POSTER REFERENCE: ICF100528PR NUMERICAL REPRESENTATION OF PLASTIC J-INTEGRAL VARIATION ALONG THE CRACK FRONT OF SEMI-ELLIPTICAL SURFACE CRACK UNDER UNIFORM TENSION.

A mathematical form that represents the average plastic J-integral over the crack front of a semi-elliptical surface crack under uniform tension has been recently developed by the author. The form provides an estimate for the average plastic J-Integral at any stage of loading for wide array of surface crack geometries and material's hardening exponent. The purpose of this study is to introduce a numerical representation of the variation of the local plastic J-integral along the crack front. This is developed by studying the relationship between the average plastic J-integral and the local plastic J-integral at any point of the crack front. This relationship depends on the parametric angle, crack depth, crack width, and probably also geometry thickness to width ratio and the material hardening exponent. A wide array of crack geometries are used in this study. The crack depth to geometry thickness ratio varied from a shallow crack with a ratio of 0.1 to a deep crack with a ratio of 0.82. The crack depth to crack width ratio ranged from a narrow crack with a ratio of 2.0 to a wide crack with a ratio of 0.5. The finite element method has been used to develop the different models. About 35 different cases are included in the study to encompass the wide variation in the studied parameters