Extended framework of Hamilton's principle in heat diffusion
- Title
- Extended framework of Hamilton's principle in heat diffusion
- Author
- 이한승
- Keywords
- Second sound effects; Extended framework of Hamilton's principle; Variational formulation; Unified space-time finite element method; Heat diffusion; FORMULATION; IRREVERSIBLE THERMODYNAMICS; VARIATIONAL-PRINCIPLES; COLLAPSE SIMULATION; THERMOELASTICITY; PROPAGATION
- Issue Date
- 2016-08
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Citation
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v. 114, Page. 166-176
- 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.
- URI
- https://www.sciencedirect.com/science/article/pii/S0020740316300194?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/70338
- ISSN
- 0020-7403
- DOI
- 10.1016/j.ijmecsci.2016.04.007
- Appears in Collections:
- COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > ARCHITECTURE(건축학부) > Articles
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