Three-Dimensional Thermoelastic Analysis of a Rotating Cylindrical Functionally Graded Shell Subjected to Mechanical and Thermal Loads Based on the FSDT Formulation

2019 ◽  
Keyword(s):  
Three Dimensional ◽  
Functionally Graded ◽  
Thermal Loads ◽  
Thermoelastic Analysis ◽  
Functionally Graded Shell

Coupled thermo-electro-mechanical analysis of sandwiched hybrid functionally graded elastic material and piezoelectric plates under thermal loads

2017 ◽  
Vol 232 (10) ◽  
pp. 1851-1870 ◽  
Author(s):  
Chih-Ping Wu ◽  
Shuang Ding
Keyword(s):  
Elastic Material ◽  
Material Properties ◽  
Convergence Rates ◽  
Three Dimensional ◽  
Thermal Conditions ◽  
Mechanical Analysis ◽  
Functionally Graded ◽  
Thermal Loads ◽  
Finite Layer ◽  
Finite Layer Methods

Based on Reissner’s mixed variational theorem, a weak-form formulation of finite layer methods is developed for the three-dimensional coupled thermo-electro-mechanical analysis of simply-supported, functionally graded elastic material plates integrated with surface-bonded piezoelectric layers and under thermal loads. The material properties of the functionally graded elastic material core are assumed to obey the power-law distributions varying through-the-thickness coordinate of the core according to the volume fractions of the constituents, and those of the functionally graded elastic material core and piezoelectric face sheets are also temperature dependent. The effective material properties of the functionally graded elastic material are estimated using the Mori-Tanaka scheme. Two different thermal conditions, i.e. the convection conditions and specified temperature conditions, on the top and bottom surfaces of the plate are considered. The accuracies and convergence rates of the finite layer methods with various orders used for expanding the elastic and electric variables in the thickness direction are assessed by comparing their solutions with the exact three-dimensional ones available in the literature.

Thermoelastic analysis of three-dimensional functionally graded rotating disks based on finite volume method

2013 ◽  
Vol 228 (4) ◽  
pp. 583-598 ◽  
Author(s):  
Jing-Feng Gong ◽  
Ping-Jian Ming ◽  
Ling-Kuan Xuan ◽  
Wen-Ping Zhang
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Material Properties ◽  
Three Dimensional ◽  
Least Square Method ◽  
Rotating Disk ◽  
Functionally Graded ◽  
Least Square ◽  
Thermoelastic Analysis ◽  
Volume Method

In this study, a finite volume method for the steady thermoelastic analysis of the functionally graded materials is presented. The method is validated in a benchmark case from the published paper. By incorporating the variation of material properties in the discretization process, the method is able to avoid discontinuous distributions of stresses. Two different formulations for the calculation of variable gradients are assessed. The numerical results show that the least square method achieves better performances than the Gaussian method but least square method costs slightly more iteration and computer memory under different mesh types. Then the method is applied to analyze thermoelastic problems of the functionally graded circular rotating disk under different conditions. The effects of thickness, material properties, reference temperature and temperature difference between the inner and outer surfaces on the thermoelastic performance of the disk have been studied.

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