根据夹杂相积分区域的相似性,提出了相似子域边界元法求解方案.把含随机分布夹杂相的固体归结为对一个含有内边界条件复连通域问题的求解,与传统的有限元和边界元分域解法相比,显著地提高了计算效率.应用相似子域边界元法,对含有随机分布圆形和椭圆形夹杂相的固体材料进行了大量数值计算,并把夹杂相与基体材料之间从理想粘结扩展到带有界面层的情况.这些计算为相应纤维增强复合材料宏观等效力学特性研究提供了有效的数值模拟方法.
参考文献
[1] | Hashin Z. The elastic moduli of heterogeneous material [J].J Appl Mech, 1962, 29(1): 143-150. |
[2] | Huang Y, Hu K X, Wei X, et al. A generalized self-consistent mechanics method for composite material with multiphase inclusions [J]. J Mech Phys Solids, 1994,42(8): 491-504. |
[3] | Benveniste Y. A new approach to the application of Mori-Tanaka theory in composite materials [J]. Mech Mater, 1987,6(2): 147-157. |
[4] | Zheng Q S, Du D X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution [J]. Journal of the Mechanics and Physics of Solids, 2001, 49(11): 2765-2788. |
[5] | Huang Y, Huang K C , Hu K X , et al. A unified energy approach to a class of micromechanics models for composite materials [J]. Acta Mechanica Sinica, 1995, 11(1): 59-75. |
[6] | Isida M, Igawa H. Analysis of zig-zag array of circular holes in an infinite solid under uniaxial tension [J]. Int J Solids Struc, 1991, 27(7): 849-864. |
[7] | Day A R, Snyder K A, Garboczi E J,et al. The elastic moduli of a sheet containing circular holes [J]. J Mech Phys Solids, 1992, 40(5): 1031-1051. |
[8] | Moulinec H, Suquet P. A fast numerical method for computing the overall response of nonlinear composites with complex microstructure [J]. Computer Methods in Applied Mechanics and Engineering, 1998, 157(1-2): 69-94. |
[9] | Michel J C, Moulinec H, Suquet P. A computational scheme for linear and non-linear composites with arbitrary phase contrast [J]. Int J Numer Meth Engng, 2001, 52(1-2): 139-160 . |
[10] | Hu N , Wang B , Tan G W, et al. Effective elastic properties of 2-D solids with circular holes: numerical simulations [J]. Composites Science and Technology, 2000, 60(9): 1811-1823. |
[11] | Kong Fanzhong, Yao Zhenhan, Zheng Xiaoping. BEM for simulation of a 2D elastic body with randomly distributed circular inclusions [J]. Acta Mechanica Solida Sinica, 2002, 15(1): 81-88. |
[12] | Luo J F ,Liu Y J , Berger E J . Analysis of two-dimensional thin structures (from micro to nano-scales) using the boundary element method [J]. Computational Mech, 1998,22: 404-412. |
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%