Hostname: page-component-cc8bf7c57-l9twb Total loading time: 0 Render date: 2024-12-11T22:10:59.928Z Has data issue: false hasContentIssue false
  • English
  • Français

Ray analysis and punching problems for stretched elastic plates

Published online by Cambridge University Press:  17 February 2009

T. Bryant Moodie ,
R. J. Tait  and
D. W. Barclay
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The present paper presents a ray analysis for a problem of technical importance in fragmentation studies. The problem is that of suddenly punching a circular hole in either isotropic or transversely isotropic plates subjected to a uniaxial tension field. The ray method, which involves only differentiation, integration, and simple algebra, is shown to be particularly useful in clarifying the propagation process of the resulting unloading waves and obtaining the attendant discontinuities of the various quantities involved. Numerical results obtained from the ray analysis are presented in graphical form and compared with those obtained by more elaborate schemes.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 1 , July 1982 , pp. 98 - 119
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Cooper, H. F. and Reiss, E. L., “Propagation and reflection of viscoelastic waves”, J. Acoust. Soc. Amer. 38 (1965), 24–34.CrossRefGoogle Scholar
[2]Haddow, J. B. and Mioduchowski, A., “Waves from a suddenly punched hole in a plate subjected to a uniaxial tension field”, J. Appl. Mech. 46 (1979), 873–877.CrossRefGoogle Scholar
[3]Karal, R. C. and Keller, J. B., “Elastic wave propagation in homogeneous and inhomogeneous media”, J. Acoust. Soc. Amer. 31 (1959), 694–705.CrossRefGoogle Scholar
[4]Keller, J. B., “Rays, waves and asymptotics”, Bull. Amer. Math. Soc. 84 (1978), 727–750.CrossRefGoogle Scholar
[5]Lang, H. A., “Two verifications of the Karal-Keller theory of wave propagation”, J. Acoust. Soc. Amer. 34 (1962), 785–788.CrossRefGoogle Scholar
[6]Miklowitz, J., “Plane-stress unloading waves emanating from a suddenly punched hole in a stretched elastic plate”, J. Appl. Mech. 27 (1960), 165–171.CrossRefGoogle Scholar
[7]Moodie, T. B. and Barclay, D. W., “Wave propagation from a cylindrical cavity”, Acta Mech. 27 (1977), 103–120.CrossRefGoogle Scholar