应用数学和力学2011，Vol.32Issue(11)：1283-1293,11.DOI:10.3879/j.issn.1000-0887.2011.11.003
残余界面应力对粒子填充热弹性纳米复合材料有效热膨胀系数的影响
Effects of Residual Interface Stress on Effective Thermal Expansion Coefficient of Particle-Filled Composite
摘要
Abstract
The "three configurations" based surface/interface energy theory proposed by Huang et al was used to study the effective properties of thermal elastic nanocomposites. Particular emphasis was placed on the discussions of the influence of the residual interface stress on the thermal expansion coefficient of the said composites. First, the thermo-elastic interface constitutive relations expressed in terms of the first kind Piola-Kirchhoff interface stress and the Lagrangian description of the generalized Young-Laplace equation were presented. Second, the Hashin' s composite sphere assemblage (CSA) was taken as the representative volume element (RVE), and the elastic deformations from the stress-free configuration to the reference configuration and from the reference configuration to the current configuration were calculated. Based on the above calculations, an analytical expression of the effective thermal expansion coefficient of thermo-elastic composite was derived. It is shown that the " residual" interface stress has a significant effect on the thermal expansion properties of the tliermo-elastic nanocomposites.关键词
纳米复合材料/热弹性/有效热膨胀系数/残余界面应力/尺度效应Key words
nanocomposites/ effective thermal expansion/ residual interface stress/ size-dependent分类
数理科学引用本文复制引用
黄汝超,陈永强..残余界面应力对粒子填充热弹性纳米复合材料有效热膨胀系数的影响[J].应用数学和力学,2011,32(11):1283-1293,11.基金项目
国家自然科学基金资助项目(10602002 （）
10932001) （）
973资助项目(2010CB731503) （2010CB731503）
