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Graphical Representation of the Spherical Propagation of Explosive Pulses in Elastic Media

 

作者: Werner Goldsmith,   William A. Allen,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1955)
卷期: Volume 27, issue 1  

页码: 47-55

 

ISSN:0001-4966

 

年代: 1955

 

DOI:10.1121/1.1907495

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

The problem of spherically symmetric wave propagation in homogeneous, isotropic elastic media of infinite extent has been examined frequently in recent years, and a number of analytical solutions have been reported in the literature for various initial conditions. Some interest has also been exhibited in the application of these relations to the transient phenomena occurring in metals when subjected to contact explosions. Under these conditions, an actual wave system can be approximated by postulating the existence of a spherical cavity in the interior of the medium and applying as the initial condition a pulse of exponentially decaying character. While no difficulty is encountered here in an analytic expression of the displacements, velocities and stresses occurring at each point of the medium as a function of location and time, it has been found highly desirable to represent these terms in pictorial form to permit a rapid evaluation of the nature of the disturbances in the region of interest. Consequently, numerical calculations have been performed on an IBM machine and the resultant data have been employed in a space‐time representation of these parameters.

 

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