TY - CHAP

T1 - Finite Element Modeling for Coupled Electromechanical Behavior of Nonlinear Piezoelectric Shells as Material Surfaces

AU - Belyaev, A.K.

AU - Vetyukov, Yu.M.

PY - 2010

Y1 - 2010

N2 - It is shown that the constitutive equations and the dynamic boundary value problem for simple piezoelectric materials are derivable from the first and second laws of thermodynamics. The corresponding variational principle for the coupled electromechanical problem is applied for the problem of finite deformations of piezoelectric shells as material surfaces. This results both in the nonlinear system of equations of piezoelectric shells and in the appropriate numerical scheme. Results of finite element simulations are shown to be in correspondence with the solutions of a three-dimensional reference problem.

AB - It is shown that the constitutive equations and the dynamic boundary value problem for simple piezoelectric materials are derivable from the first and second laws of thermodynamics. The corresponding variational principle for the coupled electromechanical problem is applied for the problem of finite deformations of piezoelectric shells as material surfaces. This results both in the nonlinear system of equations of piezoelectric shells and in the appropriate numerical scheme. Results of finite element simulations are shown to be in correspondence with the solutions of a three-dimensional reference problem.

M3 - статья в сборнике

BT - Proceedings of 10th International Conference on Computational Structures Technology and 7th International Conference on Engineering Computational Technology

PB - Civil-Comp Press

ER -