Journal of Korean Association for Spatial Structures (한국공간구조학회논문집)

Korean Association for Spatial Structures (한국공간구조학회)
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A Temporal Finite Element Method for Elasto-Viscoplasticity through the Extended Framework of Hamilton's Principle

확장 해밀턴 이론에 근거한 탄점소성 시스템의 시간유한요소해석법

  • Kim, Jin-Kyu (Korea University, School of Civil, Environmental and Architectural Engineering)
  • 김진규 (고려대학교 건축사회환경공학부)
  • Received : 2014.02.17
  • Accepted : 2014.03.04
  • Published : 2014.03.15
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Abstract

In order to overcome the key shortcoming of Hamilton's principle, recently, the extended framework of Hamilton's principle was developed. To investigate its potential in further applications especially for material non-linearity problems, the focus is initially on a classical single-degree-of-freedom elasto-viscoplastic model. More specifically, the extended framework is applied to the single-degree-of-freedom elasto-viscoplastic model, and a corresponding weak form is numerically implemented through a temporal finite element approach. The method provides a non-iterative algorithm along with unconditional stability with respect to the time step, while yielding whole information to investigate the further dynamics of the considered system.

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References

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