A generalized standard material model is developed for ductile materials containing aligned defects with arbitrary shape under self-similar expansion based on the work of Nguyen and Bui [Sur les materiaux elastoplastiques a ecrouissage positif et negatif. J. Mecanique 13, 321 (1974)] and Rousselier [Finite deformation constitutive relations including ductile fracture damage, in Three-dimensional Constitutive Equations and Ductile Fracture (Edited by S. Nemat-Nasser), pp. 331–355, North-Holland (1981)]. The influence of defect shape on damage evolution and instability of the material is investigated. The finite element calculation is made for notched and cracked specimens, with microvoid and microcrack damage. The result shows that the defect shape has significant influence on the fracture initiation and crack growth behavior. The present model is also applied to predict the J-resistance curve of a CT specimen for an aged duplex stainless steel, and the results are in good agreement with the experiment.
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