DISPERSION RELATION FOR COMPRESSIBLE LAMINATED PLATE WITH FIXED FACES

M. I Lashhab; M. M  Alargat

doi:10.59743/jbs.v29i.71

المؤلفون

M. I Lashhab Department of Mathematics, Faculty of Science, Alasmarya University
M. M Alargat Department of Mathematics, Faculty of Science, Alasmarya University

DOI:

https://doi.org/10.59743/jbs.v29i.71

الملخص

The propagation of small amplitude waves in a pre-stressed symmetric 4-ply laminate with fixed faces is addressed in this paper. The dispersion relation associated with symmetric and antisymmetric solutions in the 4-ply laminate with fixed faces are first derived and then investigated both numerically and analytically in the high and low wave number regime. The so-called fixed faces, or no-slip boundary conditions ensures that no motion is possible on the upper and lower surface of the laminate and may be thought to model situations when the laminate clamped by stiffer materials. After presentation of these numerical solutions, particular focus is applied to the short wave regime, within which appropriate asymptotic approximations are established. These are shown to provide excellent agreement with the numerical solution over a surprisingly larger than might be expected wave number regime

المراجع

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