US EPA

325763 

Book/Book Chapter 

A comprehensive numerical homogenisation technique for calculating effective coefficients of uniaxial piezoelectric fibre composites 

Berger, H; Kari, S; Gabbert, U; Rodriguez-Ramos, R; Bravo-Castillero, J; Guinovart-Diaz, R 

2005 

Elsevier, Amsterdam, 

412 

53-60 

This work deals with the modelling of periodic composites made of piezoceramic (lead zirconate-titanat) fibres embedded in a soft non-piezoelectric matrix (polymer). The goal is to predict the effective coefficients of such periodic transversely isotropic piezoelectric fibre composites by use of a representative volume element or unit cell. The solution is based on a numerical approach using finite element method (FEM). The necessary basic equations for the piezoelectric material are introduced and the special concept for definition of generalised periodic boundary conditions for the unit cell is explained. For a composite with square arrangements of cylindrical fibres the algorithm is demonstrated and the extension to other fibre arrangements is shown. For different fibre volume fractions the results are compared with analytical solutions. (English) 

Homogenisation; Representative volume element; Piezoelectricity; Finite element method; Matériau renforcé fibre; Matériau piézoélectrique; Polymère; Plomb zirconate; Céramique piézoélectrique; Matériau composite; Fibre céramique; Contrainte cisaillement; Champ déformation; Solution analytique; Méthode analytique; Condition aux limites; Méthode élément fini; Simulation numérique; Elément volume représentatif; Modélisation; Piézoélectricité; 7784L; Fiber reinforced material; Piezoelectric materials; Polymers; Lead zirconates; Piezoceramic materials; Composite materials; Ceramic fiber; Shear stress; Strain distribution; Analytical solution; Analytical method; Boundary conditions; Digital simulation; Modelling; Material reforzado fibra; Fibra cerámica; Tensión cizallamiento; Campo deformación; Método analítico; Elemento volumen representativo 

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