Transient axisymmetric stress wave propagation in weakly coupled layered structures

Journal of Sound and Vibration

Volumn 194, Issue 3, 1996, Pages 389-416

  Cetinkaya, C ^a,c   Vakakis, A F ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

^c WOLFRAM RESEARCH INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; ATTENUATION; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; LOADS (FORCES); MATHEMATICAL TRANSFORMATIONS; SHEAR STRESS; STRESS CONCENTRATION; STRUCTURES (BUILT OBJECTS);

ATTENUATION ZONE; DOUBLE INTEGRAL TRANSFORM TECHNIQUE; LAYERED STRUCTURES; PHYSICAL VARIABLES; PROPAGATION ZONE; STRESS WAVE PROPAGATION; TRANSFORMED VARIABLES; TRANSIENT RESPONSE; TRANSIENT WAVES;

ACOUSTIC WAVE TRANSMISSION;

EID: 0030190901     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0365     Document Type: Article

References (24)

1. A. F. VAKAKIS, M. EL-RAHEB and C. CETINKAYA 1994 Journal of Sound and Vibration 172, 23-46. Free and forced dynamics of a class of periodic elastic systems.
2. C. CETINKAYA, A. F. VAKAKIS and M. EL-RAHEB 1995 Journal of Sound and Vibration 182, 283-302. Axisymmetric elastic waves in weakly coupled layered media of infinite radial extent.
3. G. F. MILLER and H. PURSEY 1954 Proceedings of the Royal Society: Series A Mathematical and Physical Sciences 223, 521-541. The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid.
4. G. F. MILLER and H. PURSEY 1955 Proceedings of the Royal Society: Series A Mathematical and Physical Sciences 223, 55-69. On the partition of energy between elatic waves in a semi-infinite solid.
5. R. D. WOODS 1968 Proceedings of the American Society of Civil Engineers 94, 951-979. Screening of surface waves in solids.
6. C. CETINKAYA, 1995 Ph.D. dissertation, University of Illinois at Urbana-Champaign, Urbana, Illinois. Axisymmetric stress wave propagation in weakly coupled layered structures: analytical and computational studies.
7. T. KUNDU and A. K. MAL 1985 Wave Motion 7, 459-471. Elastic waves in a muitilayered solid due to a dislocation source.
8. A. K. MAL and P. C. XU 1989 Elastic Wave Propagation (M. F. McCarthy and M. A. Hayes, editors) 67-73.
9. H. SCHMIDT and F. B. JENSEN 1984 SACLANTCEN Memorandum SM-173. An efficient numerical solution technique for wave propagation in horizontally stratified ocean environments.
10. H. SCHMIDT and F. B. JENSEN 1985 Journal of the Acoustical Society of America 77, 813-825. A full wave solution for propagation in multilayered viscoelastic media with application to Gaussian beam reflection at fluid-solid interfaces.
11. A. K. MAL 1988 Wave Motion 10, 257-266. Wave propagation in layered composite laminates under periodic surface loads.
12. T. J. R. HUGHES, M. COHEN and M. HAROUN 1978 Nuclear Engineering and Design 46, 203-222. Reduced and selective integration techniques in the finite element analysis of plates.
13. T. J. R. HUGHES and W. K. LIU 1978 Journal of Applied Mechanics 45, 371-374. Implicit-explicit finite elements in transient analysis: stability theory.
14. T. J. R. HUGHES and W. K. LIU 1978 Journal of Applied Mechanics 45, 375-378. Implicit-explicit finite elements in transient analysis: implementation and numerical examples.
15. J. W. DUNKIN 1965 Bulletin of the Seismological Society of America 55, 335-358. Computational modal solutions in layered elastic media at high frequencies.
16. B. L. N KENNETT 1983 Seismic Wave Propagation in Stratified Medisa. London: Cambridge University Press.
17. L. N. G. FILON 1928 Proceedings of the Royal Society 49, 38-47. On a quadrature formula for trigonometric integrals.
18. E. A. FLINN 1960 Journal of ACM 7, 181-184. A modification of Filon's method of numerical integration.
19. IMSL 1991 Fortran Subroutines for Mathematical Applications.
20. S. WOLFRAM 1991 A System for Doing Mathematics by Computer. New York: Addison-Wesley: second edition.
21. ABAQUS-Standard 1994 User's Manual, Theory Manual, Example Problems Manual and ABAQUS-Post Manual.
22. M. COHEN and P. C. JENNINGS 1983 Computational Methods for Transient Analysis 1, 301-357. Silent boundary methods for transient analysis.
23. J. D. ACHENBACH 1987 Wave Propagation in Elastic Solids. New York: North-Holland.
24. H. KOLSKY 1963 Stress Waves in Solids. New York: Dover Publications.