scholarly journals Hybrid equilibrium element with high‐order stress fields for accurate elastic dynamic analysis

2021 ◽  
Author(s):  
Francesco Parrinello ◽  
Guido Borino
Keyword(s):  
Dynamic Analysis ◽  
High Order ◽  
Stress Fields ◽  
Order Stress

Analytical Solutions for Crack-Tip Higher Order Stress Fields in Thermal Barrier Coating

2008 ◽  
Vol 47-50 ◽  
pp. 1023-1026
Author(s):  
Yao Dai ◽  
Chang Qing Sun ◽  
Sun Qi ◽  
Wei Tan
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Functionally Graded ◽  
Stress Fields ◽  
Thermal Barrier ◽  
Barrier Coating ◽  
Graded Material ◽  
Stress Functions ◽  
Order Stress ◽  
Analytical Expressions

Analytical expressions for crack-tip higher order stress functions for a plane crack in a special functionally graded material (FGM), which has an variation of elastic modulus in 1 2 power form along the gradient direction, are obtained through an asymptotic analysis. The Poisson’s ratio of the FGM is assumed to be constant in the analysis. The higher order fields in the asymptotic expansion display the influence of non-homogeneity on the structure of crack-tip fields obviously. Furthermore, it can be seen from expressions of higher order stress fields that at least three terms must be considered in the case of FGMs in order to explicitly account for non-homogeneity effects on the crack- tip stress fields. These results provide the basis for fracture analysis and engineering applications of this FGM.

Dynamic analysis of spiral bevel and hypoid gears with high-order transmission errors

2018 ◽  
Vol 417 ◽  
pp. 149-164 ◽  
Author(s):  
J.J. Yang ◽  
Z.H. Shi ◽  
H. Zhang ◽  
T.X. Li ◽  
S.W. Nie ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
High Order ◽  
Hypoid Gears ◽  
Transmission Errors ◽  
Spiral Bevel
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