基于ABAQUS的功能梯度材料等参梯度有限元分析

复合材料科学与工程 ›› 2014, Vol. 0 ›› Issue (2): 33-39.

基于ABAQUS的功能梯度材料等参梯度有限元分析

黄立新^1,2*, 杨真真¹, 张晓磊³, 阳明¹

1.广西大学土木建筑工程学院,广西南宁530004;
2.广西大学工程防灾与结构安全教育部重点实验室,广西南宁530004;
3.同济大学土木工程学院地下建筑与工程系,上海200092

收稿日期:2013-07-01 出版日期:2014-02-28 发布日期:2021-09-17
作者简介:黄立新(1964-),男,教授,博士,主要从事复合材料结构与力学等方面的研究。
基金资助:
国家自然科学基金(11262002)

AN ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BY THE ISOPARAMETRIC GRADED FINITE ELEMENT METHOD BASED ON ABAQUS

HUANG Li-xin^1,2*, YANG Zhen-zhen¹, ZHANG Xiao-lei³, YANG Ming¹

1. School of Civil Engineering, Guangxi University, Nanning 530004, China;
2.The Key Laboratory of Disaster Prevention and Structural Safety of the Education Ministry, Guangxi University, Nanning 530004, China;
3. Department of Geotechnical Engineering, Colleges of Civil Engineering, Tongji University, Shanghai 200092, China

Received:2013-07-01 Online:2014-02-28 Published:2021-09-17

摘要/Abstract

摘要： 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。

关键词: 功能梯度材料, 等参梯度单元, 梯度系数, 有限元分析

Abstract: Based on the computing platform of the finite element method (FEM) commercial software ABAQUS, a plane structure of functionally graded materials (FGMs) is analyzed by finite element models which are based on the isoparametric graded finite element method (IGFEM). Numerical example shows that the stress and displacement results by the IGFEM 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. By the numerical example of the FEM fine mesh, it is found that the IGFEM has high accuracy and better convergence.

Key words: functionally graded materials, isoparametric graded finite element, nonhomogeneity parameters, finite element analysis

中图分类号:

TB332
O316

黄立新, 杨真真, 张晓磊, 阳明. 基于ABAQUS的功能梯度材料等参梯度有限元分析[J]. 复合材料科学与工程, 2014, 0(2): 33-39.

HUANG Li-xin, YANG Zhen-zhen, ZHANG Xiao-lei, YANG Ming. AN ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BY THE ISOPARAMETRIC GRADED FINITE ELEMENT METHOD BASED ON ABAQUS[J]. COMPOSITES SCIENCE AND ENGINEERING, 2014, 0(2): 33-39.

参考文献

[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, (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, (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] 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.
[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, (3): 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, 40(5): 528-540.
[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, (3): 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, (4): 33-40.
[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, (1): 40-43.
[15] Liu G R, Han X and Lam K Y. Stress waves in functionally gradient materials and its use for material characterization[J]. Composites Part B: engineering, 1999,(30): 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, 37(1): 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, (2): 43-48.
[19] Kim J H, Paulino G H. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials[J]. Journal of Applied Mechanics, 2002, (69): 502-514.
[20] Suresh S, Giannakopoulos AE and Alcala J. Spherical indentation of compositionally graded materials: theory and experiments[J]. Acta Materials, 1997, 45(4): 1307-1321.