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- W2076071837 abstract "Abstract A method for analysis of internal cracks using finite elements is presented. The analysis is based on the potential energy release rate which is determined as a function of the crack shape. For an elliptic crack subjected to a cyclical loading the crack-growth is found by integrating the energy release rates associated with incremental extensions of the half axes. As examples, internal elliptical cracks located centrically and eccentrically in a thick plate are analyzed. The plate is modelled by 20-node isoparametric solid elements. A condensation of degrees of freedom is performed so that only the freedoms necessary for defining the geometry of the growing crack are retained. Elliptic shapes with only one axis of symmetry are allowed to develop. The potential energy is calculated for different crack shapes and a least square smoothing technique is used for finding the energy release rates associated with growth of the half axes of the ellipse. The results obtained for a centric crack are compared with analytical expressions for a through centercrack and for an elliptic crack in an infinite body under uniaxial tension. In general good agreement between the different methods is observed. The energy release rates are integrated according to Paris's crack growth formula, and the geometry of the growing crack is visualized by plots of the crack periphery for prescribed numbers of load cycles." @default.
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- W2076071837 date "1977-08-01" @default.
- W2076071837 modified "2023-10-03" @default.
- W2076071837 title "Calculation of fatigue growth of internal cracks" @default.
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- W2076071837 doi "https://doi.org/10.1016/0029-5493(77)90138-8" @default.
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