FINITE ELEMENT ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BASED ON LAYERING METHOD

Abstract

Abstract: Based on layering method,finite element model is used to analyze a plane structure of functionally graded materials (FGMs). The FGMs plane structure is divided into a certain number of homogeneous layers with the material property between adjacent layer varying in a functional manner and the conventional homogeneous element can be employed to mesh the plane structure for its analysis. Numerical example shows that the stress and displacement results by finite element method (FEM) are satisfactorily agreed with the analytical solutions. By designing Young's Modulus nonhomogeneity parameters of material component Y-TZP in three cases,the influence on the FEM solutions is discussed. Numerical results demonstrate that the increase of nonhomogeneity parameters has effects on the FEM solutions of stress and displacement and the effects on stress are more than those on displacement.

Key words: functionally graded materials, finite element method, layering method, nonhomogeneity parameters

CLC Number:

TB332
TP311

HUANG Li-xin, YAO Qi, ZHANG Xiao-lei, YANG Ming. FINITE ELEMENT ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BASED ON LAYERING METHOD[J]. COMPOSITES SCIENCE AND ENGINEERING, 2013, 0(2): 43-48.

References

[1] Reddy JN. Analysis of functionally graded plates[J]. International Journal for Numerical Methods in Engineering,2000,47(1-3): 663-684.
[2] 曹志远. 功能梯度复合材料圆柱壳基本理论及长壳固有振动解[J]. 玻璃钢/复合材料,2006,189(4): 3-6.
[3] 曹志远. 功能梯度壳体力学的一般理论[J]. 玻璃钢/复合材料, 2008,199(2): 7-11.
[4] Sankar BV. An elasticity solution for functionally graded beams[J]. Composites Science and Technology,2001,61(5): 689-696.
[5] Zhong Z,Shang ET. Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate[J]. International Journal of Solids and Structures,2003,40(2): 5335-5352.
[6] Ding HJ,Huang DJ,Chen WQ. Elasticity solutions for plane anisotropic functionally graded beams[J]. International Journal of Solids and Structures,2007,44(1): 176-196.
[7] 程红梅,曹志远. 由材料组分直接计算功能梯度复合材料开孔板宏观响应的跨尺度分析[J]. 复合材料学报,2006,23(5): 161-167.
[8] 程红梅,曹志远. 功能梯度材料单参数反演分析[J]. 玻璃钢/复合材料,2009,206(3): 16-22.
[9] Zhong Z,Cheng ZQ. Fracture analysis of a functionally graded strip with arbitrary distributed material properties[J]. International Journal of Solids and Structures,2008,45(13): 3711-3725.
[10] 王明禄,马文蕾,魏高峰. 热载荷下功能梯度材料梁的热弹性弯曲[J]. 玻璃钢/复合材料,2009,204(1): 7-9.
[11] 仲政,吴林志,陈伟球. 功能梯度材料与结构的若干力学问题研究进展[J]. 力学进展,2010,40(5): 528-540.
[12] 杨洁,李成,贾红雨,苏玉珍. 复合材料层合板孔边应力场的有限元计算[J]. 玻璃钢/复合材料,2009,206(3): 8-12.
[13] 段成红,吴祥,罗翔鹏. 碳纤维缠绕复合气瓶爆破压力的有限元分析[J]. 玻璃钢/复合材料,2012,223(2): 17-19.
[14] Wang YS,Gross D. Analysis of a crack in a functionally gradient interface layer under static and dynamic loading[J]. Key Engineering Materials,2000,183-187: 331-336.
[15] Wang YS,Huang GY,Gross D. On the mechanical modeling of functionally graded interracial zone with a griffith crack: anti-plane deformation[J]. ASME Journal of Applied Mechanics,2003,70: 676-680.
[16] 黄干云,汪越胜,余寿文. 功能梯度材料的平面断裂力学分析[J]. 力学学报,2005,37(1): 1-8.
[17] Kim JH,Paulino GH. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials[J]. ASME Journal of Applied Mechanics,2002,69(4): 502-514.
[18] Suresh S,Giannakopoulos AE and Alcala J. Spherical indentation of compositionally graded materials: theory and experiments[J]. Acta Materials,1997,45(4): 1307-1321.