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

International Journal of Non-Linear Mechanics Elsevier

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 (LTM) Andrew McBride Lehrstuhl für Technische Mechanik (LTM) Ali Javili Lehrstuhl für Technische Mechanik (LTM)

Involved external institutions

Technische Universität Hamburg-Harburg (TUHH) DE 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://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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