Drawing with a Thick-Walled Product Thinning Exposed to Viscoplasticity

Abstract

The paper considers an option in computing kinematics of the material flow and force parameters in a drawing operation with thinning the thick-walled products. Heating the deformation zone is applied in shaping the workpieces made of the high-strength materials. The deformed material is prone to hardening and softening (relaxation), i.e., it is a subject to viscoplasticity. For the given deformation, the stress relaxation depends on the strain rate and, consequently, on the drawing velocity. The drawing force parameters are computed using the extremal upper-bound plasticity theorem; it is expressed in terms of the external and internal forces power. The constitutive relations are derived in accordance with the deformation kinematics. The kinematic scheme is constructed using the discontinuous velocity displacement field in the axisymmetric formulation. The velocity field consists of rigid blocks, deformation block, and velocity discontinuity surfaces. The paper determines relationships to compute power in the deformation block and on the discontinuity surface. Force parameters of the thinning drawing operation for the workpieces made of the AMg6 and VT6s high-strength alloys are computed using the deformation zone heating. Graphs are constructed to illustrate alteration in the specific thinning drawing force depending on the operation velocity. The paper shows that the specific forces are decreasing with the reducing tool displacement velocity. It notes also that reducing the deformation rate contributes to a decrease in the continuity loss level of the workpiece material

Please cite this article in English as:

Platonov V.I., Chernyaev A.V. Drawing with a thick-walled product thinning exposed to viscoplasticity. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2025, no. 4 (155), pp. 90--101 (in Russ.). EDN: IPYQZG

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