Response to the Authors’ reply to the Comment on “Vibration of turbomachinery rotating blades made-up of functionally graded materials and operating in a high temperature field”, doi:10.1007/s00707-010-0407-5

2011 ◽  
Vol 218 (3-4) ◽  
pp. 379-382
Author(s):  
S. A. Sina ◽  
H. Haddadpour
Keyword(s):  
Temperature Field ◽  
High Temperature ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Graded Materials ◽  
Rotating Blades

Model Development of the Application of Finite Element – Eigenvalue Method to the Determination of Transient Temperature Field in Functionally Graded Materials

2007 ◽  
Vol 18-19 ◽  
pp. 253-261
Author(s):  
John A. Akpobi ◽  
C.O. Edobor
Keyword(s):  
Finite Element ◽  
Temperature Field ◽  
Functionally Graded Materials ◽  
Model Development ◽  
Element Model ◽  
Steady State Solution ◽  
Functionally Graded ◽  
Transient Temperature ◽  
Graded Materials ◽  
Eigenvalue Method

In this paper, a finite elment-eigenvalue method is formulated to solve the finite element models of time dependent temperature field problems in non-homogeneous materials such as functionally graded materials (FGMs). The method formulates an eigenvalue problem from the original finite element model and proceeds to calculate the associated eigenvectors from which the solution can be obtained. The results obtained highly accurate and are exponential functions of time which when compared with the exact solution tended fast to the steady state solution.

Self-propagating high-temperature synthesis of functionally graded materials as thermal protection systems for high-temperature applications

2003 ◽  
Vol 18 (2) ◽  
pp. 448-455 ◽  
Author(s):  
N. Bertolino ◽  
M. Monagheddu ◽  
A. Tacca ◽  
P. Giuliani ◽  
C. Zanotti ◽  
...  
Keyword(s):  
High Temperature ◽  
Functionally Graded Materials ◽  
Thermal Protection ◽  
Functionally Graded ◽  
Temperature Synthesis ◽  
Thermal Tests ◽  
Graded Materials ◽  
Thermal Barriers ◽  
High Temperature Synthesis ◽  
Spatial Composition

Self-propagating high-temperature synthesis was used to prepare boride-based functionally graded materials (FGMs) as thermal barriers for space re-entry vehicles. FGMs are characterized by inhomogeneous spatial composition, resulting in different spatial characteristics. In this work, the FGMs were composed of a ceramic [i.e., MB2 (M = Ti, Zr, Hf)] and a metallic (i.e., NiAl) side, joined together by composite layers of graded stoichiometries of the two components. Thus, in the same material, the boride end gives thermal insulation, while the intermetallic end offers an easy junction to the structure of the space aircraft. The prepared FGMs showed good adhesion between the layers and global compactness after preparation and thermal tests. The microhardness along the samples was measured, and their insulating capabilities were evaluated.

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