• Title/Summary/Keyword: Ivanow-Ilyushin

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A nonlinear Co-rotational Quasi-Conforming 4-node Shell Element Using Ivanov-Ilyushin Yield Criteria (이바노브-율리신 항복조건을 이용한 4절점 비선형 준적합 쉘요소)

  • Panot, Songsak Pramin;Kim, Ki Du
    • Journal of Korean Society of Steel Construction
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    • v.20 no.3
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    • pp.409-419
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    • 2008
  • A co-rotational quasi-conforming formulation of four- node stress resultant shell elements using Ivanov-Ilyushin yield criteria are presented for the nonlinear analysis of plate and shell structure. The formulation of the geometrical stiffness is defined by the full definition of the Green strain tensor and it is efficient for analyzing stability problems of moderately thick plates and shells as it incorporates the bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. This formulation also integrates the elasto-plastic material behaviour using Ivanov Ilyushin yield condition with isotropic strain hardening and its asocia ted flow rules. The Ivanov Ilyushin plasticity, which avoids multi-layer integration, is computationally efficient in large-scale modeling of elasto-plastic shell structures. The numerical examples herein illustrate a satisfactory concordance with test ed and published references.