Performance assessment of locking-free finite elements for ductile fracture
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The contribution of this study is to assess the performance of locking-free finite elements for ductile fracture under severe conditions of high stress triaxiality and shear-dominated deformation. Whereas the ductile fracture is typically caused from the nucleation and growth of voids under high pressure and shear deformation, standard finite element analyses often suffer from volumetric and shear locking. To mitigate these locking phenomena, various locking-free finite elements have been proposed, such as enhanced assumed strain (EAS) method [1], one-point integration finite element combined with EAS [2], F-bar method [3] and F-bar projection method [4]. In these approaches, the deformation gradient is enhanced by the addition of the incompatible mode or by replacement the volumetric component with one-order lower one. Throughout a series of numerical examples, we compare the effect of these enhancements on the reduction of locking, as well as the softening behaviour and the strain localization in the ductile fracture.
