CAO Zhi-yuan, TANG Shou-gao, CHENG Guo-hua. 3D Analysis of the Functionally Graded Material Plates With Complex Shapes and Various Holes[J]. Applied Mathematics and Mechanics, 2009, 30(1): 15-20.
Citation: CAO Zhi-yuan, TANG Shou-gao, CHENG Guo-hua. 3D Analysis of the Functionally Graded Material Plates With Complex Shapes and Various Holes[J]. Applied Mathematics and Mechanics, 2009, 30(1): 15-20.

3D Analysis of the Functionally Graded Material Plates With Complex Shapes and Various Holes

  • Received Date: 2008-07-23
  • Rev Recd Date: 2008-11-19
  • Publish Date: 2009-01-15
  • Basic formulas for Semi-analytical Graded FEM on FGM members were derived. Since FGM parameters vary along three space coordinates, the parameters can be integrated in mechanical equations. Therefore with parameters of a given FGM plate, the FGM plate problems under various conditions can be solved. The approach uses 1D discretization to obtain 3D solutions, and proves to be an effective numerical method for mechanical analyses of FGM structures. Last, several FGM plate examples with complex shapes and various holes were provided.
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  • [1]
    Koizumi M. The concept of FGM[J].Ceramic Trans, Functionally Gradient Materials,1993,34(1):3-10.
    [2]
    黄旭涛,严密. 功能梯度材料:回顾与展望[J].材料科学与工程,1997,15(4):35-38.
    [3]
    Hirai T, Chen L. Recent and prospective development of functionally graded materials in Japan[J].Mater Sci Forum,1999, 308/311(3):509-514. doi: 10.4028/www.scientific.net/MSF.308-311.509
    [4]
    Lim C W, He L H. Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting[J].I J of Mechanical Science, 2001,43(11):2479-2492.
    [5]
    Yang J, Shen H S. Dynamic response of initially stressed functionally graded rectangular thin plates[J].Composite Structure, 2001,54(4):497-508. doi: 10.1016/S0263-8223(01)00122-2
    [6]
    沈惠申. 功能梯度复合材料板壳结构的弯曲、屈曲和振动[J].力学进展, 2004,34(1):53-60.
    [7]
    曹志远,张佑. 半解析数值方法[M].北京:国防工业出版社,1992.
    [8]
    Zienkiewicz O C, FRS, Taylor R L.The Finete Element Method[M].4th Ed. London:McGraw-Hill, Inc, 1987.
    [9]
    Zhong Z, Sheng E T.3D exact analysis of a simply supported functionally gradient piezoelectric plate[J].I J of Solids and Structures,2003,40(20):5335-5352.
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