介绍了共焦点椭球构型,给出了基于该构型对空间任意取向复合材料模量的解析计算公式,并将其同Mori-Tanaka(MT)法、Ponte-Castaneda-Willis(PCW)方法以及Hashin-Shtrikman(HS)界限进行了比较.数值结果显示,基于该构型的预测处于MT法和PCW法所预测的值之间,并且与MT法所预测的值接近.此外,还对纤维不同的角度平均方法对有效性质的影响做了讨论.
参考文献
[1] | Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions [J]. Acta Metall, 1973, 21: 571-574. |
[2] | Norris A N. A differential scheme for the effective moduli composites [J].Mechanics of Materials, 1985, 4: 1-16. |
[3] | Ponte Castaneda P, Willis J R. The effect of spatial distribution on the effective behavior of composite materials and cracked media [J]. J Mech Phys Solids, 1995, 43: 1919-1951. |
[4] | Kuster G T, Toksoz M N. Velocity and attenuation of seismic waves in two-phase media Ⅰ: Theoretical formulation [J].Geophysics, 1974, 39: 587-606. |
[5] | Hori M, Nemat-Nasser S. Double-inclusion model and overall moduli of multiphase composites [J]. Mech Mater, 1993, 14:189-206. |
[6] | Zheng Q S, Du D X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for the inclusion distribution [J]. J Mech Phys Solids, 2001, 49: 2765-2788. |
[7] | Hill R. A self-consistent mechanics of composite material [J].J Mech Phys Solids, 1965,13: 213-222. |
[8] | Christensen R M, Lo K H. Solution for effective shear properties in three phases sphere and cylinder model[J]. J Mech Phys Solids, 1979, 11: 127-140. |
[9] | 胡更开,郑泉水,黄筑平.复合材料有效弹性性质分析方法[J].力学进展,2001,31:361-392. |
[10] | Hu G K, Weng G J. The connections between the doubleinclusion model and the Ponte Castaneda-Wills, Mori-Tanaka, and Kuster-Toksoz models [J]. Mechanics of Materials,2000, 32: 495-503. |
[11] | Hu G K, Weng G J. Some reflections on the Mori-Tanaka and Ponte Castaneda-Willis methods with randomly oriented ellipsoidal inclusions [J]. Acta Mechanica, 2000, 140: 31-40. |
[12] | 杜丹旭.多相材料有效性质的理论研究[D].北京:清华大学,2000. |
[13] | Jiang C P, Tong Z H, Cheung Y K. A generalized self-consistent method accounting for fiber section shape [J]. Int Journal of Solids and Structures, 2003, 40:2589-2609. |
[14] | Hashin Z, Shtrikman S. On some variational principles in anisotropic and nonhomogeneous elasticity [J]. J Mech Phys Solids, 1962, 10: 355-342. |
[15] | Tandon G P, Weng G J. Average stress in the matrix and effective moduli of randomly oriented composites [J].Composite Science and Technology, 1986, 27: 111-132. |
[16] | Schjodt-Thomsen J, Pryz R. The Mori-Tanaka stiffness tensor: diagonal symmetry, complex fiber orientations and nondilute volume fractions [J]. Mechanics of Materials, 2001,33: 531-544. |
[17] | 胡更开.复合材料细观塑性的二阶矩理论及其应用[A].见:杜善义,等.复合材料及其结构的力学、设计、应用和评价[M].哈尔滨:哈尔滨工业大学出版社,2000.201-216. |
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%