Extended framework of Hamilton's principle for continuum dynamics
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jinkyu | - |
dc.contributor.author | Dargush, Gary F. | - |
dc.contributor.author | Ju, Young-Kyu | - |
dc.date.accessioned | 2021-09-05T20:58:07Z | - |
dc.date.available | 2021-09-05T20:58:07Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2013-10 | - |
dc.identifier.issn | 0020-7683 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/102108 | - |
dc.description.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. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | FINITE-ELEMENT METHODS | - |
dc.subject | DISCONTINUOUS GALERKIN METHOD | - |
dc.subject | SPACE-TIME EXPANSION | - |
dc.subject | VARIATIONAL-PRINCIPLES | - |
dc.subject | COLLAPSE SIMULATION | - |
dc.subject | ELASTODYNAMICS | - |
dc.subject | EQUATIONS | - |
dc.subject | FORMULATIONS | - |
dc.subject | DOMAIN | - |
dc.subject | FLOW | - |
dc.title | Extended framework of Hamilton's principle for continuum dynamics | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Jinkyu | - |
dc.contributor.affiliatedAuthor | Ju, Young-Kyu | - |
dc.identifier.doi | 10.1016/j.ijsolstr.2013.06.015 | - |
dc.identifier.scopusid | 2-s2.0-84880732551 | - |
dc.identifier.wosid | 000323015400032 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v.50, no.20-21, pp.3418 - 3429 | - |
dc.relation.isPartOf | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | - |
dc.citation.title | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | - |
dc.citation.volume | 50 | - |
dc.citation.number | 20-21 | - |
dc.citation.startPage | 3418 | - |
dc.citation.endPage | 3429 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.subject.keywordPlus | FINITE-ELEMENT METHODS | - |
dc.subject.keywordPlus | DISCONTINUOUS GALERKIN METHOD | - |
dc.subject.keywordPlus | SPACE-TIME EXPANSION | - |
dc.subject.keywordPlus | VARIATIONAL-PRINCIPLES | - |
dc.subject.keywordPlus | COLLAPSE SIMULATION | - |
dc.subject.keywordPlus | ELASTODYNAMICS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | FORMULATIONS | - |
dc.subject.keywordPlus | DOMAIN | - |
dc.subject.keywordPlus | FLOW | - |
dc.subject.keywordAuthor | Hamilton&apos | - |
dc.subject.keywordAuthor | s principle | - |
dc.subject.keywordAuthor | Initial conditions | - |
dc.subject.keywordAuthor | Mixed formulation | - |
dc.subject.keywordAuthor | Continua dynamics | - |
dc.subject.keywordAuthor | Space-time finite element | - |
dc.subject.keywordAuthor | Non-iterative algorithm | - |
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