这份报纸学习多相的 thermoelastic composites 的有效性质。把免费精力和吉布斯基于 Helmholtz 多相的 composites 的单个阶段,有效有弹性的张肌,热扩大的张肌,和特定的热的免费精力借助于体积一般水准被导出这些阶段免费精力。特别强调以经常紧张、经常压力的状况,修改 Eshelby 的 micromechanics 理论在被开发被放在有效的特定的热的新分析表情的推导上,在包括之间的相互作用被考虑。作为一个解说性的例子,为三阶段的 thermoelastic 的有效的特定的热的分析表示合成被介绍。
This paper studies the effective properties of multi-phase thermoelastic composites. Based on the Helmholtz free energy and the Gibbs free energy of individual phases, the effective elastic tensor, thermal-expansion tensor, and specific heats of the multi-phase composites are derived by means of the volume average of free-energies of these phases. Particular emphasis is placed on the derivation of new analytical expressions of effective specific heats at constant-strain and constant-stress situations, in which a modified Eshelby's micromechanics theory is developed and the interaction between inclusions is considered. As an illustrative example, the analytical expression of the effective specific heat for a three-phase thermoelastic composite is presented.