Abstract
A computational method for predicting the onset of buckling during the general forming processes of thin-walled bodies is presented. The bodies are assumed to be thin enough and to deform in accordance with the membrane stress condition until the onset of buckling. Hill's general theory of uniqueness and bifurcation, and Naghdi's linear thin-shell theory in conjunction with finite element approximation are employed to formulate this problem. The method presented here has been specified in order to clarify the effects of boundary conditions and material characteristics on the onset of buckling of thin sheet metal subjected to rolling operations.
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