Geometrically nonlinear continuum thermomechanics coupled to diffusion: a framework for case II diffusion

McBride A, Bargmann S, Steinmann P (2011)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2011

Journal

Lecture Notes in Applied and Computational Mechanics Springer Verlag

Publisher: Springer Verlag

Edited Volumes: Advances in Extended and Multifield Theories for Continua

Series: Lecture Notes in Applied and Computational Mechanics

City/Town: Berlin

Book Volume: 59

Pages Range: 89-107

ISBN: 9783642227370

URI: http://www.springerlink.com/content/660628786906r687/

DOI: 10.1007/978-3-642-22738-7_5

Abstract

This chapter introduces a geometrically nonlinear, continuum thermomechanical framework for case II diffusion: a type of non-Fickian diffusion characterized by the wave-like propagation of a low-molecular weight solvent in a polymeric solid. The key objective of this contribution is to derive the coupled system of governing equations describing case II diffusion from fundamental balance principles. A general form for the Helmholtz energy is proposed and the resulting constitutive laws are derived from logical, thermodynamically consistent argumentation. The chapter concludes by comparing the model developed here to various others in the literature. The approach adopted to derive the governing equations is not specific to case II diffusion, rather it encompasses a wide range of applications wherein heat conduction, species diffusion and finite inelastic effects are coupled. The presentation is thus applicable to the generality of models for non-Fickian diffusion: an area of increasing research interest. © 2011 Springer-Verlag Berlin Heidelberg.

Authors with CRIS profile

Andrew McBride Lehrstuhl für Technische Mechanik (LTM) Paul Steinmann Lehrstuhl für Technische Mechanik (LTM)

Involved external institutions

Technische Universität Hamburg-Harburg (TUHH) DE Germany (DE)

How to cite

APA:

McBride, A., Bargmann, S., & Steinmann, P. (2011). Geometrically nonlinear continuum thermomechanics coupled to diffusion: a framework for case II diffusion. In Advances in Extended and Multifield Theories for Continua. (pp. 89-107). Berlin: Springer Verlag.

MLA:

McBride, Andrew, Swantje Bargmann, and Paul Steinmann. "Geometrically nonlinear continuum thermomechanics coupled to diffusion: a framework for case II diffusion." Advances in Extended and Multifield Theories for Continua. Berlin: Springer Verlag, 2011. 89-107.

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