Journal: International Journal of Material Forming

Article Title: Analysis of ESAFORM 2021 cup drawing benchmark of an Al alloy, critical factors for accuracy and efficiency of FE simulations

doi: 10.1007/s12289-022-01672-w

Figure Lengend Snippet: Comparison between experimental and predicted results by Yld2004–18p criterion with data set of POSTECH, using ABAQUS explicit (POSTECH VUMAT) and with data set of NTNU for their own UMAT implementation in ABAQUS (see “ ” Section (Table )): ( a ) punch force-displacement, ( b ) earing profile

Article Snippet: The components of the plastic strain rate vector are then calculated by: 25 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\displaystyle \begin{array}{c}{\dot{e}}_x^{\mathrm{P}}=\frac{1}{\sqrt{2}}{\dot{e}}_1^{\mathrm{P}}+\frac{1}{\sqrt{6}}{\dot{e}}_2^{\mathrm{P}}\\ {}{\dot{e}}_y^{\mathrm{P}}=-\frac{1}{\sqrt{2}}{\dot{e}}_1^{\mathrm{P}}+\frac{1}{\sqrt{6}}{\dot{e}}_2^{\mathrm{P}}\\ {}\begin{array}{c}{\dot{e}}_z^{\mathrm{P}}=-{\dot{e}}_x^{\mathrm{P}}-{\dot{e}}_y^{\mathrm{P}}\\ {}{\dot{e}}_{xy}^{\mathrm{P}}=\frac{1}{\sqrt{2}}{\dot{e}}_3^{\mathrm{P}}\end{array}\end{array}}$$\end{document} ė x P = 1 2 ė 1 P + 1 6 ė 2 P ė y P = − 1 2 ė 1 P + 1 6 ė 2 P ė z P = − ė x P − ė y P ė x y P = 1 2 ė 3 P The Facet expression is further used within a VUMAT user material routine of ABAQUS/Explicit [ ] for the cup drawing simulations.

Techniques: Comparison