Computational thermomechanics with boundary structures

Steinmann, P. and Javili, A. (2013) Computational thermomechanics with boundary structures. In: Cocks, A. and Wang, J. (eds.) IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures. Series: IUTAM bookseries (31). Springer: Dordrecht. ISBN 9789400749108 (doi: 10.1007/978-94-007-4911-5_16)

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Abstract

This contribution is concerned with the numerical implementation of boundary potential energies and the study of their impact on the deformations of thermomechanical solids. Although boundary effects can play a dominant role in material behavior, the common modelling in continuum mechanics takes exclusively the bulk into account, nevertheless, neglecting possible contributions from the boundary. In the approach of this contribution the boundary is equipped with its own thermodynamic life, i.e. we assume separate boundary energy, entropy and the like. Furthermore, the generalized local balance laws are given according to Javili and Steinmann (Int J Solids Struct, 47:3245–3253, 2010). Afterwards, derivations of a generalized weak formulation which is employed for the discretization and finite element implementation, including boundary potentials, are carried out completely based on a tensorial representation. Finally, numerical examples are presented to demonstrate the boundary effects due to the proposed thermohyperelastic material model.

Item Type:Book Sections
Additional Information:Online ISBN: 9789400749115.
Status:Published
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Steinmann, P., and Javili, A.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:IUTAM Bookseries
Publisher:Springer
ISBN:9789400749108
Published Online:30 July 2012
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