The influence of residual stress on finite deformation elastic response

Merodio, J., Ogden, R. W. and Rodrguez, J. (2013) The influence of residual stress on finite deformation elastic response. International Journal of Non-Linear Mechanics, 56, pp. 43-49. (doi: 10.1016/j.ijnonlinmec.2013.02.010)

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Abstract

This paper is concerned with the effect of residual stress on the elastic behaviour of materials undergoing finite elastic deformations. The theory is based on a general constitutive framework for hyperelastic materials with residual stress. Several simple problems, whose solutions are known in the situation where there is no residual stress, are analyzed in order to elucidate the influence of residual stress, and the results are illustrated for two prototype constitutive laws.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Merodio, J., Ogden, R. W., and Rodrguez, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Non-Linear Mechanics
Journal Abbr.:Int. J. Non-Linear Mech.
Publisher:Elsevier
ISSN:0020-7462
ISSN (Online):1878-5638
Published Online:13 March 2013

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