Extended framework of Hamilton's principle for continuum dynamics
- Authors
- Kim, Jinkyu; Dargush, Gary F.; Ju, Young-Kyu
- Issue Date
- 10월-2013
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Hamilton' s principle; Initial conditions; Mixed formulation; Continua dynamics; Space-time finite element; Non-iterative algorithm
- Citation
- INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v.50, no.20-21, pp.3418 - 3429
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
- Volume
- 50
- Number
- 20-21
- Start Page
- 3418
- End Page
- 3429
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/102108
- DOI
- 10.1016/j.ijsolstr.2013.06.015
- ISSN
- 0020-7683
- Abstract
- Hamilton's principle is the variational principle for dynamical systems, and it has been widely used in mathematical physics and engineering. However, it has a critical weakness, termed end-point constraints, which means that in the weak form, we cannot use the given initial conditions properly. By utilizing a mixed formulation and sequentially assigning initial conditions, this paper presents a novel extended framework of Hamilton's principle for continuum dynamics, to resolve such weakness. The primary applications lie in an elastic and a J(2)-viscoplastic continuum dynamics. The framework is simple, and initiates the development of a space-time finite element method with the proper use of initial conditions. Non-iterative numerical algorithms for both elasticity and J(2)-viscoplasticity are presented. (C) 2013 Elsevier Ltd. All rights reserved.
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Collections - College of Engineering > School of Civil, Environmental and Architectural Engineering > 1. Journal Articles
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