高体积百分比颗粒增强聚合物材料的有效粘弹性性质

李丹; 胡更开

高体积百分比颗粒增强聚合物材料的有效粘弹性性质

李丹¹,
胡更开^1,2

1.
北京理工大学应用力学系,北京 100081;2.北京理工大学爆炸灾害预防、控制国家重点实验室,北京 100081

基金项目: 国家自然科学基金资助项目(10325210)

详细信息

作者简介:
李丹(1982- ),女,山西人,博士;胡更开(1964- ),男,黑龙江人,教授,博士,博士生导师(联系人.Tel:+86O10O68912731;Fax:+86010068914780;E-mail:hugeng@bit.edu.cn).

中图分类号: O345；TB332
计量
- 文章访问数: 2900
- HTML全文浏览量: 139
- PDF下载量: 774
- 被引次数: 0
出版历程
- 收稿日期: 2006-10-10
- 修回日期: 2006-12-31
- 刊出日期: 2007-03-15

Effective Viscoelastic Behavior of Particulate Polymer Composites at Finite Concentration

LI Dan¹,
HU Geng-kai^1,2

1.
Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China;

摘要

摘要: 聚合物材料通常表现为粘弹性性质．为了改进聚合物材料的力学性能，通常将某种无机材料以颗粒或纤维的形式填充到聚合物中，从而得到增强、增韧的聚合物基复合材料．提出了一个新的细观力学模型，用于预测颗粒增强聚合物复合材料的有效粘弹性性质，尤其针对高体积百分比的颗粒夹杂复合材料，该方法基于Laplace变换和双夹杂相互作用的弹性模型．计算了玻璃微珠/ED-6复合材料的有效松弛模量以及恒应变率下的应力应变关系．计算结果表明在高体积百分比下该文方法比基于Mori Tanaka方法预测的粘弹性效应明显减弱．
- 颗粒增强 /
- 聚合物基复合材料 /
- 粘弹性 /
- 细观力学 /
- 高体积百分比
Abstract: Polymeric materials usually present some viscoelastic behavior.To improve the mechanical behavior of these materials,ceramics materials are often filled into the polymeric materials in form of fiber or particle.A micromechanical model was proposed to estimate the overall viscoelastic behavior for particulate polymer composites,especially for high volume concentration of filled particles.The method is based on Laplace transform technique and an elastic model including two-particle interaction.The effective creep compliance and the stress and strain relation at a constant loading rate were analyzed.The results show that the proposed method predicts a significantly stiffer response than those based on Mori-Tanaka's method at high volume concentration of particles.
- particulate polymer composite /
- viscoelasticity /
- micromechanics /
- finite concentration /

HTML全文

参考文献(26)

[1]	Johnson H D. Mechanical properties of high explosives[R]. Mason and Hanger-Silas Mason Company Inc,Pantex Plant Report,,1974,15.
[2]	Johnson H D.Mechanical properties of LX-10-1 evaluated with diametric disc test[R]. Mason and Hanger-Silas Mason Company Inc,Pantex Plant Report,1979,14.
[3]	董海山，周芬芬.高能炸药及相关物性能[M].北京：科学出版社，1989.
[4]	Hashin Z.Complex moduli of viscoelastic composite-I. General theory and application to particulate composites[J].Int J Solids Struct,1970,6(5):539-552. doi: 10.1016/0020-7683(70)90029-6
[5]	Wang Y M,Weng G J.Influence of inclusion shape on the overall viscoelastic behavior of composites [J].J Appl Mech,1992,59(3): 510-518. doi: 10.1115/1.2893753
[6]	Mori T,Tanaka K.Average stress in matrix and average elastic energy of materials with misfitting inclusions[J].Acta Metall Mater,1973,21(5):571-574. doi: 10.1016/0001-6160(73)90064-3
[7]	Brinson L C,Lin W S.Comparison of micromechanical methods for effective properties of multiphase visoelastic composites[J].Composite Structures,1998,41(3/4):353-367. doi: 10.1016/S0263-8223(98)00019-1
[8]	Ju J W,Chen T M.Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities[J].Acta Mech,1994,103(1/4):123-144. doi: 10.1007/BF01180222
[9]	Ma H L,Hu G K,Huang Z P.A micromechanical method for particulate composites with finite particle concentration[J].Mech Mater,2004,36(4):359-368. doi: 10.1016/S0167-6636(03)00065-6
[10]	Naguib H E,Park C B,Panzer U,et al.Strategies for achieving ultra low-density polypropylene foams[J].Polymer Engineering and　Science,2002,42(7):1481-92. doi: 10.1002/pen.11045
[11]	Hershey A V.The elasticity of an isotropic aggregate of anisotropic cubic crystals[J].J Appl Mech,1954,21(3):226-240.
[12]	Christensen R M,L0 K H.Solutions for effective shear properties in three phase space and cylinder model[J].J Mech Phys Solids,1979,27(4): 315-330. doi: 10.1016/0022-5096(79)90032-2
[13]	Ponte,Castaeda P,Willis J R.Effect of spatial distribution on the effective behavior of composite materials and cracked media[J].J Mech Phys Solids,1995,43(12):1919-1951. doi: 10.1016/0022-5096(95)00058-Q
[14]	Berryman J G,Berge P A.Critique of two explicit schemes for estimating elastic properties of multiphase composites[J].Mechanics of Materials,1996,22(2):149-164. doi: 10.1016/0167-6636(95)00035-6
[15]	Kuster G T,Toksoz M N.Velocity and attenuation of seismic waves in two-phase media: I Theoretical formulation[J].Geophysics,1974,39(5): 587-606. doi: 10.1190/1.1440450
[16]	Hori M,Nemat-Nasser S.Double-inclusion model and overall moduli of multi-phase composite[J].Mech Mater,1993,14(3):189-206. doi: 10.1016/0167-6636(93)90066-Z
[17]	Zheng Q S,Du D X.An explicit and universally applicable estimate for the effective properties of multiphase composite which accounts for inclusion distribution[J].J Mech Phys Solids,2001,49(11):2765-2788. doi: 10.1016/S0022-5096(01)00078-3
[18]	Hu G K,Weng G J.The connections between the double inclusion model and the Ponte Castaneda-Willis,Mori-Tanaka, and Kuster-Toksoz Model[J].Mech Mater,2000,32(8):495-503. doi: 10.1016/S0167-6636(00)00015-6
[19]	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(1):31-40. doi: 10.1007/BF01175978
[20]	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(3)：361-393.
[21]	Molinari A,Mouden M E.The problem of elastic inclusion at finite concentration[J].Int J Solids Struct,1996,33(20/22):3131-3150. doi: 10.1016/0020-7683(95)00275-8
[22]	Zeller R,Dederichs P H.Elastic constant of polycrystals[J].Phys Status Solidi B,1973,55(2): 831-842. doi: 10.1002/pssb.2220550241
[23]	Eshelby J D.The determining of the elastic field of an ellipsoidal inclusion and related problem[J].Proc Roy Soc Lond Ser A,1957,241(1226):376-396. doi: 10.1098/rspa.1957.0133
[24]	Percus J K,Yevick G J.Analysis of classical statistical mechanics by means of collective coordinates[J].Physical Review,1958,110(1):1-13. doi: 10.1103/PhysRev.110.1
[25]	周萧明，胡更开.高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究[J].应用数学和力学，2006，27（8）：891-898.
[26]	Skudra A M,Auzukalns Ya V.Creep and long-term strength of unidirectional reinforced plastics in compression[J].Poly Mech, 1970,6(5):718-722.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2900
HTML全文浏览量: 139
PDF下载量: 774
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

高体积百分比颗粒增强聚合物材料的有效粘弹性性质

作者简介:
李丹(1982- ),女,山西人,博士;胡更开(1964- ),男,黑龙江人,教授,博士,博士生导师(联系人.Tel:+86O10O68912731;Fax:+86010068914780;E-mail:hugeng@bit.edu.cn).

计量

Effective Viscoelastic Behavior of Particulate Polymer Composites at Finite Concentration

计量

目录

留言板

高体积百分比颗粒增强聚合物材料的有效粘弹性性质

作者简介: 李丹(1982- ),女,山西人,博士;胡更开(1964- ),男,黑龙江人,教授,博士,博士生导师(联系人.Tel:+86O10O68912731;Fax:+86010068914780;E-mail:hugeng@bit.edu.cn).

计量

出版历程

Effective Viscoelastic Behavior of Particulate Polymer Composites at Finite Concentration

计量

出版历程

目录

作者简介:
李丹(1982- ),女,山西人,博士;胡更开(1964- ),男,黑龙江人,教授,博士,博士生导师(联系人.Tel:+86O10O68912731;Fax:+86010068914780;E-mail:hugeng@bit.edu.cn).