Computational thermomechanics with boundary structures

Steinmann P, Javili A (2013)

Publication Type: Conference contribution

Publication year: 2013

Publisher: Springer Verlag

Book Volume: 31

Pages Range: 179-191

Conference Proceedings Title: IUTAM Bookseries

Event location: Beijing, CHN

ISBN: 9789400749108

DOI: 10.1007/978-94-007-4911-5_16


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.

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How to cite


Steinmann, P., & Javili, A. (2013). Computational thermomechanics with boundary structures. In Alan Cocks, Jianxiang Wang (Eds.), IUTAM Bookseries (pp. 179-191). Beijing, CHN: Springer Verlag.


Steinmann, Paul, and Ali Javili. "Computational thermomechanics with boundary structures." Proceedings of the IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures, 2010, Beijing, CHN Ed. Alan Cocks, Jianxiang Wang, Springer Verlag, 2013. 179-191.

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