Steinmann, P. (2002) On spatial and material settings of thermo-hyperelastodynamics. Journal of Elasticity, 66(2), pp. 109-157. (doi: 10.1023/A:1021233322132)
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Abstract
The relevant relations pertaining to thermo-hyperelastodynamics are developed in spatial and material setting. These are besides the kinematics essentially the appropriate formulations of the balance of momentum and the resulting balance of kinetic energy for the mechanical part and the balances of energy and entropy for the thermodynamical part. The attempt is here to mirror the thermodynamics underlying the spatial setting by the corresponding thermodynamics of the material setting. Thus a number of interesting and new relations between the two settings or rather motion problems, that would have been overlooked otherwise, are discovered. Summarizing, the main aim of this work is twofold: on the one hand to highlight the intriguing duality of the spatial and the material setting of thermo-hyperelastodynamics and on the other hand to provide the necessary tools for an elegant transition between these two settings. Thereby, the underlying strong interest of the material setting rests in particular in the interpretation of the corresponding material forces as the thermodynamical driving quantities for the motion of general defects relative to the ambient material.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Journal of Elasticity |
| Publisher: | Springer |
| ISSN: | 0374-3535 |
| ISSN (Online): | 1573-2681 |
| Related URLs: |
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