Journal of Korean Society of Steel Construction (한국강구조학회 논문집)

Korean Society of Steel Construction (한국강구조학회)
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A Simple Modification of the First-order Shear Deformation Theory for the Analysis of Composite Laminated Structures

복합적층구조해석을 위한 1차전단변형이론의 간단한 수정방안

  • Received : 2011.04.05
  • Accepted : 2011.07.29
  • Published : 2011.08.27
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Abstract

In this study, a simplified method of improving not only transverse shear stress but also shear strain based on the first-order shear deformation theory was developed. Unlike many established methods, such as the higher-order shear deformation and layerwise theories, this method can easily apply to finite elements as only $C^0$ continuity is necessary and the formulation of equations is very simple. The basic concept in this method, however, must be corrected:the distribution of the transverse shear stresses and shear strains through the thickness from the formulation based on the higher-order shear deformation theory. Therefore, the shear correction factors are no longer required, based on the first-order shear deformation theory. Numerical analyses were conducted to verify the validity of the proposed formulations. The solutions based on the simplified method were in very good agreement with the results considering the higher-order shear deformation theory.

본 논문에서는 1차전단변형이론의 횡방향 전단응력과 전단변형률을 개선한 간단한 수정방법을 제시하였다. 고차전단변형이론, 층별이론과 같은 기존의 많은 제정된 방법들과 비교해서 본 방법은 매우 간단하게 $C^0$ 연속성만이 요구되는 유한요소에 적용할 수 있으며, 그 방정식 구성도 매우 간단하다. 본 방법의 기본 개념은 고차전단변형이론에 의한 수식으로 부터 두께방향에 따른 횡방향 전단응력과 전단변형률의 분포를 수정하는 것이다. 그러므로 1차전단변형이론처럼 전단보정계수는 더 이상 요구되지 않는다. 제안한 수식의 타당성을 검증하기 위하여 수치해석을 수행하였으며, 본 수정방법에 의한 해는 고차전단변형이론을 고려한 결과와 잘 일치하였다.

Keywords

References

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