以空心规则14面体周期模型为参照,结合实际泡沫材料中出现的胞体形状及胞体排列的不规则特性,引入不规则14面胞体随机变形参数及胞体随机排列指数,得到不规则14面体部分不连续/重叠有限元模型;同时,假定短纤随机分布于胞壁和胞杆之中,纤维长度随机分布密度函数为Maxwell分布,纤维空间取向角随机分布密度函数为正态分布,建立了短纤维分布的随机模型.最后,利用不规则14面体部分不连续/重叠模型分析了胞壁厚度随机变化、胞杆截面任意三角形边长的随机变化、胞体随机形变、胞体随机排列及纤维增强等因素对弹性模量的影响,并与其它相关研究结果进行了比较,说明了本模型的优点和有效性.
参考文献
[1] | Clyne T W;Withers P J.An introduction to metal matrix composites[M].Cambridge:Cambridge University Press,1993:454. |
[2] | Folgar F .Fiber FP/metal matrix composite connection rod:Design fabrication and performance[J].Ceramic Engineering and Science Proceedings,1988,9(7-8):561. |
[3] | Takao Y.Thermal expansion coefficients of misoriented shortfiber reinforced composites[A].Hampton,1985:685. |
[4] | Fu S Y;Lauke B .The elastic modulus of misaligned,shortfiber reinforced polymers[J].Composites Science and Technology,1998,58(3-4):389. |
[5] | Zhen-Yan Deng .Effect of Different Fiber Orientations on Compressive Creep Behavior of SiC Fiberreinforced Mullite Matrix Composites[J].Journal of the European Ceramic Society,1999(12):2133-2144. |
[6] | Weale DJ;Walton D;White J .The effect of fibre orientation and distribution on the tooth stiffness of a polymer composite gear[J].Journal of Reinforced Plastics and Composites,1999(5):454-463. |
[7] | Gibson R F.Principles of composite material mechanics[M].New York:McGraw-Hill,1994 |
[8] | A.P. Roberts;E.J. Garboczi .Elastic properties of model random three-dimensional open-cell solids[J].Journal of the Mechanics and Physics of Solids,2002(1):33-55. |
[9] | 卢子兴,石上路.低密度开孔泡沫材料力学模型的理论研究进展[J].力学与实践,2005(05):13-20. |
[10] | Stoyan D;Kendall W S;Mecke J.Stochastic geometry and its applications[M].Wiley,Chichester,1995 |
[11] | Van der Burg;Shulmeister M W D et al.On the linear elastic properties of regular and random open-cell foams models[J].Journal of Cellular Plastics,1997,33(01):31. |
[12] | Warren W E;Kraynik A M .Linear elastic behavior of a low density Kelvin foam with open cells[J].Journal of Applied Mechanics,Transactions of the ASME,1997,64:787. |
[13] | Zhu H X;Knott J F;Mills N J .Analysis of the elastic properties of open-ceU foams with tetrakaidecahedral cells[J].Journal of the Mechanics and Physics of Solids,1997,45:319. |
[14] | Ko W L .Deformations of foamed elastomers[J].Journal of Cellular Plastics,1965,1:45. |
[15] | Dementˊev A G;Tarakanov O G .Effect of cellular structure on the mechanical properties of plastic foams[J].Mechanics of Composite Materials,1970,6(04):519. |
[16] | K. Lia;X.-L. Gao;A.K. Roy .Micromechanics model for three-dimensional open-cell foams using a tetrakaidecahedral unit cell and Castigliano's second theorem[J].Composites science and technology,2003(12):1769-1781. |
[17] | 谢兰生,陈明和,童国权,高霖.开孔泡沫铝弹性性能的各向异性研究[J].机械工程材料,2003(12):7-9,16. |
[18] | Ji S;Wang Q;Xia B.Handbook of seismic properties of minerals,rocks and ores[M].Montreal:Polytechnic International Press,2002:630. |
[19] | Lloyd D L .Aspects of fracture in particulate reinforced metal matrix composites[J].Acta Metallurgica Et Materialia,1991,39:59. |
[20] | Grenestedt JL .Effective elastic behavior of some models for 'perfect' cellular solids[J].International Journal of Solids and Structures,1999(10):1471-1501. |
[21] | Gibson L J;Ashby M F.Cellular solids:Structure and properties[M].Oxford:pergamon Press,1988 |
[22] | 卢子兴;王仁;黄筑平 等.泡沫塑料力学性能研究综述[J].力学进展,1996,26(03):306. |
[23] | 卢子兴;赵明洁 .泡沫塑料力学性能研究进展[J].力学与实践,1998,20(02):1. |
[24] | 袁应龙,卢子兴.利用随机模型计算低密度开孔泡沫材料的弹性模量[J].航空学报,2004(02):130-132. |
[25] | Yurgartis S W .Measurement of small angle fiber misalignments in continuous fiber composites[J].Composites Science and Technology,1987,30(04):279. |
[26] | Bernd Lauke;Shao-Yun Fu .Strength anisotropy of misaligned short-fibre-reinforced polymers[J].Composites science and technology,1999(5):699-708. |
[27] | Jayaraman K.;Kortschot MT. .CORRECTION TO THE FUKUDA-KAWATA YOUNGS MODULUS THEORY AND THE FUKUDA-CHOU STRENGTH THEORY FOR SHORT FIBRE-REINFORCED COMPOSITE MATERIALS[J].Journal of Materials Science,1996(8):2059-2064. |
[28] | Thomason J L;Vlug M A .Influence of fiber length and concentration on the properties of glass fiber reinforced polypropylene:1.Tensile and flexural modulus[J].Compos:Part A,1996,27:477. |
[29] | Li K;Gao XL;Subhash G .Effects of cell shape and cell wall thickness variations on the elastic properties of two-dimensional cellular solids[J].International Journal of Solids and Structures,2005(5/6):1777-1795. |
[30] | Li K;Gao X L;Subhash G .Effects of cell shape and strut cross-sectional area variations on the elastic properties of three-dimensional open-c ell foams[J].Journal of the Mechanics and Physics of Solids,2000,54(04):783. |
[31] | Joachim L. Grenestedt;Franck Bassinet .Influence of cell wall thickness variations on elastic stiffness of closed-cell cellular solids[J].International Journal of Mechanical Sciences,2000(7):1327-1338. |
[32] | Vajjhala S;Kraynik AM;Gibson LJ .A cellular solid model for modulus reduction due to resorption of trabeculae in bone.[J].Journal of Biomechanical Engineering,2000(5):511-515. |
[33] | Grenestedt J L .Influence of cell shape variations on elastic[J].Scripta Materialia,1999,40(01):71. |
[34] | Grenestedt JL. .Influence of wavy imperfections in cell walls on elastic stiffness of cellular solids[J].Journal of the Mechanics and Physics of Solids,1998(1):29-50. |
[35] | James L Throne.Thermoplastic foams[M].Hinckley,Ohio:Sherwood Publishers,1996 |
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