The University of Southampton
University of Southampton Institutional Repository

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
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.
0020-7403
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, 1-10. (doi:10.1016/j.ijmecsci.2016.12.001).

Record type: Article

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.

Text
__filestore.soton.ac.uk_users_ajw1u16_mydocuments_AAA_Atul_3513_201701001217211628_ProfBhaskar.pdf - Version of Record
Restricted to Repository staff only
Request a copy
Text
1-s2.0-S0020740316309687-main.pdf - Accepted Manuscript
Download (837kB)

More information

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: https://eprints.soton.ac.uk/id/eprint/404948
ISSN: 0020-7403
PURE UUID: ec7bc830-4584-415e-b3de-723522a268e8

Catalogue record

Date deposited: 25 Jan 2017 11:16
Last modified: 15 Aug 2019 05:07

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×