On the Growth and Decay of One-Dimensional Acceleration Waves

1965 ◽  
pp. 23-49 ◽  
Author(s):  
Bernard D. Coleman ◽  
Morton E. Gurtin
Keyword(s):  
One Dimensional ◽  
Acceleration Waves

The Velocity of One-Dimensional Shock and Acceleration Waves

1965 ◽  
pp. 1-19 ◽  
Author(s):  
Bernard D. Coleman ◽  
Morton E. Gurtin ◽  
Ismael Herrera R.
Keyword(s):  
One Dimensional ◽  
Acceleration Waves

On the Behavior of Acceleration Waves in Deformed Elastic Nonconductors

1972 ◽  
Vol 39 (1) ◽  
pp. 114-118 ◽  
Author(s):  
P. J. Chen
Keyword(s):  
Material Properties ◽  
Strain Field ◽  
Initial Amplitude ◽  
One Dimensional ◽  
Acceleration Waves ◽  
The Waves

In this paper, we consider one-dimensional acceleration waves propagating in an elastic nonconductor of heat which is at rest in a nonhomogeneous configuration. We show that there exists a number called the critical initial amplitude which either vanishes or is finite depending on the nature of the strain field just ahead of the waves and the material properties, and that under various physically reasonable circumstances the behavior of the waves can be quite different.

scholarly journals Acceleration Waves in Rational Extended Thermodynamics of Rarefied Monatomic Gases

Fluids ◽  
2020 ◽  
Vol 5 (3) ◽  
pp. 139
Author(s):  
Francesca Brini ◽  
Leonardo Seccia
Keyword(s):  
Shock Wave ◽  
Extended Thermodynamics ◽  
Rarefied Gases ◽  
Acceleration Wave ◽  
One Dimensional ◽  
Acceleration Waves ◽  
Rational Extended Thermodynamics ◽  
Monatomic Gas ◽  
Non Equilibrium

Rational Extended Thermodynamics theories with different number of moments are usually introduced to study non-equilibrium phenomena in rarefied gases. Here, we use them to describe one-dimensional acceleration waves in a rarefied monatomic gas. In particular, we focus on the degeneracy of the acceleration wave to a shock wave, in order to test the validity of the models and the role played by an increasing number of moments. As a byproduct, some peculiarities of the characteristic velocities at equilibrium are analyzed as well.

The behavior of one-dimensional acceleration waves in an inhomogeneous granular solid

1978 ◽  
Vol 16 (9) ◽  
pp. 637-648 ◽  
Author(s):  
Jace W. Nunziato ◽  
James E. Kennedy ◽  
Edward K. Walsh
Keyword(s):  
One Dimensional ◽  
Acceleration Waves ◽  
Granular Solid

Induced One-Dimensional Waves in Elastic Nonconductors

1967 ◽  
Vol 34 (4) ◽  
pp. 937-941 ◽  
Author(s):  
E. K. Walsh
Keyword(s):  
Small Amplitude ◽  
Heat Supply ◽  
Body Force ◽  
The Body ◽  
One Dimensional ◽  
Material Parameters ◽  
Similar Relation ◽  
Acceleration Waves ◽  
The One ◽  
Explicit Relation

The influence of a propagating discontinuity in the extrinsic body force and heat supply on the amplitude of induced shock and acceleration waves is studied. These waves are considered in the sense of moving surfaces of discontinuity in certain field quantities associated with a motion of the body. In the case of acceleration waves, an explicit relation is derived for the amplitude of the wave in terms of the extrinsic forces and the material parameters. A similar relation is exhibited for shock waves of small amplitude. Only the one-dimensional case is considered here and the material is assumed to be a nonconductor of heat.

19.—Propagation of Weak Discontinuities in a Layered Hyperelastic Half-space

1976 ◽  
Vol 75 (3) ◽  
pp. 209-221 ◽  
Author(s):  
Erdogan S. Suhubi ◽  
Alan Jeffrey
Keyword(s):  
Half Space ◽  
Reflection Coefficients ◽  
Initial Condition ◽  
One Dimensional ◽  
Transmission And Reflection Coefficients ◽  
Weak Discontinuities ◽  
Acceleration Waves ◽  
The One ◽  
The Waves ◽  
Transmission And Reflection

SYNOPSISThis paper investigates the one-dimensional propagation of weak discontinuities, that is acceleration waves, in a homogeneous and isotropic half-space composed of an arbitrary number of non-linearly hyperelastic layers. The transmission and reflection coefficients are evaluated in terms of the initial condition at the boundary, and the steepening of the waves to form a shock is discussed. The results are specialised to the case of periodic layering.

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