Strain Distribution in the Bending-Under-Tension Test

CIM Bulletin, Vol. 70, No. 781, 1977

D. K. Uko, R. Sowerby and J. L. Duncan, Department of Mechanical Engineering, McMaster University, Hamilton, Ontario

In the stretch-bend or bending-under-tension test, a strip is rigidly clamped and restrained at each end and bent by central transverse loading using a radiused punch. The strip deflection at failure has been used as a measure of formability for high-strength low-alloy (HSLA) steels by other investigators. In this work, a detailed study is made of strains developing during stretch bending of an 80,000 Ibf/in2 (552 MPa) yield stress steel using different punch radii. It is shown that toward the end of the process, the bending strains at both the inner and outer surfaces are tensile and suddenly increase at a rapid and approximately equal rate. The strain ratio in the failure region departs significantly from plane strain, even using a large width-to-thickness ratio of about 10. The effective fracture strains appear to be independent of bend ratio (punch radius/thickness) and significantly below the fracture strain in simple tension. Metallo graphic and tensile data were obtained for the subject material and, for one bend ratio, the effects on stretch-bend parameters of annealing both on this material and a carbon steel were compared.
Keywords: Metallurgy, Materials engineering, Strain distribution, Bending-under-tension test, HSLA steels, Tensile tests, Stretch-bend test.