Journal of the Korean Society for Advanced Composite Structures (복합신소재구조학회 논문집)

Korean Society for Advanced Composite Structures (한국복합신소재구조학회)
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Comparison of Various Shear Deformation Functions for Laminated Composite/Sandwich Plates

복합적층 및 샌드위치판 전단변형함수에 관한 상호비교연구

  • 박원태 (공주대학교 건설환경공학부) ;
  • 장석윤 (서울시립대학교 토목공학과 / (주)이산) ;
  • 천경식 ((주)바우컨설탄트)
  • Received : 2010.07.31
  • Accepted : 2010.08.29
  • Published : 2010.09.30
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Abstract

In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

본 연구에서는 Lagrangian 및 Hermite 보간함수를 혼합정식화한 유한요소법과 다양한 전단변형함수로 등방성, 대칭 적층 및 샌드위치판 모델을 제시하였다. 제시된 전단변형이론은 판의 상하면에서 전단응력이 0이 되는 다항식, 삼각함수, 쌍곡삼각함수 및 지수함수로 구성되어 있다. 모든 전단변형함수는 해석해, 정해 및 기발표된 유한요소 결과치와 비교하였으며, 합리적인 정확도를 갖는 것으로 예측되었다. 특히, 지수형태의 전단변형함수(Karama et al. 2003; Aydogu 2009)가 적층 및 샌드위치판 해석에 있어서 상대적으로 가장 우수한 결과를 보였다.

Keywords

References

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