A stress integration algorithm for plane stress elastoplasticity and its applications to explicit finite element analysis of sheet metal forming processes

A finite element formulation based on non-associated plasticity for sheet metal forming

“…7-9 show the calculated iso-error maps for anisotropic material formulations under the associated or non-associated flow rule. For the formulations based on the associated flow rule, the magnitudes of errors are comparable to the results reported in literature (Yoon et al, 1999;Lee et al, 1998). For the isotropic formulation, the exact solutions are obtained for the loading directed along the yield surface symmetry axis, as shown for points B and C at Fig.…”

A study on the bi-directional springback of sheet metal stamping

“…Using the GCPP algorithm, a trial stress point is relaxed to the real closest stress point of the yield surface in the principal stress plane, which allows more treatment in stress integration. The detailed formulation and iso-error maps of the GCPP algorithm is shown in [2].…”

On a numerical implementation of a formulation of anisotropic continuum elastoplasticity at finite strains

“…5-7 show the error of the numerical procedure for the three different load cases named A, B and C. As can be observed in all three cases the error is not larger than 3%. For example, in [8] largest error is up to 20%, in [1] it is between 1.4% and 3.5% or in [2] between 5% and 20%. However, it should be mentioned that while the first paper is isotropic in nature, the two others consider anisotropy within the small strain regime only.…”