Subparametric Element Based on Partial-linear Layerwise Theory for the Analysis of Orthotropic Laminate Composites

직교이방성 적층구조 해석을 위한 부분-선형 층별이론에 기초한 저매개변수요소

  • 안재석 (영남대학교 공업기술연구소) ;
  • 우광성 (영남대학교 건설시스템공학과)
  • Received : 2009.03.09
  • Accepted : 2009.03.30
  • Published : 2009.04.30

Abstract

This paper presents the subparametric finite element model formulated by partial-linear layerwise theory for the analysis of laminate composites. The proposed model is based on refined approximations of two dimensional plane for orthotropic thick laminate plate as well as thin case. Three dimensional problem can be reduced to two dimensional case by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacement across the thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. The validity and characteristics of the proposed model have been tested by using orthotropic multilayered plate problem as compared to the values available in the published references. In this study, the convergence test has been carried out to determine the optimal layer model in terms of central deflection and stresses. Also, the distribution of displacements and stresses across the thickness has been investigated as the number of layer is increased.

Acknowledgement

Supported by : 한국학술진흥재단