Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-10T15:25:16.444Z Has data issue: false hasContentIssue false
  • English
  • Français

Cylindrical Stress Waves in Poroelastic Flat Slabs

Published online by Cambridge University Press:  05 May 2011

P. M. Reddy  and
M. Tajuddin
P. M. Reddy*
Affiliation:
Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
M. Tajuddin*
Affiliation:
Department of Mathematics, Osmania University, Hyderabad, 500007, A.P., India
*
* Post Doctoral Researcher
** Professor
Get access

Abstract

Biot's poroelastic theory is employed to study stress wave propagation in an infinite slab of arbitrary thickness. The frequency equation is obtained each for pervious and impervious surfaces for a nondissipative medium. Appropriate numerical data is presented in the form of graphs and then results are discussed. Waves in a thin bar and in a semi-infinite slab are discussed as limiting cases.

Keywords

Cylindrical stress wavesThin slabSemi-infinite slab.
Type
Technical Note
Information
Journal of Mechanics , Volume 22 , Issue 2 , June 2006 , pp. 161 - 165
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Ewing, W. M., Jardetzsky, W. S. and Press, F., Elastic Waves in Layered Media, McGraw-Hill, New York (1957).CrossRefGoogle Scholar
2.Miklowitz, J., “Elastic Wave Propagation,” Appl. Mech. Rev., 13, pp. 865–878 (1960).Google Scholar
3.Kolsky, H., “Stress Waves in Solids,” J. Sound Vib., 33, pp. 88–110 (1963).Google Scholar
4.Biot, M. A., “Theory of Propagation of Elastic Waves in Fluid Saturated Porous Solid,” J. Acoust. Soc. Am., 28, pp. 168–178 (1956).CrossRefGoogle Scholar
5.Paria, G., “Flow of Fluid Through Porous Deformable-Solid,” Appl. Mech. Rev., 16, pp. 421–423 (1963).Google Scholar
6.Boer, R. De. and Ehlers, W., “A Historical Review of the Formulation of Porous Media Theories,” Acta Mech., 79, pp. 1–8 (1988).CrossRefGoogle Scholar
7.Malla Reddy, P. and Tajuddin, M., “Wave Propagation for Cylindrical Bore in Poroelastic Solids,” Mathematics and Statistics in Engineering and Technology, Narosa Publications, India, pp. 47–51 (1999).Google Scholar
8.Malla Reddy, P. and Tajuddin, M., “Exact Analysis of the Plain-Strain Vibrations of Thick-Walled Hollow Poroelastic Cylinders,” Int. J. Solids and Struct., 37, pp. 3439–3456 (2000).CrossRefGoogle Scholar
9.Tajuddin, M. and Narayan Reddy, G., “Effect of Curvature on Rayleigh Type Waves in Poroelastic Solids,” Indian J. Pure and Appl. Math., 33, pp. 1707–1712 (2002).Google Scholar
10.Tajuddin, M. and Narayan Reddy, G., “Effect of Curvature on Stonely Waves in Poroelastic Solids,” Indian J. Pure and Appl. Math., 33, pp. 391–401 (2002).Google Scholar
11.Malla Reddy, P. and Tajuddin, M., “Edge Waves in Poroelastic Plate Under Plane Stress Conditions,” J. Acoust. Soc. Am., 114(1), pp. 185–193 (2003).CrossRefGoogle Scholar
12.Davids, N. and Kumar, S., “Cylindrical Stress Waves in Flat Slabs,” Quart. J. Mech. and Appl. Math., 10, pp. 465–481 (1957).CrossRefGoogle Scholar
13.Yeheskel, T. O., “A New Assessment Method for the Bulk Modulus and the Poisson Ratio of Ceramics,” J. Testing and Eavaluation, 28, pp. 189–198 (2000).CrossRefGoogle Scholar