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Structural Engineering and Mechanics
  Volume 22, Number 5, March30 2006 , pages 599-611

An efficient high-order warping theory for
laminated plates
Zhongmin Deng and Chuanyue Huang

    laminated beam and had good results. In the present paper, a series of hierarchical warping functions are developed to analyze the cylindrical bending problems of composite lamina. These warping functions which refine through-the-thickness variation of displacements were composed of basic and corrective functions by taking into account of anisotropic, material discontinues, and transverse shear and normal strain. Then the hierarchical finite element method was used to form a numerical algorithm. The distribution of the displacements, in-plane stresses, transverse shear stresses and transverse normal stress for composite laminate were analyzed with the present model. The results show that the present model has precise mechanical response compared with the first deformation transverse theory and the corrective order affects the accuracy of result.
Key Words
    composite; laminate; warping function; model; transverse stress.
Zhongmin Deng; School of Space Technology, Beijing University of Aeronautic and Astronautics (BUAA),
Beijing, 100083, China
Chuanyue Huang; Chinese Helicopter Research and Design Institute, Jingdezhen, 333001, China

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