Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Likely equilibria of the stochastic Rivlin cube

Mihai, Loredana Angela, Woolley, Thomas and Goriely, Alain 2018. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society of London. Series A: Mathematical and Physical Sciences , 20180068.

[img]
Preview
PDF - Accepted Post-Print Version
Available under License Creative Commons Attribution.

Download (2MB) | Preview

Abstract

The problem of the Rivlin cube is to determine the stability of all homogeneous equilibria of an isotropic incompressible hyperelastic body under equitriaxial dead loads. Here, we consider the stochastic version of this problem where the elastic parameters are random variables following standard probability laws. Uncertainties in these parameters may arise, for example, from inherent data variation between different batches of homogeneous samples, or from different experimental tests. As for the purely elastic problem, we consider the following questions: what are the likely equilibria and how does their stability depend on the material constitutive law? In addition, for the stochastic model, the problem is to derive the probability distribution of deformations, given the variability of the parameters.

Item Type: Article
Status: In Press
Schools: Mathematics
Publisher: The Royal Society
ISSN: 0080-4614
Last Modified: 23 Aug 2018 08:51
URI: http://orca.cf.ac.uk/id/eprint/112743

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics