Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads

2016 ◽  
Vol 87 (2) ◽  
pp. 879-894 ◽  
Author(s):  
P. Phung-Van ◽  
Loc V. Tran ◽  
A. J. M. Ferreira ◽  
H. Nguyen-Xuan ◽  
M. Abdel-Wahab
Keyword(s):  
Shear Deformation ◽  
Functionally Graded Material ◽  
Isogeometric Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Mechanical Loads ◽  
Graded Material ◽  
Nonlinear Transient

Vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation and third-order shear deformation theory under thermal environment

2020 ◽  
pp. 107754632095166
Author(s):  
Chih-Chiang Hong
Keyword(s):  
Shear Deformation ◽  
Functionally Graded Material ◽  
Deformation Theory ◽  
Cylindrical Shells ◽  
Homogeneous Equation ◽  
Nonlinear Coefficient ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Third Order ◽  
Graded Material

The effects of third-order shear deformation theory and varied shear correction coefficient on the vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation under thermal environment are investigated. The nonlinear coefficient term of displacement field of third-order shear deformation theory is included to derive the fully homogeneous equation under free vibration of functionally graded material cylindrical shells. The determinant of the coefficient matrix in dynamic equilibrium differential equations under free vibration can be represented into the fully fifth-order polynomial equation, thus the natural frequency can be found. Two parametric effects of environment temperature and functionally graded material power law index on the natural frequency of functionally graded material thick cylindrical shells with and without the nonlinear coefficient term of displacement fields are computed and investigated.

An efficient shear deformation theory for wave propagation of functionally graded material plates

2016 ◽  
Vol 57 (5) ◽  
pp. 837-859 ◽  
Author(s):  
Ahmed Boukhari ◽  
Hassen Ait Atmane ◽  
Abdelouahed Tounsi ◽  
E.A. Adda Bedia ◽  
S.R. Mahmoud
Keyword(s):  
Wave Propagation ◽  
Shear Deformation ◽  
Functionally Graded Material ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Graded Material
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