S. Yi et al., Large deformation finite element analyses of composite structures integrated with piezoelectric sensors and actuators, FINITE EL A, 35(1), 2000, pp. 1-15
Nonlinear dynamic responses of structures integrated with piezoelectric mat
erials are studied. Finite element formulations are derived on the basis of
the updated Lagrangian formulation and the principle of virtual work. Twen
ty-node solid elements including electrical degrees of freedom are develope
d to analyze structures with piezoelectric sensors and actuators and multip
oint constraints for electrical degrees of freedom are utilized to simulate
electrodes. A limited number of numerical examples are presented in order
to verify the accuracy and convergence of the present formulation and to de
monstrate its usefulness for and applicability to solutions of large deform
ation dynamic responses of piezoelectric structures. (C) 2000 Elsevier Scie
nce B.V. All rights reserved.