Extended framework of Hamilton's principle in heat diffusion
- Authors
- Kim, Jinkyu; Dargush, Gary F.; Lee, Han Seung
- Issue Date
- Aug-2016
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Extended framework of Hamilton' s principle; Variational formulation; Unified space-time finite element method; Heat diffusion; Second sound effects
- Citation
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v.114, pp.166 - 176
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
- Volume
- 114
- Start Page
- 166
- End Page
- 176
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/13142
- DOI
- 10.1016/j.ijmecsci.2016.04.007
- ISSN
- 0020-7403
- Abstract
- Based upon the extended framework of Hamilton's principle, a variational formulation in heat diffusion, as well as second sound phenomena is developed. This formulation is compatible with the initial and boundary conditions of a well-posed heat problem, and it correctly accounts for the governing partial differential equations, as its Euler-Lagrange equations. Thus, this new formulation provides a sound base to develop various unified space-time finite element methods. In order to validate the finite element representation over both space and time in the context of this formulation, two-dimensional lower-order space-time finite element methods are also developed with numerical investigations on representative examples. (C) 2016 Published by Elsevier Ltd.
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