A Deformational and Configurational Framework for Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion
Steinmann P, McBride A, Bargmann S, Javili A (2011)
Publication Type: Journal article
Publication year: 2011
Journal
Publisher: Elsevier
Book Volume: 47
Pages Range: 215-227
Journal Issue: 2
DOI: 10.1016/j.ijnonlinmec.2011.05.009
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.
Authors with CRIS profile
Paul Steinmann
Lehrstuhl für Technische Mechanik
Andrew McBride
Lehrstuhl für Technische Mechanik
Ali Javili
Lehrstuhl für Technische Mechanik
Involved external institutions
Germany (DE)How to cite
APA:
Steinmann, P., McBride, A., Bargmann, S., & Javili, A. (2011). A Deformational and Configurational Framework for Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion. International Journal of Non-Linear Mechanics, 47(2), 215-227. https://dx.doi.org/10.1016/j.ijnonlinmec.2011.05.009
MLA:
Steinmann, Paul, et al. "A Deformational and Configurational Framework for Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion." International Journal of Non-Linear Mechanics 47.2 (2011): 215-227.
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