Abstract
Finite deformation theory for axisymmetric elastic-plastic sheet bending is developed. The theory incorporates transverse shear deformation by adopting the extended Kirchhoff-Love's hypothesis, i.e. during bending deformation, a line element normal to the undeformed mid-surface is allowed to change the angle between itself and the mid-surface while its straightness is retained. A new idea, called “equivalent curvature”, is proposed which plays a similar role to the curvature in conventional plate bending theory but incorporates the effects of transverse shear deformation. Numerical calculations based on this theory have been performed for two examples of sheet-forming processes, i.e. the hydrostatic bulging of a circular sheet and the U-type sheet-bending process. Results show that the proposed theory can predict more precise information concerning the forming processes for a moderately thick sheet than the conventional sheet bending theory which ignores transverse shear deformation.
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