零膨胀材料对提高航空航天结构和电子设备等的热几何稳定性有重要意义.采用拓扑优化技术设计各相材料在单胞域的分布形式,以获得零膨胀材料的微结构形式.给出了由二相实体材料和空心构成的各向同性零膨胀材料的设计方案,讨论了初始设计依赖性问题,分析了该依赖性的存在原因.采用有限元技术代替实际测试,分析了所设计材料的试件在均匀温度变化下的变形,验证了所设计材料的零膨胀(低膨胀)性质,说明通过拓扑优化技术设计材料的微结构是设计零膨胀材料的有效方法.
参考文献
[1] | Mary T A, Evans J S O. Negative thermal expansion from 0.3 to 1050 Kelvin in ZrW2Os [J]. Science, 1996, 272(5258): 90-92. |
[2] | Hashin Z. Analysis of composite materials: A survey [J].Journal of Applied Mechanics, 1983, 50(3): 481 -505. |
[3] | Rosen B W, Hashin Z. Effective thermal expansion coefficients and specific heats of composite materials [J]. International Journal of Engineering Science, 1970, 8(2): 157-173. |
[4] | Lakes R. Materials with structural hierarchy (Cover story)[J]. Nature, 1993, 361(6412): 511-515. |
[5] | 刘书田,程耿东.基于均匀化理论的复合材料热膨胀系数预测方法[J].大连理工大学学报,1995,35(5):451-457. |
[6] | Sigmund O, Torquato S. Design of materials with extremethermal expansion using a three-phase topology optimization method [J]. J Mech Phys Solids, 1997, 45(6): 1037-1067. |
[7] | 刘书田,郑新广,程耿东.特定弹性性能材料的细观结构设计优化[J].复合材料学报,2001,18(2):124-127.Liu S T, Zhong X G, Cheng G D. Microstructure design optimization of materials with specific elastic properties [J].Acta Materiae Compositae Sinica, 2001, 18 (2): 124 -127. |
[8] | 刘书田,程耿东.基于均匀化理论的梯度功能材料优化设计方法[J].宇航材料工艺,1995(6):21-27. |
[9] | Rietz A. Sufficiency of a finite exponent in SIMP (Power law) methods [J]. Structural and Multidisciplinary Optimization, 2001, 21(2): 159-163. |
[10] | Sigmund O. Numerical instabilities in topology optimization:A survey on procedure dealing with checkerboards, mesh-dependencies and local minima [J]. Structural Optimization,1998, 16(1): 68-75. |
[11] | Guedes J M, Kikuchi N. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods [J]. Computer Methods in Applied Mechanics and Engineering, 1990, 83(2): 143-198. |
[12] | Hassani B, Hinton E. A review of homogenization and topology optimization (Ⅰ): Homogenization theory for media with periodic structure [J]. Computers and Structures, 1998, 69(6): 707-717. |
[13] | Bourdin B. Filters in topology optimization [J]. International Journal for Numerical Methods in Engineering, 2001, 50(9): 2143-2158. |
[14] | Li Q, Steven G P, Xie Y M. A simple checkerboard suppression algorithm for evolutionary structural optimization [J].Structural and Multidisciplinary Optimization, 2001, 22(3): 230-239. |
[15] | Zhou M, Shyy Y K, Thmoas H L. Checkerboard and minimum member size control in topology optimization [J].Structural and Multidisciplinary Optimization, 2001, 21(2): 152-158. |
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%