A generalized self-consistent method for piezoelectric fiber reinforced composites under antiplane shear

摘要: Abstract A three-phase piezoelectric confocal elliptical cylinder model is proposed, and an exact solution obtained for the subjected to antiplane mechanical inplane electrical loads at infinity by using conformal mapping integrated with Laurent series expansion technique. Based on solution, a generalized self-consistent method developed predicting relevant effective electroelastic moduli of fiber reinforced composite, accounting variations in section shapes randomness distribution orientation. The dilute, self-consistent, differential Mori–Tanaka micromechanics theories composites are also extended consider orientation statistical sense. full comparison made among these five methods Hori Nemat-Nasser's rigorous upper lower bounds, which shows that can verify each other's results, whereas other may lead significant deviations, or even unacceptable results. Finally, as application proposed method, complex factors influence modulus discussed.