EFFECTIVE SPECIFIC HEATS OF MULTI-PHASE THERMOELASTIC COMPOSITES |
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| Authors: | Yongqiang Chen Ruchao Huang Zhuping Huang Lizhi Sun |
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| Institution: | 2 ( 1 Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China) ( 2 Department of Civil and Environmental Engineering, University of California, Irvine, CA 92697-2175, USA) |
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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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| Keywords: | composite materials effective specific heat micromechanics free energy thermoelasticity |
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