Modeling for the electro-magneto-thermo-elastic properties of piezoelectric-magnetic fiber reinforced composites

Two micromechanics models, referred to as 'XY PEMFRC model' and 'YX PEMFRC model', are presented to investigate the electro-magneto-thermo-elastic properties for piezoelectric-magnetic fiber reinforced composite (PEMFRC) materials operating in the linear regime. These models exhibit full coupling relations between electric, magnetic, thermal and elastic fields. The required closed-form formulas for these two models are derived using the linear electro-magneto-thermo-elastic constitutive equations under the iso-field assumptions and multiple loading condition, and then are employed to study the effects of the piezoelectric-magnetic fiber volume fraction Vi and cross-sectional shape on the effective constants. A numerical study is conducted to discuss the convergence of the present models for a PEMFRC rectangle-cylinder unit cell. Quantitative and qualitative comparisons show that there is an excellent agreement between the present results and those using the Mori-Tanaka mean field approach [J Intelligent Mater Syst Struct 9 (1998) 404]. (C) 2002 Elsevier Science Ltd. All rights reserved.