On the Propagation of One-Dimensional Acceleration Waves in Laminated Composites

1973 ◽  
Vol 40 (4) ◽  
pp. 1055-1060 ◽  
Author(s):  
P. J. Chen ◽  
M. E. Gurtin
Keyword(s):  
Wave Propagation ◽  
Effective Moduli ◽  
Acceleration Wave ◽  
One Dimensional ◽  
Nonlinear Viscoelastic ◽  
Junction Points ◽  
Acceleration Waves ◽  
Viscoelastic Composites ◽  
Nonlinear Elastic ◽  
Dimensional Wave

In this paper we study one-dimensional wave propagation in (nonlinear) elastic and viscoelastic composites. We derive an expression for the amplitude of an acceleration wave; when confined to the junction points of the cells, this expression has exactly the same form as that for a single nonlinear viscoelastic material. We use this fact to derive effective moduli for composites.

Acceleration Wave Propagation in a Nonlinear Viscoelastic Solid

1973 ◽  
Vol 40 (3) ◽  
pp. 705-710 ◽  
Author(s):  
E. K. Walsh ◽  
K. W. Schuler
Keyword(s):  
Wave Propagation ◽  
Viscoelastic Solid ◽  
Critical Acceleration ◽  
One Dimensional ◽  
Acceleration Level ◽  
Material Functions ◽  
Nonlinear Viscoelastic ◽  
Experimental Shock ◽  
Acceleration Waves ◽  
Relevant Material

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, including 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 material functions can be determined from the results of experimental shock wave-propagation 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 observed behavior of acceleration waves in PMMA.

Longitudinal Collision of Rod-Rigid Element Systems

1983 ◽  
Vol 50 (3) ◽  
pp. 637-640 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
A. Pielorz ◽  
W. Nadolski
Keyword(s):  
Wave Propagation ◽  
Elastic Rods ◽  
Propagation Theory ◽  
One Dimensional ◽  
Rigid Element ◽  
Dimensional Wave

One-dimensional wave propagation theory is used to investigate the forces, velocities, and displacements in a series of elastic rods connected to rigid elements. The method is applied to the case of two subsystems that collide. The technique allows the calculations to be done during a short-lived event such as a collision.

Fracture of Lucite Cones by Shock Waves

1972 ◽  
Vol 39 (2) ◽  
pp. 390-394
Author(s):  
W. N. Sharpe
Keyword(s):  
Wave Propagation ◽  
Shock Waves ◽  
Tensile Stress ◽  
Fracture Criterion ◽  
Leading Edge ◽  
Propagation Theory ◽  
One Dimensional ◽  
Cone Axis ◽  
Cone Apex ◽  
Dimensional Wave

A compressive pulse applied to the base of a cone develops a tensile tail as it propagates toward the cone apex. This tension can cause fracture of the cone perpendicular to the cone axis before the leading edge of the pulse reaches the tip. It is shown that the elementary one-dimensional wave-propagation theory for cones and a time-independent critical tensile stress fracture criterion adequately describe the fracture of lucite cones subjected to narrow rectangular compressive pulses between 1 and 7 kilobars in magnitude.

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