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Effective Specific Heats of Multi-Phase Thermoelastic Composites

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Abstract

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.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, 100871, China

    Yongqiang Chen, Ruchao Huang & Zhuping Huang

  2. Department of Civil and Environmental Engineering, University of California, Irvine, CA, 92697-2175, USA

    Lizhi Sun

Authors
  1. Yongqiang Chen
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  2. Ruchao Huang
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  3. Zhuping Huang
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  4. Lizhi Sun
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Corresponding author

Correspondence to Zhuping Huang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10602002 and 10932001) and the Major State Basic Research Development Program (No. 2010CB731503).

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Chen, Y., Huang, R., Huang, Z. et al. Effective Specific Heats of Multi-Phase Thermoelastic Composites. Acta Mech. Solida Sin. 25, 262–276 (2012). https://doi.org/10.1016/S0894-9166(12)60024-X

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60024-X

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