Elasticity solutions are presented for bending and thermal deformations of functionally graded beams with various end conditions, using the state space-based differential quadrature method. The beams are assumed to be macroscopically isotropic, with Young's modulus varying exponentially along the thickness and longitudinal directions, while Poisson's ratio remaining constant. The state space method is adopted to obtain analytically the thickness variation of the elastic field and, when coupled with differential quadrature, the longitudinal discretization can be analyzed in an approximate manner. This approach is then validated by comparing the numerical results with the exact solutions for a special functionally graded beam and with finite element solutions. The influences of material gradient indices on the response of bi-directional functionally graded beams are finally investigated.
A sulfoaluminate cement was, for the first time, used to fabricate 0-3 piezoelectric
composites by a compressing technique. The dependences of the piezoelectric properties of
composites on the content of PZT and poling conditions are discussed. The results show
that the piezoelectric properties of composites are improved by increasing the poling field
E and poling
time t,
but when E
and t
exceeded 4.0 kV mm−1
and 45 min, d33
tends to be constant. The piezoelectric constants and the electromechanical coupling coefficients
Kp,
Kt of
composites increase rapidly with increasing the content of PZT. When the content of PZT reaches
85%, Kp
and Kt
are 28.54% and 28.19%, respectively.
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