Wave propagation in functionally graded and layered materials

Finite Elements in Analysis and Design

Volumn 45, Issue 12, 2009, Pages 876-891

  Aksoy, H G ^a   Senocak E ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Discontinuous Galerkin method; FGM; Layered media; Wave propagation

Indexed keywords

DISCONTINUOUS GALERKIN METHODS; DISPLACEMENTS AND STRESS; FGM; FUNCTIONALLY GRADED; LAYERED MATERIAL; LAYERED MEDIA; QUASI-STATIC; TIME-DISCONTINUOUS GALERKIN METHODS;

CRACK PROPAGATION; FUNCTIONALLY GRADED MATERIALS; NUMERICAL METHODS; WAVE PROPAGATION;

GALERKIN METHODS;

EID: 71849087387     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2009.06.025     Document Type: Article

References (23)

1. Aksoy H.G., and Senocak E. Space-time discontinuous Galerkin method for dynamics of solids. Communications in Numerical Methods in Engineering 24 (2008) 1887-1907
2. Achenbach J.D. Wave Propagation in Solids (1976), Elsevier, New York, NY
3. Kolsky H. Stress Waves in Solids (1964), Dover Publication, New York, NY
4. Jones R.M. Mechanics of Composite Materials (1998), Taylor & Francis, Ann Arbor, MI
5. Gupta Y.M., and Ding J.L. Impact load spreading in layered materials and structures: concept and quantitative measure. International Journal of Impact Engineering 27 (2002) 277-291
6. Lundergan C.D., and Drumheller D.S. Propagation of stress waves in laminated plate composite. Journal of Applied Physics 42 (1971) 669-675
7. El-Raheb M., and Tham R. Transient waves in a periodic stack: experiments and comparison with analysis. Journal of Acoustical Society of America 101 (1997) 860-866
8. Sun C.T., Achenbach J.D., and Herrmann G. Continuum theory for a laminated medium. Journal of Applied Mechanics 35 (1968) 467-473
9. D.S. Drumheller, A. Bedford, On a continuum theory for a laminated medium, Journal of Applied Mechanics (1973) 527-532.
10. Chen X., Chandra N., and Rajendran A. Analytical solution to the plate impact problem of layered heterogeneous material systems. International Journal of Solids and Structures 41 (2004) 4635-4659
11. Li Y., Ramesh K.T., and Chin E.S.C. Dynamic characterization of layered and graded structures under impulsive loading. International Journal of Solids and Structures 38 (2001) 6045-6061
12. Lee E.H., Budiansky B., and Drucker D.C. On the influence of variations of material properties on stress wave propagation through elastic slabs. Journal of Applied Mechanics 42 2 (1975) 417-422
13. Lindholm U.S., and Doshi K.D. Wave propagation in an elastic nonhomogeneous bar of finite length. Journal of Applied Mechanics 30 (1965) 135-142
14. Steele C.R. Asymptotic analysis of stress waves in inhomogeneous elastic solids. AIAA Journal 7 (1969) 896-902
15. Chiu T.C., and Erdogan F. One-dimensional wave propagation in a functionally graded elastic medium. Journal of Sound and Vibration 222 (1999) 453-487
16. Chi S.H., and Chung Y.L. Mechanical behavior of functionally graded material plates under transverse load-part i: analysis. International Journal of Solids and Structures 43 (2006) 3657-3674
17. Gong S.W., Lam K.Y., and Reddy J.N. The elastic response of functionally graded cylindrical shells to low-velocity impact. International Journal of Impact Engineering 22 (1999) 397-417
18. Liu G.R., Han X., and Lam K.Y. Stress waves in functionally gradient materials and its use for material characterization. Composites Part B: Engineering 30 (1999) 383-394
19. Chakraborty A., and Gopalakrishnan S. Approximate spectral element for wave propagation analysis in inhomogeneous layered media. AIAA Journal 44 (2006) 1676-1685
20. Santare M.H., Thamburaj P., and Gazonas G.A. The use of graded finite elements in the study of elastic wave propagation in continuously nonhomogeneous materials. International Journal of Solids and Structures 40 (2003) 5621-5634
21. Banks-Sills L., Eliasi R., and Berlin Y. Modelling of functionally graded materials in dynamic analyses. Composites Part B: Engineering 33 (2002) 7-15
22. Berezovski A., Engelbrech J., and Maugin G.A. Numerical solution of two dimensional wave propagation in functionally graded materials. European Journal Mechanics 22 (2003) 257-265
23. H.G. Aksoy, E. Senocak, Modelling of functionally graded and layered materials with space-time discontinuous Galerkin method, in: 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Austin-Texas, USA, 2005.