Experimental investigation and finite element modeling of hemispherically stretched steel sheet

Hemispherical stretching experiments and corresponding finite element modeling (FEM) were performed on three aluminum-killed (AK) steels. Strain distributions measured from photogrids on the specimen surface were compared to those predicted by a three-dimensional (3-D), membrane, rigid-viscoplastic FEM program. The material model uses Hill's nonquadratic theory for normal anisotropy and Coulomb friction. The new anisotropy coefficient,M, and friction coefficient, μ, have opposite effects on the strain distribution. Balanced, biaxial simulations of highM materials required unrealistically high friction coefficients to produce agreement with measured strains. The discrepancies call into question the validity of Hill's nonquadratic yield surface and the method of measuringM. J.R. KNIBLOE, formerly Graduate Student, Department of Materials Science and Engineering, The Ohio State University