空心球复合材料热弹性性质的一些精确结果

Some Exact Results Concerning Thermoelastic Properties of Hollow Sphere Composites

本文基于所提出的基体均匀场方法研究了空心球增强复合材料的热弹性性质·导出了均匀边界条件激发的局部热场和力学场量的关系，并进而得到了复合材料等效热弹性性质之间的精确关系·对于具有某种特定内外径比的空心球所构成的宏观各向同性复合材料，如果基体和空心球的热膨胀系数相同，可以证明其等效体积模量和线膨胀系可以精确地确定·

Thermoelastic properties of hollow sphere composites are studied, based on the uniform matrix_field concept proposed here. Some connections between local thermal and mechanical fields produced by certain homogeneous boundary conditions are derived, and furthermore, exact relations are also obtained between the effective thermoelastic properties of the composites. For a macroscopically isotropic composite with a certain ratio of the outer radius to the inner radius, it is found that the effective bulk modulus and the linear coefficient of thermal expansion can be exactly determined, if the thermal expansion coefficient of the matrix and that of the sphere are the same.