TY - JOUR
T1 - Static behavior of functionally graded magneto-electro-elastic shells under electric displacement and magnetic flux
AU - Wu, Chih Ping
AU - Tsai, Yi Hwa
N1 - Funding Information:
This work is supported by the National Science Council of Republic of China through Grant NSC 95-2211-E006-464.
PY - 2007/9
Y1 - 2007/9
N2 - Three-dimensional (3D) static behavior of doubly curved functionally graded (FG) magneto-electro-elastic shells under the mechanical load, electric displacement and magnetic flux is studied by an asymptotic approach. Without loss of generality, the material properties of the shells are regarded as heterogeneous through the thickness coordinate. The edge boundary conditions are considered as the full simple supports. The basic equations of 3D magneto-electro-elasticity are firstly reduced to the state-space vector equations by means of direct elimination. By introducing a geometric perturbation parameter and following the regular asymptotic expansion, we finally decompose the 3D problem as recursive sets of two-dimensional (2D) problems with governing equations of the coupled classical shell theory (CCST). It is shown that the 3D solutions can be obtained by repeatedly solving the CCST-type equations order-by-order in view of the recursive property among various order problems. Parametric studies for both the coupling magneto-electro-elastic effect and the influence of the gradient index of material properties on the structural behavior of various FG shells under magneto-electro-mechanical loads are presented.
AB - Three-dimensional (3D) static behavior of doubly curved functionally graded (FG) magneto-electro-elastic shells under the mechanical load, electric displacement and magnetic flux is studied by an asymptotic approach. Without loss of generality, the material properties of the shells are regarded as heterogeneous through the thickness coordinate. The edge boundary conditions are considered as the full simple supports. The basic equations of 3D magneto-electro-elasticity are firstly reduced to the state-space vector equations by means of direct elimination. By introducing a geometric perturbation parameter and following the regular asymptotic expansion, we finally decompose the 3D problem as recursive sets of two-dimensional (2D) problems with governing equations of the coupled classical shell theory (CCST). It is shown that the 3D solutions can be obtained by repeatedly solving the CCST-type equations order-by-order in view of the recursive property among various order problems. Parametric studies for both the coupling magneto-electro-elastic effect and the influence of the gradient index of material properties on the structural behavior of various FG shells under magneto-electro-mechanical loads are presented.
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U2 - 10.1016/j.ijengsci.2007.05.002
DO - 10.1016/j.ijengsci.2007.05.002
M3 - Article
AN - SCOPUS:34547699929
SN - 0020-7225
VL - 45
SP - 744
EP - 769
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 9
ER -