3D Analysis of the Functionally Graded Material Plates With Complex Shapes and Various Holes
-
摘要: 推导出适应功能梯度材料构件分析的半解析梯度有限元法基本算式,并针对功能梯度构件的材料参数随空间坐标变化的特点,将材料参数纳入到力学方程中进行整体积分计算,从而分析不同情况功能梯度板件问题.该法适应性强而又简洁高效,采用一维离散,给出三维分析结果,是一种解决功能梯度构件力学分析的有效数值方法.用提出的方法分析几种具有复杂形状及开孔的功能梯度板,给出了板件的力学量三维分布形态.Abstract: 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.
-
Key words:
- functionally graded material /
- semi-analytical method /
- complex shape /
- hole /
- 3D analysis
-
[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.
计量
- 文章访问数: 2981
- HTML全文浏览量: 138
- PDF下载量: 563
- 被引次数: 0