Solution of the general equation of 𝑛th degree. Residue classes. Extension fields. Isomorphisms

2007 ◽  
pp. 33-48
Keyword(s):  
General Equation ◽  
Residue Classes

Modelling Electromigration and Induced Stresses In Aluminum Lines

1993 ◽  
Vol 309 ◽  
Author(s):  
R. Kirchheim
Keyword(s):  
Beneficial Effect ◽  
General Equation ◽  
Concentration Profiles ◽  
Simple Explanation ◽  
Vacancy Model ◽  
Induced Stresses

AbstractThe various equations used by different authors for describing electromigration are compiled. All of them can be derived from a general equation which is based on a vacancy model. During the derivation of simplified versions of the general equations assumptions have to be made and their effect on concentration profiles and/or electromigration stresses developing as a function of time are discussed. Consequences with respect to Blech's experiment or the current exponent in Black's equation are taken into consideration and a simple explanation is provided for the beneficial effect of a (111) texture on the reliability of Al-lines.

A general equation of motion for dislocation climb

1976 ◽  
Vol 24 (5) ◽  
pp. 463-467 ◽  
Author(s):  
M.J. Turunen
Keyword(s):  
General Equation ◽  
Equation Of Motion ◽  
Dislocation Climb

Line Contact Deformation: A Cylinder Between Two Flat Plates

1981 ◽  
Vol 103 (1) ◽  
pp. 21-25 ◽  
Author(s):  
M. R. Hoeprich ◽  
H. Zantopulos
Keyword(s):  
Plane Strain ◽  
General Equation ◽  
Roller Bearing ◽  
Experimental Results ◽  
Line Contact ◽  
Contact Deformation ◽  
Flat Plates ◽  
Special Cases ◽  
Analytical Work

Various line contact deformation equations used in roller bearing technology are analyzed. Many of these deformation equations, primarily involving plane strain, are shown to be special cases of a general equation derived in this paper. Experimental results are also presented to support the results of the analytical work.

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