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Mathematical Problems in Engineering
Volume 2017, Article ID 4278082, 6 pages
Research Article

A Consistent Relationship between the Stress and Plastic Strain Components and Its Application in Deep Drawing Process

School of Mechanical Engineering, Tongji University, Shanghai 201804, China

Correspondence should be addressed to Yong Zhang; moc.kooltuo@yz_ulg

Received 9 November 2016; Accepted 15 December 2016; Published 11 January 2017

Academic Editor: Hakim Naceur

Copyright © 2017 Yong Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


As von Mises yield criterion and associated flow rule (AFR) are widely applied in metal forming field, a semitotal deformation consistent relationship between the stress and plastic strain components and the rule of dimensional changes of metal forming processes in a plane-stress state are obtained on the basis of them in this paper. The deduced consistent relationship may be easily used in forming interval of the workpiece. And the rule of dimensional changes can be understood through three plastic strain incremental circles on which the critical points can be easily determined on the same basis. Analysis of stress and plastic strain evolution of aluminum warm deep drawing process is conducted, and the advantage of nonisothermal warm forming process is revealed, indicating that this method has the potential in practical large deformation applications.