The University of Southampton
University of Southampton Institutional Repository

An analytical model for predicting permanent plastic deflection and strain distributions in aluminium-alloy plates under low velocity impact loading

An analytical model for predicting permanent plastic deflection and strain distributions in aluminium-alloy plates under low velocity impact loading
An analytical model for predicting permanent plastic deflection and strain distributions in aluminium-alloy plates under low velocity impact loading
This paper proposes a new analytical model to predict plastic deformation and strain distributions in aluminium-alloy plates under low velocity impact loadings. The low velocity impact load on the fully clamped circular plate was idealized as a quasi-static normal point force acting at the center of plate. Based on apt geometrical approximation and assumptions, governing equations were established to predict the out-of-plane deflection and the radial tensile, radial and circumferential flexure strains in fully clamped conditions. From the deformation theory of plasticity, a new formula was derived to estimate the impact load by incorporating strain-energy approach, bilinear strain-hardening constitutive model and the one-dimensional Tresca yield criterion. Low velocity impact tests were performed to confirm the proposed model and good correlation was achieved between the predictions and actual experiments, demonstrating the practical and effective use of the proposed model.
yield, constitutive relation, aluminium-alloy plate, impact, strain energy
0954-4062
Bai, J.B.
1d159fa1-1fcd-457b-99b7-424dd344cca1
Xiong, J.J.
785d6bd7-e6a1-472c-ae43-484f28d646eb
Shenoi, R.A.
a37b4e0a-06f1-425f-966d-71e6fa299960
Liu, M.
80d30112-2527-4dfb-830f-0b8a70ddb929
Bai, J.B.
1d159fa1-1fcd-457b-99b7-424dd344cca1
Xiong, J.J.
785d6bd7-e6a1-472c-ae43-484f28d646eb
Shenoi, R.A.
a37b4e0a-06f1-425f-966d-71e6fa299960
Liu, M.
80d30112-2527-4dfb-830f-0b8a70ddb929

Bai, J.B., Xiong, J.J., Shenoi, R.A. and Liu, M. (2017) An analytical model for predicting permanent plastic deflection and strain distributions in aluminium-alloy plates under low velocity impact loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. (doi:10.1177/0954406217726564).

Record type: Article

Abstract

This paper proposes a new analytical model to predict plastic deformation and strain distributions in aluminium-alloy plates under low velocity impact loadings. The low velocity impact load on the fully clamped circular plate was idealized as a quasi-static normal point force acting at the center of plate. Based on apt geometrical approximation and assumptions, governing equations were established to predict the out-of-plane deflection and the radial tensile, radial and circumferential flexure strains in fully clamped conditions. From the deformation theory of plasticity, a new formula was derived to estimate the impact load by incorporating strain-energy approach, bilinear strain-hardening constitutive model and the one-dimensional Tresca yield criterion. Low velocity impact tests were performed to confirm the proposed model and good correlation was achieved between the predictions and actual experiments, demonstrating the practical and effective use of the proposed model.

Text
AS v1_R1_Impact on thin plate - Accepted Manuscript
Download (1MB)

More information

Accepted/In Press date: 21 July 2017
e-pub ahead of print date: 23 August 2017
Keywords: yield, constitutive relation, aluminium-alloy plate, impact, strain energy

Identifiers

Local EPrints ID: 412772
URI: https://eprints.soton.ac.uk/id/eprint/412772
ISSN: 0954-4062
PURE UUID: 2dc8c3d4-1411-4d6d-b594-5f4e3ea99259

Catalogue record

Date deposited: 01 Aug 2017 16:31
Last modified: 20 Jul 2019 04:57

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.

×