Semi-analytical gradient finite element method for 3D analyses of functionally graded material plates
Received:November 28, 2005  Revised:March 13, 2007
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DOI:10.7511/jslx20076167
KeyWord:functionally graded material,three-dimensional analysis,semi-analytical finite element method,gradient finite element method
CAO Zhi-yuan  CHENG GUO-hua
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Abstract:
      To combine semi-analytical finite element method with gradient finite element method formed a kind of semi-analytical gradient finite element method for solving the problems of functionally graded material plates.The method has the advantages: both strong adaptability,unified program of finite element method and saving element and calculation of semi-analytical finite element method and adapting to any gradient distribution of gradient finite element method,and realizes the purpose of using 1-D numerical calculation and giving 3-D analysis results.The calculating examples indicated the accuracy,function and the features above expressed,and fully revealed the 3-D distribution of mechanical responses of functionally graded material plates.Semi-analytical gradient finite element method can be extended to various analyses of other functionally graded material face structures.