Abstract
The present work considers fiber reinforced composite materials in which the fibers have more than just a stiffening function. The composite is assumed to be composed of a non-conducting matrix reinforced with electroelastic fibers that conduct both current and heat in addition to supporting an applied load. The material system is treated as equivalent homogenized material that is nonlinearly elastic and transversely isotropic with the fiber direction as the direction of transverse isotropy. General constitutive equations are developed for the stress, polarization vector, current density vector and heat flux in terms of the deformation, electric field vector and temperature gradient. From these the special constitutive equations are extracted for a non-conducting matrix with conducting reinforcing fibers.
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Wineman, A., Rajagopal, K.R. A constitutive theory for multi-functional fiber reinforced composites. Acta Mech 226, 2671–2679 (2015). https://doi.org/10.1007/s00707-015-1345-z
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DOI: https://doi.org/10.1007/s00707-015-1345-z