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The new-type traction boundary integral equations developed by Hu and with no hyper singular integral are applied to analysis of 3D finite cracked bodies. A numerical algorithm for general 3D problems and a semi-analytical one for axisymmetric problems are presented. Some examples of thick plates and cylindrical columns including penny-shaped crack(s), and rectangular plates including an elliptical crack normal to the surface are analyzed. The comparison between present results and those in literature shows the high accuracy and effectiveness of the present method.