Response and residual curvature of bent-stretched circular rods with applications to metal forming: closed-form solutions for elastic-perfectly plastic and hyperbolic hardening materials
Response and residual curvature of bent-stretched circular rods with applications to metal forming: closed-form solutions for elastic-perfectly plastic and hyperbolic hardening materials
Here we develop an analytical expression for the curvature of rods of circular cross-section, when subjected to
combined bending and axial force. Small deformations are assumed here so that the deflections are small
compared to the cross-sectional dimensions. An enhanced material constitutive law having a linear elastic part
followed by smoothly matched hyperbolic hardening is proposed. Analysis for two material models are presented
which includes elastic-perfectly plastic material as well as hardening. The effects of the axial force on the
response and springback are analytically assessed. The analysis is then applied to the bending of rods of circular
cross-section. The analytical results are in excellent agreement with numerical calculations.
1-10
Bonfanti, Alessandra
768159f2-5e29-4e50-8c0b-c4ee0b6decae
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bonfanti, Alessandra
768159f2-5e29-4e50-8c0b-c4ee0b6decae
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bonfanti, Alessandra, Syngellakis, Stavros and Bhaskar, Atul
(2016)
Response and residual curvature of bent-stretched circular rods with applications to metal forming: closed-form solutions for elastic-perfectly plastic and hyperbolic hardening materials.
International Journal of Mechanical Sciences, .
(doi:10.1016/j.ijmecsci.2016.12.001).
Abstract
Here we develop an analytical expression for the curvature of rods of circular cross-section, when subjected to
combined bending and axial force. Small deformations are assumed here so that the deflections are small
compared to the cross-sectional dimensions. An enhanced material constitutive law having a linear elastic part
followed by smoothly matched hyperbolic hardening is proposed. Analysis for two material models are presented
which includes elastic-perfectly plastic material as well as hardening. The effects of the axial force on the
response and springback are analytically assessed. The analysis is then applied to the bending of rods of circular
cross-section. The analytical results are in excellent agreement with numerical calculations.
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Accepted/In Press date: 1 December 2016
e-pub ahead of print date: 3 December 2016
Organisations:
Aeronautics, Astronautics & Comp. Eng
Identifiers
Local EPrints ID: 404948
URI: http://eprints.soton.ac.uk/id/eprint/404948
ISSN: 0020-7403
PURE UUID: ec7bc830-4584-415e-b3de-723522a268e8
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Date deposited: 25 Jan 2017 11:16
Last modified: 15 Mar 2024 06:15
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Contributors
Author:
Alessandra Bonfanti
Author:
Stavros Syngellakis
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