球面各向同性颗粒复合材料膨胀系数的界限

何陵辉; 刘人怀

球面各向同性颗粒复合材料膨胀系数的界限

何陵辉¹,
刘人怀²

1.
中国科学技术大学近代力学系二专业, 合肥 230026;
2.
暨南大学校长室, 广州 510652

计量
- 文章访问数: 1822
- HTML全文浏览量: 95
- PDF下载量: 462
- 被引次数: 0
出版历程
- 收稿日期: 1995-11-03
- 刊出日期: 1997-04-15

Bounds of the Expansion Coefficients of Composites Reinforced by Spherically Isotropic Particles

He Linghui¹,
Liu Renhuai²

1.
University of Science and Technology of China, Hefei230026, P. R. China;
2.
Ji'nan University, Guangzhou 510632, P. R. China

摘要

摘要: 本文致力于球面各向同性颗粒增强复合材料膨胀行为的研究.首先,在所提出的基体均匀场概念的基础上导出了该种复合材料等效膨胀系数与体积模量的精确关系,其次,由能量极值原理给出了等效体积模量的Paul型界限,从而得到等效膨胀系数的界限.
- composite /
- expansional behaviour /
- bounds
Abstract: The present paper is devoted to the study of expansional behaviours of a compositerein forced by spherically isotropic particles. An exact relation is derived between the effective expansion coefficient and bulk modulus of the composite by using the concept ofuniform fields in the matrix which is proposed here. Through obtaining the Paul-typebounds of the bulk modulus by using the extreme principle of energy, bounds of the effective expansion coefficient are also derivded.
- composite /
- expansional behaviour /
- bounds

HTML全文

参考文献(15)

[1]	Z.Hashin and S.Shtrikmann,A variational approach to the theory of elastic behaviour ofmultiphase materials,J Mech.Phys.Solids,11(1963),127～140.
[2]	Z.Hashin and S.Shtrikmann,On some variational principles in anisotropic andnonhomogeneous elasticity,J Mech.Phys.Solids,10(1962),335～342.
[3]	L.J.Walpole,On bounds for the overall elastic moduli of inhomogeneous systems-I,J.Mech.Phys.Solids,14(1966),151～162.
[4]	L.J.Walpole,On bounds for the overall elastic moduli of inhomogeneous systems-II,J.Mech.Phys.Solids,14(1966),289～301.
[5]	J.L.Willis,Bounds and self-consistent estimates for the overall properties of anisotropiccomposites,J.Mech.Phys.Solids,25(1977),185～202.
[6]	V.M.Levin,Thermal expansion coefficients of heterogeneous materials,Mekh.Tverdogo Tela,2(1967),88～94.
[7]	B.W.Rosen and Z.Hashin,Effective thermal expansion coefficients and specific heats ofcomposite materials,Int.J.Eng.Sci.,8(1970),157～173.
[8]	J.R.Dryden,Elastic constants of spherulitic polymers,J.Mech.Phys.Solids,36(1988),377～498.
[9]	T.Chen,Thermoelastic properties and conductivity of composites reinforced by sphericallyanisotropic particles,Mech.Mater.,14(1993),257～268.
[10]	G.J.Dvorak,Thermal expansion of elastic-plastic composite materials,J.Appl Mech.,53(1986),737～743.
[11]	G.J.Dvorak,On uniform fields in heterogeneous madia,Proc.R.Soc.Loud.,A431(1990),89 ～110.
[12]	B.Paul,Prediction of elastic constants of multiphase materials,Trans.of the ASME,218(1960),36～41.
[13]	W.Voigt,Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper,Wied.Ann.,38(1989),573～587.
[14]	A.Reuss,Berechmung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle,ZAMM,9(1929),49～58.
[15]	Z.Hashin,The elastic moduli of heterogeneous materials,J.Appl Mech.,29(1962),143～150.