Papers by Keyword: Wedge Shaped Model

Abstract: The stress field of an interfacial crack in non-homogeneous materials is computed using the semi-analytical method of arbitrary lines (MAL). Then, the eigen-functions of stress, strain and displacement, i.e. the angular distribution functions near a crack tip, are analyzed based on our wedge-shape non-homogeneous model. Finally, the growing direction of the interfacial crack is determined according to the relevant maximum normal stress criterion accurately. Therefore, the effective approach is provided for solving the complicated crack growing directions of an interfacial crack in non-homogeneous materials.

Abstract: The effect of different continuous material parameter functions in the non-homogeneous region on the eigen-functions of crack tip fields is studied by means of the semi-analytical numerical method based on the wedge shaped non-homogeneous sector model. The cases of the different opening angles of the non-homogeneous region, the different dissimilar material ratios, the different configurations, etc. are analyzed systematically. The result shows that the effect becomes smaller as the opening angle of the wedge shaped non-homogeneous sector becomes smaller. The valuable conclusion is drawn that the differences among the eigen-functions corresponding to the cases can be neglected as long as the opening angle is small enough for the engineering application, which facilitates the engineering application of the non-homogeneous region model.