Wave propagation in a weak viscoelastic layer produced by prescribed velocity on the boundary

Journal of Sound and Vibration

Volumn 275, Issue 1-2, 2004, Pages 89-106

  El Raheb, M ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMPEDANCE; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; VISCOELASTICITY; VISCOSITY;

STRESS WAVES; TRANSVERSE PROPAGATION; VISCOELASTIC LAYERS;

WAVE PROPAGATION;

EID: 3042651572     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00787-9     Document Type: Article

References (17)

1. M.L. Wilkins, The use of artificial viscosity in multidimensional fluid dynamics calculations, University of California, Lawrence Livermore National Laboratory, Rept. UCRL-78348, 1976.
2. J.O. Hallquist, A procedure for the solution of finite deformation contact-impact problems by the finite element method, University of California, Lawrence Livermore National Laboratory, Rept. UCRL-52066, 1976.
3. J.O. Hallquist, DYNA2D - an explicit finite element and finite difference code for axisymmetric and plane strain calculations (User's Guide), University of California, Lawrence Livermore National Laboratory, Report UCRL-52429, March, 1978.
4. Goudreau G.L. J.O. Hallquist, Recent developments in large scale finite element Lagrangian hydrocode technology. Computer Methods in Applied Mechanics and Engineering. 33:1982;725-757.
5. Monaghan J.J. Shock simulation by the particle method SPH. Journal of Computational Physics. 52:1983;374-389.
6. Nayroles B., Touzot G., Villon P. Generalizing the finite element method. diffuse approximation and diffuse elements Computational Mechanics. 10:1983;307-318.
7. F.P. Stecher, G.R. Johnson, Lagrangian computations for projectile penetration into thick plates, in: W.A. Grover (Ed.), Computers in Engineering, vol. 2, ASME, New York, 1984, pp. 292-299.
8. Haber R.B. A mixed Eulerian-Lagrangian displacement model for large-deformation analysis in solid mechanics. Computer Methods in Applied Mechanics and Engineering. 43:1984;277-292.
9. Liu W.K., Belytschko T., Chang H. An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Computer Methods in Applied Mechanics and Engineering. 58:1986;227-245.
10. Bammann D.J. Modeling temperature and strain rate dependent large deformation of metals. Applied Mechanics Reviews. 43:1990;312-319.
11. Ghosh S., Kikuchi N. An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering. 86:1991;127-188.
12. Libersky L.D., Petschek A.G., Carney T.C., Hipp J.R., Allahdadi F.A. High strain Lagrangian hydrodynamics. Journal of Computational Physics. 109:1995;67-75.
13. Belytschko T., Lu Y.Y., Gu L. Element-free Galerkin methods. International Journal of Numerical Methods in Engineering. 37:1994;229-256.
14. El-Raheb M., Wagner P. Wave propagation in a plate after impact by a projectile. Journal of the Acoustical Society of America. 82:1987;498-505.
15. El-Raheb M., Wagner P. Transient elastic waves in finite layered media. three-dimensional axisymmetric analysis Journal of the Acoustical Society of America. 99:1996;3513-3527.
16. El-Raheb M. Dynamics of a 2-D composite of elastic and visco-elastic layers. Journal of the Acoustical Society of America. 112:2002;1445-1455.
17. Y.C. Fung, Foundations of Solid Mechanics, 1st Edition, Prentice-Hall, Englewood Cliffs, NJ, 1965, pp. 22-27.