A deformational and configurational framework for geometrically non-linear continuum thermomechanics coupled to diffusion

Steinmann, P., McBride, A. T. , Bargmann, S. and Javili, A. (2012) A deformational and configurational framework for geometrically non-linear continuum thermomechanics coupled to diffusion. International Journal of Non-Linear Mechanics, 47(2), pp. 215-227. (doi:10.1016/j.ijnonlinmec.2011.05.009)

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Abstract

A general framework encompassing both the (conventional) deformational and configurational settings of continuum mechanics is presented. A systematic application of balance principles over a migrating control volume in the undeformed configuration of the continuum body yields the system of governing equations in the bulk, on the surface and on a coherent interface within the continuum. The equations governing the response of the bulk agree with those of the conventional deformational approach. The localised balance equations are expressed in the configurational setting using a pull-back operator and reformulated in terms of the Eshelby stress. The configurational expression of the dissipation elucidates the energy loss associated with configurational changes. The general framework is introduced by considering the problem of coupled deformation, heat conduction and species diffusion within a geometrically non-linear continuum body intersected by a coherent interface. The nature of the coupling is emphasised throughout the presentation and via an example.

Item Type:Articles
Keywords:configurational mechanics
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew
Authors: Steinmann, P., McBride, A. T., Bargmann, S., and Javili, A.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Non-Linear Mechanics
Publisher:Elsevier
ISSN:0020-7462
ISSN (Online):1878-5638

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