KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Substitute Shear Strain and Nonconforming Four-Node Isoparametric Plate Element for Laminated Composite Plates

복합적층판 해석을 위한 대체전단변형 및 비적합 등매개변수 4절점 평판요소

Park, Dae-Yong;Chun, Kyoung-Sik;Chang, Suk-Yoon
박대용;천경식;장석윤

  • Published : 2003.11.29

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Abstract

In this paper, four-node Ressiner-Mindlin plate element with substitute shear strain and nonconforming displacement mode is used for analyzing laminated composite plates. The transverse shear deformation is formulated by using the first-order shear deformation theory. Commonly, transverse shear locking phenomenon is possible for the application of the four-node Ressiner-Mindlin plate element especially in the case of having slender thickness of plate. The reduced integration strategy for solving the transverse shear locking brings about spurious zero energy modes. Substitute strain field is used to avoid the locking and spurious zero energy modes. Nonconforming displacement modes are also employed to improve in-plane and out-of-plane behaviors of the plate element. The numerical results as variation of thickness ratio, aspect ratio, support condition, fibre-angle, and stacking sequence for laminated composite plates are presented. It is shown that the results using substitute shear strain and nonconforming displacement modes provide reliable and more accurate solutions when comparing to results of other researchers.

본 연구에서는 복합적층판 해석을 위해 대체전단변형과 비적합 변위모드를 사용한 등매개변수 4절점 평판요소를 사용하였으며, 전단변형효과를 고려하기 위해 일차전단변형 이론을 적용하였다. 판의 두께가 얇아지면서 발생하는 전단잠김 현상과 감차적분에 의해 발생하는 가상의 제로에너지모드를 제거하기 위해 대체전단변형을 적용하였고 비적합 변위모드를 사용하여 면내와 면외거동을 개선하였다. 본 연구에서 사용한 요소의 정확도를 평가하기 위해 복합적층판의 폭-두께비, 형상비, 지점조건, 적층각도 및 적층순서 변화에 따른 수치해석 결과를 다른 연구자들의 결과와 비교하였다. 비적합 변위모드와 대체전단변형률을 사용함으로써 우수한 거동을 보였으며 정확한 결과를 나타내었다.

Keywords

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