Journal
METALS
Volume 12, Issue 1, Pages -Publisher
MDPI
DOI: 10.3390/met12010118
Keywords
strain-hardening; viscoplasticity; bending; semi-analytic solution
Funding
- Russian Science Foundation [20-69-46070]
- Russian Science Foundation [20-69-46070] Funding Source: Russian Science Foundation
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The present paper presents an accurate solution for finite plane strain bending of a rigid/plastic sheet under tension using a general material model for strain-hardening viscoplastic materials. The study shows that the loading speed parameter has a significant effect on the bending moment and stress distribution.
The present paper provides an accurate solution for finite plane strain bending under tension of a rigid/plastic sheet using a general material model of a strain-hardening viscoplastic material. In particular, no restriction is imposed on the dependence of the yield stress on the equivalent strain and the equivalent strain rate. A special numerical procedure is necessary to solve a non-standard ordinary differential equation resulting from the analytic treatment of the boundary value problem. A numerical example illustrates the general solution assuming that the tensile force vanishes. This numerical solution demonstrates a significant effect of the parameter that controls the loading speed on the bending moment and the through-thickness distribution of stresses.
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