Acta Mechanica Solida Sinica

, Volume 25, Issue 3, pp 262–276 | Cite as

Effective Specific Heats of Multi-Phase Thermoelastic Composites

  • Yongqiang Chen
  • Ruchao Huang
  • Zhuping Huang
  • Lizhi Sun


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.

Key words

composite materials effective specific heat micromechanics free energy thermoelasticity 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • Yongqiang Chen
    • 1
  • Ruchao Huang
    • 1
  • Zhuping Huang
    • 1
  • Lizhi Sun
    • 2
  1. 1.Department of Mechanics and Engineering Science, College of EngineeringPeking UniversityBeijingChina
  2. 2.Department of Civil and Environmental EngineeringUniversity of CaliforniaIrvineUSA

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