Complex-potential method in the nonlinear theory of elasticity

2000 ◽  
Vol 41 (1) ◽  
pp. 120-130
Author(s):  
V. D. Bondar'
Keyword(s):  
Nonlinear Theory ◽  
Complex Potential ◽  
Potential Method ◽  
Theory Of Elasticity ◽  
Complex Potential Method ◽  
Nonlinear Theory Of Elasticity

A Study of Spur Gear Geometry Factor Through Complex Potential Analysis

1989 ◽  
Vol 111 (3) ◽  
pp. 433-438 ◽  
Author(s):  
A. Cardou ◽  
G. V. Tordion
Keyword(s):  
Complex Potential ◽  
Sliding Friction ◽  
Spur Gear ◽  
Potential Method ◽  
Theory Of Elasticity ◽  
Spur Gears ◽  
Geometry Factor ◽  
The Coefficient Of Friction ◽  
Bending Stresses ◽  
Complex Potential Method

Bending stresses in spur gears have been obtained analytically using the Complex Potential Method of the two-dimensional theory of elasticity and conformal mapping of the tooth profile. Effects of profile shift and sliding friction on geometry factor have been studied for 20 deg pressure angle and numbers of teeth ranging from 20 to 150. It has been shown how these results can be applied to obtain a geometry factor corrected to include either the profile or the coefficient of friction effect in a given gear pair.

Complex Analysis of Plane Problem of Two-Dimensional Quasicrystals

2012 ◽  
Vol 236-237 ◽  
pp. 52-54
Author(s):  
Lin Yang ◽  
Qin He ◽  
Shu Yong Zhou ◽  
Wu Li
Keyword(s):  
Stress Concentration ◽  
Plane Problem ◽  
Complex Potential ◽  
Fracture Behavior ◽  
Complex Analysis ◽  
Potential Method ◽  
Two Dimensional ◽  
Complex Potential Method ◽  
Important Significance

The fracture behavior of materials and structures are always caused by stress concentration near the defects in materials. This article describes the complex potential method for solving plane problems of quasicrystalline materials with defects. In order to prove effectiveness and success of the method, an example is given, and the results have very important significance in studying two-dimensional quasicrystals.

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