基于Mori-Tanaka方法和Eshelby等效夹杂理论,建立弹性阶段基体和纤维平均应力之间的桥联矩阵,导出了该矩阵各元素的显式.鉴于工程实际材料对柔度矩阵对称性的要求并考虑组分材料物理性能和细观几何特征等因素的影响,对所导出的桥联矩阵进行合理简化.引入与基体等效塑性应变相关联的修正参数,以此确定纤维和基体中应力分配.数值结果表明,本文中建立的复合材料非线性理论模型与实验结果吻合较好.
参考文献
| [1] | 范赋群,王震鸣,嵇醒,黄小清.关于复合材料力学几个基本问题的研究[J].力学与实践,1995,17(1):4-7.Fan Fuqun,Wang Zhenming,Ji Xing,Huang Xiaoqing.Study of several basic problems on mechanics of composites[J].Mechanics and Practice,1995,17(1):4-7. |
| [2] | Hill R.Continuum micromechanics of elastoplastic polycrystals[J].J Mech Phys Solids,1965,13(2):89-101. |
| [3] | Dvorak G J,Bahei-E1-Din Y A.Elastic-plastic behavior of fibrous composites[J].J Mech Phys Solids,1979,27(1):51-72. |
| [4] | Eshelby J D.The determination of the elastic field of an ellipsoidal inclusion and related problems[J].Proceedings of the Royal Society,1957,series A241(1226):376-396. |
| [5] | 梁军,杜善义.弹塑性复合材料力学性能的细观研究[J].固体力学学报,2000,21(4):361-365.Liang Jun,Du Shanyi.Study of the mechanical behavior of the elastoplastic matrix composites by micromeehanics[J].Acta Mechanica Solida Sinica,2000,21(4):361-365. |
| [6] | Tandon G P,Weng G J.A theory of particle reinforced plasticity[J].ASME Journal of Applied Mechanics,1988,55(3):126-135. |
| [7] | 田峰,胡更开,杨改英.塑性细观力学模型的比较分析[J].北京理工大学学报,1996,16(5):477-482.Tian feng,Hu Gengkai.A comparative study of micromechanical models for inelastic composite materials[J].Journal of Beijing Institute of Technology,1996,16(5):477-482. |
| [8] | Sun C T,Chen J L.A micromechanical model for plastic behavior of fibrous composites[J].Comp Sci Teeh,1991,40(2):115-129. |
| [9] | Tvergaard V.Analysis of tensile properties for a whisker reinforced metal matrix composite[J].Acta Metal Mater,1990,38(2):185-194. |
| [10] | Briottet L,Gilormini P,Montheillet F.Approximate analytical equations for the deformation of an inclusion in a viscoplastic matrix[J].Acta Mechanica,1999,134(3/4):217-234. |
| [11] | Van Houtte P.Heterogeneity of plastic strain around an ellipsoidal inclusion in an ideal plastic matrix[J].Acta Metall Mater,1995,43(7):2859-2879. |
| [12] | 黄争鸣,张若京.复合材料结构受横向荷载作用的强度问题[J].复合材料学报,2005,22(2):148-159.Huang Zhengming,Zhang Ruojing.On the ultimate strength of a fiber reinforced composite laminate subjected to lateral loads[J].Aeta Materiae Compositae Sinica,2005,22(2):148-159. |
| [13] | 宋迎东,孙志刚,雷友锋,高德平.细观几何结构对复合材料初始屈服面的影响[J].航空动力学报,2004.19(6):749-754.Song Yingdong,Sun Zhigang,Lei Youfeng,Gao Deping.Influence of micro-structural geometry on composite initial yielding surfaces[J].Journal of Aerospace Power,2004,19(6):749-754. |
| [14] | 刘熠,黄筑平,王仁.关于非线性基体中Eshelby等效夹杂方法适用性的讨论[J].力学学报,1997,29(4):506-511.Liu Yi,Huang Zhuping,Wang Ren.On the applicability of Eshelby's equivalent inclusion method in nonlinear continuum mechanics[J].Acta Meehanica Sinica,1997,29(4):506-511. |
| [15] | Mura T.Micromechanics of defect in solids[M].2nd ed.New York:Martins Nijhoff,1987:74-89. |
| [16] | Mori T,Tanaka K.Average stress in matrix and average elastic energy of materials with misfitting inclusions[J].Acta Metall,1973,21(5):571-574. |
| [17] | Benveniste Y.A new approach to the application of MoriTanaka theory in composite materials[J].Meeh Mater,1987,6(2):147-157. |
| [18] | Benveniste Y,Dvorak G J,Chen T.On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media[J].J Mecb Phys Solids,1991,39(7):927-946. |
| [19] | Hill R.The elastic behaviour of a crystalline aggregate[J].Proc Phys Soc,1952,A65(5):349-354. |
| [20] | Reuss A.Berechnung der fliessgrenze yon misehkristalllen auf grund der plastizitatsbedingung fur einkristalle[J].Z angew Math Mech,1929,9(1):49-58. |
| [21] | Soden P D,Hinton M J,Kaddour A S.Lamina properties and lay-up configurations and loading conditions of range fibrereinforced composite laminates[J].Compos Sci Technol,1998,58(7):1011-1022. |
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%