A unified macro- and micromechanics constitutive model of fully coupled electro-magneto-thermo-elastic multiphase functional composites is developed. The model is based on the hypothesis of periods, the theory of uniformity, and the finite-volume direct averaging micromechanics (FVDAM). By introducing quadratic displacements and electric and magnetic potentials into the constitutive model, its accuracy is improved. The efficiency of the model is also raised by adopting surface-averaged quantities to be the primary variables of the original FVDAM. A numerical example is presented, and a relation between material constants and the fiber volume fraction is obtained.
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Acknowledgment
The partial support of this project provided by the National Basic Research Program of China, the National Natural Science Foundation of China (51075204), the Aeronautical Science Foundation of China (2012ZB52026), the Research Fund for the Doctoral Program of Higher Education of China (20070287039), and the NUAA Research Funding (NZ2012106) is gratefully acknowledged.
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 50, No. 2, pp. 327-342, March-April, 2014.
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Sun, Z., Niu, X., Huang, S. et al. A Unified Macro- and Micromechanics Constitutive Model of Fully Coupled Fields. Mech Compos Mater 50, 233–244 (2014). https://doi.org/10.1007/s11029-014-9410-6
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DOI: https://doi.org/10.1007/s11029-014-9410-6