Abstract
In this study the one-dimensional wave propagation in a functionally graded elastic slab is considered. It is assumed that the stiffness and density of the medium vary continuously in thickness direction and it is initially at rest and stress-free. The slab is subjected to a pressure pulse on one surface and a vanishing stress or displacement condition on the other. The solution is obtained in wave summation form. Propagation of a rectangular pressure pulse in a graded medium that consists of either nickel/zirconia or aluminum/silicon carbide is studied as examples. It is shown that there is considerable wave distortion in time and the distortion is much more pronounced in slabs with fixed/free boundary conditions. A simple approximate expression giving the peak stress is developed. Also it is demonstrated that the energy balance principle may be used as a convergence criterion in the calculation of stresses.
Original language | English |
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Pages (from-to) | 453-487 |
Number of pages | 35 |
Journal | Journal of Sound and Vibration |
Volume | 222 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1999 May 6 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering