Influences of elastic foundations and shear deformations on the buckling behavior of functionally graded material truncated conical shells under axial compression

2016 ◽  
Vol 24 (16) ◽  
pp. 1353-1366 ◽  
Author(s):  
Abdullah H. Sofiyev ◽  
Fethi Kadioglu ◽  
Nuri Kuruoglu
2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Abdul Ghafar Shah ◽  
Aalia Ali ◽  
Muhmmad Nawaz Naeem ◽  
Shahid Hussain Arshad

Vibrations of a cylindrical shell composed of three layers of different materials resting on elastic foundations are studied out. This configuration is formed by three layers of material in thickness direction where the inner and outer layers are of isotropic materials and the middle is of functionally graded material. Love shell dynamical equations are considered to describe the vibration problem. The expressions for moduli of the Winkler and Pasternak foundations are combined with the shell dynamical equations. The wave propagation approach is used to solve the present shell problem. A number of comparisons of numerical results are performed to check the validity and accuracy of the present approach.


2020 ◽  
Vol 80 ◽  
pp. 103921 ◽  
Author(s):  
José S. Moita ◽  
Aurélio L. Araújo ◽  
Victor Franco Correia ◽  
Cristóvão M. Mota Soares ◽  
José Herskovits

2016 ◽  
Vol 52 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Amlan Paul ◽  
Debabrata Das

In the present work, the non-linear post-buckling load–deflection behavior of tapered functionally graded material beam is studied for different in-plane thermal loadings. Two different thermal loadings are considered. The first one is due to the uniform temperature rise and the second one is due to the steady-state heat conduction across the beam thickness leading to non-uniform temperature rise. The governing equations are derived using the principle of minimum total potential energy employing Timoshenko beam theory. The solution is obtained by approximating the displacement fields following Ritz method. Geometric non-linearity for large post-buckling behavior is considered using von Kármán type non-linear strain-displacement relationship. Stainless steel/silicon nitride functionally graded material beam is considered with temperature-dependent material properties. The validation of the present work is successfully performed using finite element software ANSYS and using the available result in the literature. The post-buckling load–deflection behavior in non-dimensional plane is presented for different taperness parameters and also for different volume fraction indices. Normalized transverse deflection fields are presented showing the shift of the point of maximum deflection for various deflection levels. The results are new of its kind and establish benchmark for studying non-linear thermo-mechanical behavior of tapered functionally graded material beam.


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