Functionally graded penny-shaped cracks under dynamic loading

Theoretical and Applied Fracture Mechanics

Volumn 32, Issue 3, 1999, Pages 165-175

  Wang, B L ^a   Han, J C ^a   Du, S Y ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fracture mechanics; Functionally graded materials; Integral equations; Multi layers; Stress intensity factors

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE MATERIALS; CRACKS; DYNAMIC LOADS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MULTILAYERS; STIFFNESS MATRIX; STRESS INTENSITY FACTORS; TIME DOMAIN ANALYSIS;

FUNCTIONALLY GRADED MATERIALS; HANKEL TRANSFORM;

FRACTURE MECHANICS;

EID: 0033224892     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8442(99)00037-3     Document Type: Article

References (12)

1. M.K. Kassir, G.C. Sih, Three-dimensional crack problem, Mechanics of Fracture, vol. 2, Noordhoff International Publishing, New Kluwer Academic, Boston, 1975.
2. Ozturk M., Erdogan F. The anisymmetric crack problem in a nonhomogeneous medium. ASME Journal of Applied Mechanics. 60:1993;406-413.
3. Ozturk M., Erdogan F. An axisymmetric crack in bonded materials with a nonhomogeneous interfacial zone under torsion. ASME Journal of Applied Mechanics. 62:1995;116-125.
4. Ozturk M., Erdogan F. Anisymmetric crack problem in bonded materials with a graded interfacial region. International Journal of Solids and Structures. 33:1996;193-219.
5. Zuiker J.R. Functionally graded materials: Choice of micromechanics model and limitations in property variation. Comp. Engng. 5:1995;807-819.
6. B.L. Wang, J.C. Han, S.Y. Du, Multi-crack problems for non-homogeneous composites subjected to dynamic anti-plane loading, International Journal of Fracture (1999), accepted for publication.
7. B.L. Wang, J.C. Han, S.Y. Du, Crack problems in non-homogeneous composites subjected to dynamic loading, International Journal of Solids and Structures (1999), in press.
8. Durbin F. Numerical inversion of Laplace transforms: An efficient improvement to Duber and Abate's method. The Computer Journal. 17:1974;371-376.
9. Narayanan G.V., Beskos D.E. Numerical operational methods for time-dependent linear problems. International Journal for Numerical Methods Engineering. 18:1982;1829-1854.
10. G.C. Sih, E.P. Chen, Cracks in composite materials, In: G.H. Sih (Ed.), Mechanics of Fracture, Martinus Nijhoff, The Hague, 1981.
11. Jin Z.H., Noda N. Crack-tip singular fields in functionally gradient materials. Journal of Applied Mechanics. 61:1994;738-740.
12. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica. 21:1973;571-574.