continua we derive the conditio...
Acceleration waves in nonlinear thermoelastic micropolar media are considered. We establish the kine...
Within the unified approach to modelling of media with microstructure we discuss the propagation of ...
A spectral analysis of the acceleration wave problem in general elasto-plastic materials is carried ...
In this paper we propose a Signorini’s perturbation method to investigate the propagation of acceler...
We study the evolutionary development of an acceleration wave propagating in a saturated porous mate...
Summary Conditions imposed on the initial data by the assumption that an acceleration wave may propa...
This study investigates the propagation of shock waves and self-preserving waves in soft tissues suc...
A model for nonlinear elastic body with double porosity structure is proposed. We generalize previou...
Undular bores, or dispersive shock waves, are non-stationary waves propagating as oscillatory transi...
In the paper, we discuss such unexpected features in the wave evolution in solids as strongly nonlin...
Asymptotic evolution laws for plane dilatational shock waves travelling in simple materials with mem...
Three-dimensional acceleration waves are studied for a large class of materials which includes nonli...
The theory of Coleman and Gurtin is expanded to include the propagation of acceleration waves in one...
The growth equation for acceleration waves propagating in an incompressible elastic solid is derived...
Within the framework of the nonlinear elastic theory of micromorphic continua we derive the conditio...
Acceleration waves in nonlinear thermoelastic micropolar media are considered. We establish the kine...
Within the unified approach to modelling of media with microstructure we discuss the propagation of ...
A spectral analysis of the acceleration wave problem in general elasto-plastic materials is carried ...
In this paper we propose a Signorini’s perturbation method to investigate the propagation of acceler...
We study the evolutionary development of an acceleration wave propagating in a saturated porous mate...
Summary Conditions imposed on the initial data by the assumption that an acceleration wave may propa...
This study investigates the propagation of shock waves and self-preserving waves in soft tissues suc...
A model for nonlinear elastic body with double porosity structure is proposed. We generalize previou...
Undular bores, or dispersive shock waves, are non-stationary waves propagating as oscillatory transi...
In the paper, we discuss such unexpected features in the wave evolution in solids as strongly nonlin...
Asymptotic evolution laws for plane dilatational shock waves travelling in simple materials with mem...