Abstract
A stretch flanging operation on a flat circular sheet with a hole in the center has been analyzed by means of a total strain membrane theory of rigid-plasticity which incorporates strain hardening and anisotropy in the direction normal to the sheet. Numerical procedures are used to calculate the stress and strain distributions in the sheet. Numerical results so obtained indicate that the state of stress in the flange is dominantly uniaxial. By making use of this observation, an approximate theory for the stretch flanging has been developed, and a closed-form expression for the maximum strain in the flange has been obtained in terms of the geometrical variables of the flange. Experimental data, using aluminum-killed steel sheets, have been obtained and compared with the corresponding theoretical results. It was found that, for strains less than 100 per cent (which is the region of practical interest), the calculated results are in good agreement with the experimental data.
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