提出了一种计算复合材料有效性能的分步格式,用以解决高体分比和多夹杂复合材料的有效性能计算.对于多类夹杂问题,模型分步处理每一类夹杂,并分步计算复合材料的有效性能.给出了多夹杂复合材料性能的数值计算结果.数值结果与实验数据符合很好.研究表明,对于二元复合材料,现有的分步格式能够很好地处理接近于1的高体分比夹杂问题,其结果与微分法的结果基本相同,分步格式能够有效地处理具有不同形状和尺寸的多类夹杂问题.
参考文献
[1] | Mura T.Micromechanics of defect in solids[M].2nd ed.New York:Martins Nijhoff,1987:304. |
[2] | Nemat-Nasser S,Hori M.Micromechanics:Overall properties of heterogeneous materials[M].Amsterdam:North Holland Publisher,1993:381. |
[3] | Bensoussan A,Lion J L,Papanicolaou G.Asymptotic analysis for periodic structures[M].Amsterdam:North Holland Publisher,1978:20. |
[4] | Sanchez-Palencia E.Non-hongeneous media and vibration theory[M].Berlin-Heidelberg:Springer-Verlag,1980:127. |
[5] | Hohe J,Becker W.Effective stress-strain relations for two dimensional cellular sandwich cores:Homogenization,material models,and properties[J].Applied Mechanics Review,2002,55(1):61-87. |
[6] | Yang Q S,Becker W.A comparative investigation of different homogenization methods for prediction of the macroscopic properties of composites[J].Computer Modeling in Engineering and Sciences,2004,6(4):319-332. |
[7] | Eshelby J D.The determination of the elastic field of an ellipsoidal inclusion and related problems[J].Proceedings of Royal Society London,Serial A,1957,241:376-396. |
[8] | Budiansky B.On the elastic moduli of some heterogeneous materials[J].Journal of Mechanics and Physics of Solids,1965,13:223-227. |
[9] | Hill R.A self-consistent mechanics of composite materials[J].Journal of Mechanics and Physics of Solids,1965,13:213-222. |
[10] | Chou T W,Nomura S,Taya M.A self-consistent approach to the elastic stiffness of short-fiber composites[J].Journal of Composite Materials,1980,14:178-188. |
[11] | Christensen R M,Lo K H.Solutions for effective shear properties in three sphere and cylinder models[J].Journal of Mechanics and Physics of Solids,1979,27:315-330. |
[12] | Christensen R M.A critical evaluation for a class of micromechanics models[J].Journal of Mechanics and Physics of Solids,1990,38:379-406. |
[13] | Mori T,Tanaka K.Average stress in matrix and average energy of materials with misfitting inclusion[J].Acta Metall,1973,21:571-576. |
[14] | Weng G J.Some elastic properties of reinforced solids with special reference to isotropic ones containing spherical inclusions[J].International Journal of Engineering Sciences,1984,22:845-856. |
[15] | Beveniste Y.A new approach to the application of MoriTanaka's theory in composite materials[J].Mechanics of Materials,1987,6:147-157. |
[16] | Yang Qingsheng,Tang L M,Chen H R.Self-consistent finite element method:A new method for predicting effective properties of inclusion media[J].Finite Elements in Analysis and Design,1994,17:247-257. |
[17] | Norris A N.A differential scheme for the effective moduli of composites[J].Mechanics of Materials,1985,4:1-16. |
[18] | Hashin Z.The differential scheme and its application to cracked materials[J].Journal of Mechanics and Physics of Solids,1988,36:719-736. |
[19] | Hori M,Nemat-Nasser S.Double-inclusion model and overall moduli of multi-phase composites[J].Mechanics of Materials,1993,14(3):189-206. |
[20] | Li J Y.Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials[J].International Journal of Engineering Science,2000,38:1993-2011. |
[21] | Xu H H K,Smith D T,Simon C G.Strong and bioactive composites containing nano-silica-fused whiskers for bone repair[J].Biomaterials,2004,25:4615-4626. |
[22] | Taya M,Chou T W.On two kinds of ellipsoidal in homogeneities in an infinite elastic body:An application to a hybrid composite[J].International Journal of Solids and Structures,1981,17:553-563. |
[23] | 郑代华,杨庆生.多相复合材料的有效模量预测[J].铁道学报,2000,22(2),86-89.Zheng Daihua,Yang Qingsheng.Prediction of the effective properties of composites with multi kinds of inclusions[J].Journal of the China Railway Society,2000,22(2):86-89. |
[24] | Yang Qingsheng,Qin Qinghua.Modelling the effective elastoplastic properties of unidirectional composites reinforced by fibre bundles under transverse tension and shear loading[J].Materials Science and Engineering A,2003,344 (1/2):140-145. |
[25] | Lin S C,Mura T.Elastic fields of inclusions in anisotropic media Ⅱ[J].Physica Status Solidi A,1973,15:281-285. |
[26] | Tsai S W.Structural behavior of composite materials,CR-71[R].Washington:NASA,1964. |
[27] | Hashin Z,Shtrikman S.A variational approach to the theory of elastic behavior of multiphase materials[J].Journal of Mechanics and Physics of Solids,1963,11:127-140. |
[28] | Christensen R M.A critical evaluation for a class of micromechanics models[J].Journal of Mechanics and Physics of Solids,1990,38:379-404. |
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%