以大型商用有限元软件ABAQUS为计算平台,基于等参梯度单元法的思想,建立功能梯度材料结构的有限元分析模型,进行有限元计算分析.数值算例表明,等参梯度有限单元法的应力和位移计算结果均与解析解吻合得很好.根据设计组分材料Y-TZP弹性模量的三种工况,讨论了弹性模量梯度系数对有限元计算结果的影响.通过有限元网格加密的数值算例,发现等参梯度有限单元法具有精度高和收敛快的特点.
参考文献
[1] | J. N. Reddy .Analysis of functionally graded plates[J].International Journal for Numerical Methods in Engineering,2000(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(04):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(02):7-11,15. |
[4] | B.V. Sankar .An elasticity solution for functionally graded beams[J].Composites science and technology,2001(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(20):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(26):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(05):161-167. |
[8] | Zhong Z;Cheng ZQ .Fracture analysis of a functionally graded strip with arbitrary distributed material properties[J].International Journal of Solids and Structures,2008(13):3711-3725. |
[9] | 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(03):16-22. |
[10] | 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(05):528-541. |
[11] | 王勖成.有限单元法[M].北京:清华大学出版社,2003 |
[12] | 朱坤宁,万水.复合材料桥面板截面参数分析与设计研究[J].玻璃钢/复合材料,2011(03):3-7. |
[13] | 张明星.胶接碳纤维复合材料层合板拉伸性能及有限元模拟[J].玻璃钢/复合材料,2012(04):36-40. |
[14] | 孙中涛,王华明.旋翼复合材料桨叶弹损穿孔的有限元建模方法[J].玻璃钢/复合材料,2013(01):40-43. |
[15] | G.R. Liu;X. Han;K.Y. Lam .Stress waves in functionally gradient materials and its use for material characterization[J].Composites, Part B. Engineering,1999(4):383-394. |
[16] | 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. |
[17] | 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(01):1-8. |
[18] | 黄立新,姚祺,张晓磊,阳明.基于分层法的功能梯度材料有限元分析[J].玻璃钢/复合材料,2013(02):43-48,21. |
[19] | Jeong-Ho Kim;G. H. Paulino .Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials[J].Journal of Applied Mechanics,2002(4):502-514. |
[20] | S.SURESH;A.E.GIANNAKOPOULOS;J.ALCALA .SPHERICAL INDENTATION OF COMPOSITIONALLY GRADED MATERIALS: THEORY AND EXPERIMENTS[J].Acta materialia,1997(4):1307-1321. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%