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Modelling of localized ductile fracture with volumetric locking‐free tetrahedral elements

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Finite element analysis of ductile fracture with tetrahedral elements faces two numerical issues: volumetric locking and mesh sensitivity. In this paper, two widely adopted remedies for volumetric locking (F‐bar and… Click to show full abstract

Finite element analysis of ductile fracture with tetrahedral elements faces two numerical issues: volumetric locking and mesh sensitivity. In this paper, two widely adopted remedies for volumetric locking (F‐bar and mixed field) are evaluated, and the superior performance of the mixed field method is demonstrated. Building on the mixed field formulation, a gradient enhancement is further incorporated to resolve the mesh sensitivity. It is shown that a localizing gradient enhancement can avoid a spurious spreading of damage induced by the conventional gradient approach. A locking‐free, regularized ductile fracture is first presented via a uniformly tapering plate example. Finally, a shear plate test on ferrite‐bainite steel is considered. Numerical results obtained with the proposed approach are shown to capture the rapid strain softening and localized shear fracture phenomenon observed experimentally.

Keywords: volumetric locking; mixed field; locking free; fracture; ductile fracture; tetrahedral elements

Journal Title: International Journal for Numerical Methods in Engineering
Year Published: 2020

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