Abstract
In this work, distinct algorithmic strategies for the implementation of complex anisotropic criteria in finite element codes are presented. Two different algorithm classes are presented: semi-explicit and semi-implicit procedures, trying to conjugate the best of conventional return-mapping techniques, and accounting for sub-incrementation and subdivision procedures to improve the quality of the obtained results. In the present study, two complex (non-quadratic) anisotropic yield criteria were implemented: Barlat et al. 1991 (Yld91) and Barlat et al. 2004 with 18 coefficients (Yld2004-18p). The performance of the developed algorithms is inferred in cup drawing simulations for aluminum alloys, with the convergence rate as well as the quality of the solutions being assessed, when compared to experimental results. As result, an algorithm and programming framework is provided, suitable for direct implementation in commercial finite element codes, such as Abaqus (Simulia) and Marc (MSC-Software) packages.
Published Version
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