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Applications of planar anisotropic yield criteria to porous sheet metal forming simulations
Authors:K-C Liao
Institution:1. Department of Materials Science and Engineering, Korea University, Seoul 136-713, Republic of Korea;2. Light Metal Division, Korea Institute of Materials Science, Changwon 641-010, Republic of Korea;1. Graduate School at Shenzhen, Harbin Institute of Technology, Harbin 150001, PR China;2. Centre for Infrastructure Engineering, School of Computing, Engineering and Mathematics, Western Sydney University, Penrith, NSW 2751, Australia;3. Architectural Engineering Institute, Jinling Institute of Technology, Nanjing 211169, PR China;1. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin, China;2. School of Mechanical Engineering, Beihua University, JiLin, China;1. Université Paris-Est, Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France;2. Université de Lille I, Laboratoire de Mécanique de Lille, LML UMR 8107 CNRS, Cité Scientifique, Bd. Paul Langevin, 59655 Villeneuve d’Ascq, France;3. Université Pierre et Marie Curie (UPMC), Institut D’Alembert, UMR 7190 CNRS, 4, Place Jussieu, 75252 Paris Cedex 05, France;1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156, Iran;2. CERTETA Research Centre, Technical University of Cluj-Napoca, 28 Memorandumului, 400114 Cluj-Napoca, Romania
Abstract:Planar anisotropic yield functions, with rounded vertexes especially near the equal-biaxial direction of the corresponding yield loci, appropriate for some structure metals are employed for the matrix surrounding voids in the present study. The widely adopted Hill anisotropic yield functions are also implemented into the matrix for comparisons. Mechanisms of the void growth, void nucleation, and void coalescence are simultaneously considered here. Effects of the yield function of the corresponding matrix on the sheet metal under two typical sheet forming operations, a hemispherical punch stretching operation and a cup drawing operation, are investigated via a finite element analysis. Thickness strains in various orientations of the sheet are then evaluated. Simulation results show that the yield function of the corresponding matrix plays important roles on the strain distribution and the strain localization as well. Early localization would be found for the sheet with relatively small initial void volume fraction in two operations. Yield functions of the matrix rather influence the earing phenomenon under the cup drawing procedure even similar displacement profiles of the outer boundary could be observed.
Keywords:
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