UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Direct stress computations in arbitrarily shaped thin shells and elliptic bulge tests

Suleman, Khurram; Bosi, Federico; (2022) Direct stress computations in arbitrarily shaped thin shells and elliptic bulge tests. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 478 (2268) , Article 20220619. 10.1098/rspa.2022.0619. Green open access

[thumbnail of rspa.2022.0619.pdf]
Preview
PDF
rspa.2022.0619.pdf - Published Version

Download (2MB) | Preview

Abstract

Most of engineering and biological thin shell structures are characterized by non-axisymmetric and statically indeterminate configurations, which often require the knowledge of the constitutive material model to determine the stress state. In this work, a forward elastostatic method is introduced for the direct stress measurements in elastic homogeneous thin shells of arbitrary shape. The stress distribution is proven to be independent of the material properties for incompressible solids, while in compressible materials it depends only on the Poisson’s ratio, which is shown to have a negligible influence on the stress state. Hence, the proposed technique enables the direct assessment of the stress field in statically indeterminate thin shells without a known material model. The shell formulation is implemented using the finite difference method to independently measure the stresses during finite inflation of planar elliptical membranes and from the deformed shapes obtained through digital image correlation during bulge tests on a hyperelastic material, showing very good agreement with finite-element predictions and the applicability of the method to nonlinear elastic materials. Therefore, the procedure can be coupled with imaging techniques for the direct assessment of stresses in thin shell structures and in the identification of material parameters through non-axisymmetric bulge tests.

Type: Article
Title: Direct stress computations in arbitrarily shaped thin shells and elliptic bulge tests
Open access status: An open access version is available from UCL Discovery
DOI: 10.1098/rspa.2022.0619
Publisher version: https://doi.org/10.1098/rspa.2022.0619
Language: English
Additional information: © 2022 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10161833
Downloads since deposit
46Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item