Transient Elastodynamic Crack Growth in Functionally Graded Materials
- Department of Mechanical Engineering, University of Massachusetts Dartmouth North Dartmouth, MA 02747 (United States)
A generalized elastic solution for an arbitrarily propagating transient crack in Functionally Graded Materials (FGMs) is obtained through an asymptotic analysis. The shear modulus and mass density of the FGM are assumed to vary exponentially along the gradation direction. The mode-mixity due to the inclination of property gradient with respect to the propagating crack tip is accommodated in the analysis through superposition of the opening and shear modes. First three terms of out of plane displacement field and its gradients about the crack tip are obtained in powers of radial coordinates, with the coefficients depending on the time rate of change of crack tip speed and stress intensity factors. Using these displacement fields, the effect of transient stress intensity factors and acceleration on synthetic contours of constant out of plane displacement under both opening and mixed mode loading conditions has been studied. These contours show that the transient terms cause significant spatial variation on out of plane displacements around the crack tip. Therefore, in studying dynamic fracture of FGMs, it is appropriate to include the transient terms in the field equations for the situations of sudden variation of stress intensity factor or crack tip velocity.
- OSTI ID:
- 21055257
- Journal Information:
- AIP Conference Proceedings, Vol. 973, Issue 1; Conference: M and FGM 2006: Conference on multiscale and funtionally graded materials 2006, Oahu Island, HI (United States), 15-18 Oct 2006; Other Information: DOI: 10.1063/1.2896818; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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