Effects of material gradients on transient dynamic mode-III stress intensity factors in a FGM

International Journal of Solids and Structures

Volumn 40, Issue 20, 2003, Pages 5251-5270

  Zhang, Ch ^a   Sladek, J ^b   Sladek, V ^b  

^a UNIVERSITY OF APPLIED SCIENCES ZITTAU GÖRLITZ   (Germany)

^b INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

Dynamic fracture mechanics; Dynamic overshoot; Dynamic stress intensity factors; Functionally graded materials; Time domain boundary integral equation method

Indexed keywords

CRACKS; GALERKIN METHODS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; STRESS ANALYSIS; STRESS INTENSITY FACTORS;

FINITE CRACKS;

FUNCTIONALLY GRADED MATERIALS;

FRACTURE MECHANICS;

EID: 0041828275     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00243-9     Document Type: Article

References (35)

1. Abramowitz M. Stegun I.A. Handbook of Mathematical Functions 1972 Dover Publications New York
2. Aliabadi, M.H., 2002. The Boundary Element Method, Volume 2, Applications in Solids and Structures. John Wiley - Sons, Inc
3. Atkinson C. Some results on crack propagation in media with spatially varying elastic moduli Int. J. Fract. 11 1975 619-628
4. Atkinson C. List R.D. Steady state crack propagation into media with spatially varying elastic properties Int. J. Eng. Sci. 16 1978 717-730
5. Babaei R. Lukasiwicz S.A. Dynamic response of a crack in a functionally graded material between two dissimilar half planes under antiplane shear impact load Eng. Fract. Mech. 60 1998 479-487
6. Beskos D.E. Boundary element methods in dynamic analysis. Part II (1986-1996) Appl. Mech. Rev. 50 1997 149-197
7. Doḿnguez J. Boundary Elements in Dynamics 1993 Computational Mechanics Publications Southampton, UK
8. Erdogan F. Fracture mechanics of functionally graded materials Compos. Eng. 5 1995 753-770
9. Gradshteyn I.S. Ryzhik I.M. Table of Integrals, Series, and Products 1980 Academic Press, Inc London
10. Li C. Duan Z. Zou Z. Torsional impact response of a penny-shaped interface crack in bonded materials with a graded material interlayer ASME J. Appl. Mech. 69 2002 303-308
11. Li C. Weng G.J Dynamic stress intensity factor of a cylindrical interface crack with a functionally graded interlayer Mech. Mater. 33 2001 325-333
12. Li C. Weng G.J. Yoffe-type moving crack in a functionally graded piezoelectric material Proc. Roy. Soc. Lond. A 458 2002 381-399
13. Li C. Weng G.J. Dynamic fracture analysis of a penny-shaped crack in a functionally graded material interlayer Math. Mech. Solids 7 2002 149-163
14. Li C. Weng G.J. Duan Z. Dynamic behavior of a cylindrical crack in a functionally graded interlayer under torsional loading Int. J. Solids Struct. 38 2001 7473-7485
15. Li C. Weng G.J. Duan Z. Zou Z. Dynamic stress intensity factor of a functionally graded material with a finite crack under anti-plane shear loading Acta Mech. 149 2001 1-10
16. Li C. Zou Z. Torsional impact response of a functionally graded material with a penny-shaped crack ASME J. Appl. Mech. 62 1999 566-567
17. Li C. Zou Z. Duan Z. Torsional impact response of a transversely isotropic solid with functionally graded moduli and a penny-shaped crack Theor. Appl. Fract. Mech. 32 1999 157-163
18. Li C. Zou Z. Duan Z. Dynamic stress field around the mode III crack tip in an orthotropic functionally graded material Appl. Math. Mech. 21 2000 651-658
19. Lubich C. Convolution quadrature and discretized operational calculus. I Numer. Math. 52 1988 129-145
20. Marur P.R. Tippur H.V. Dynamic response of bimaterial and graded interface cracks under impact loading Int. J. Fract. 103 2000 95-109
21. Meguid S.A. Wang X.D. Jiang L.Y. On the dynamic propagation of a finite crack in functionally graded materials Eng. Fract. Mech. 69 2002 1753-1768
22. Miyamoto Y. Kaysser W.A. Rabin B.H. Kawasaki A. Ford R.G. Functionally Graded Materials 1999 Kluwer Academic Publishers Boston
23. Nakagaki M. Sasaki H. Hagihara S. A study of crack in functionally graded material under dynamic loading ASME PVP 300 1995 1-6
24. Nakagaki M. Wu Y.D. Hagihara S. Dynamically propagating crack in graded particle dispersed composites Fracture Strength Solids 145 1998 333-342
25. Parameswaran V. Shukla A. Dynamic fracture of a functionally graded material having discrete property variation J. Mater. Sci. 33 1998 3303-3311
26. Parameswaran V. Shukla A. Crack-tip stress fields for dynamic fracture in functionally graded materials Mech. Mater. 31 1999 579-596
27. Rousseau C.-E. Tippur H.V. Dynamic fracture of compositionally graded materials with cracks along the elastic gradient: Experiments and analysis Mech. Mater. 33 2001 403-421
28. Rousseau C.-E. Tippur H.V. Influence of elastic gradient profiles on dynamically loaded functionally graded materials: cracks along the gradient Int. J. Solids Struct. 38 2001 7839-7856
29. Rousseau C.-E. Tippur H.V. Influence of elastic variations on crack initiation in functionally graded glass-filled epoxy Eng. Fract. Mech. 69 2002 1679-1693
30. Thau S.A. Lu T.-H. Diffraction of transient horizontal shear waves by a finite crack and a finite rigid ribbon Int. J. Eng. Sci. 8 1970 857-874
31. Wang B. Han J. Du S. Dynamic fracture mechanics analysis for composite material with material nonhomogeneity in thickness direction Acta Mech. Solid Sin. 11 1998 84-93
32. Wang X.D. Meguid S.A. On the dynamic crack propagation in an interface with spatially varying elastic properties Int. J. Fractue 69 1995 87-99
33. Zhang Ch. A 2D hypersingular time-domain traction BEM for transient elastodynamic crack analysis Wave Motion 35 2002 17-40
34. Zhang Ch. Savaidis A. Savaidis G. Zhu H. Transient dynamic analysis of a cracked functionally graded material by a BIEM Comput. Mater. Sci. 26 2003 167-174
35. Zhang Ch. Savaidis A. Zhu H. A time-domain BIEM for crack analysis in functionally graded materials under impact loading Denda M. et al. Advances in Boundary Element Techniques II 2001 405-412 Hoggar Press