3D electroelastic fields in a functionally graded piezoceramic hollow sphere under mechanical and electric loadings

2002 ◽  
Vol 72 (1) ◽  
pp. 39-51 ◽  
Author(s):  
W. Q. Chen ◽  
Y. Lu ◽  
G. R. Ye ◽  
J. B. Cai
Keyword(s):  
Hollow Sphere ◽  
Functionally Graded ◽  
Electroelastic Fields

Functionally Graded Hollow Sphere With Piezoelectric Internal and External Layers Under Asymmetric Transient Thermomechanical Loads

2017 ◽  
Vol 139 (5) ◽  
Author(s):  
M. Jabbari ◽  
S. M. Mousavi ◽  
M. A. Kiani
Keyword(s):  
Hollow Sphere ◽  
Legendre Polynomials ◽  
Radial Direction ◽  
Energy Equation ◽  
Separation Of Variables ◽  
Functionally Graded ◽  
Power Functions ◽  
Legendre Series ◽  
Piezoelectric Layers ◽  
Transient Thermal

In this paper, an analytical method is developed to obtain the solution for the two-dimensional (2D) (r,θ) transient thermal and mechanical stresses in a hollow sphere made of functionally graded (FG) material and piezoelectric layers. The FGM properties vary continuously across the thickness, according to the power functions of radial direction. The temperature distribution as a function of radial and circumferential directions and time is obtained solving the energy equation, using the method of separation of variables and Legendre series. The Navier equations are solved analytically using the Legendre polynomials and the system of Euler differential equations.

Magnetothermoelastic stress and perturbation of magnetic field vector in a functionally graded hollow sphere

2009 ◽  
Vol 80 (2) ◽  
pp. 189-200 ◽  
Author(s):  
Ghorbanpour Arani Ali ◽  
M. Salari ◽  
H. Khademizadeh ◽  
A. Arefmanesh
Keyword(s):  
Magnetic Field ◽  
Hollow Sphere ◽  
Field Vector ◽  
Functionally Graded ◽  
Magnetic Field Vector
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