Closure to “Discussion of ‘Numerical Solution for Two-Dimensional Elastic Wave Propagation in Finite Bars’” (1968, ASME J. Appl. Mech., 35, p. 199)

1968 ◽  
Vol 35 (1) ◽  
pp. 199-199
Author(s):  
L. D. Bertholf
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Numerical Solution ◽  
Elastic Wave Propagation ◽  
Two Dimensional

The relationship between two- and three-dimensional elastic-wave propagation

1971 ◽  
Vol 61 (6) ◽  
pp. 1583-1588 ◽  
Author(s):  
C. N. G. Dampney
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Three Dimensional ◽  
Elastic Wave Propagation ◽  
Simple Relationship ◽  
Two Dimensional ◽  
Intrinsic Interest ◽  
Cylindrically Symmetric ◽  
The Relationship ◽  
Dimensional Wave

abstract A technique similar to inverting Abel's equation is used to invert the descent of dimensions method between three-dimensional, cylindrically-symmetric and two-dimensional wave propagation. The end result is a very simple relationship between the two types of wave propagation. Apart from its intrinsic interest, the large number of two-dimensional studies reported in the literature could now be related to their three-dimensional counterparts.

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