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Material compatibility and some understanding of the ball swaging process

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1 Author(s)
Wadhwa, S.K. ; Quantum Corp., Milpitas, CA, USA

For a ball swaging process, an attempt has been made to get a closed-form solution for in-plane deformation. Inner and outer rings and arm have been approximated as thick cylinders subjected to uniform internal pressure. Based upon plastic deformations, residual stresses are calculated for perfect elasto-plastic materials and values of retention torques have been obtained. When treated as thin cylinders, it is proved that for perfect elasto-plastic materials, the sufficient, but not necessary, simple inequality shown below, if satisfied, ensures that retention torque is positive: σy3/E3y2/E2 y1/E1 where σyi and Ei are yield stress and Young's Modulus of cylinder i. Cylinder 1 is the innermost cylinder. This has also been validated for thick cylinders, numerically; but not proven mathematically

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Magnetics, IEEE Transactions on  (Volume:32 ,  Issue: 3 )