Multimode, one-dimensional wave propagation in a highly discontinuous medium

Wave Motion ◽  
1989 ◽  
Vol 11 (3) ◽  
pp. 231-249 ◽  
Author(s):  
Robert Burridge ◽  
Hung-Web Chang
Wave Motion ◽  
1988 ◽  
Vol 10 (1) ◽  
pp. 19-44 ◽  
Author(s):  
Robert Burridge ◽  
George S. Papanicolaou ◽  
Benjamin S. White

1983 ◽  
Vol 50 (3) ◽  
pp. 637-640 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
A. Pielorz ◽  
W. Nadolski

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.


1972 ◽  
Vol 39 (2) ◽  
pp. 390-394
Author(s):  
W. N. Sharpe

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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