Open Circular Hole in a Finite Plate Under Tension Treated by Airy Stress Function Method

2020 ◽  
pp. 311-330
Author(s):  
Nguyen-Hoang Minh ◽  
Wilfried Becker
Keyword(s):  
Circular Hole ◽  
Stress Function ◽  
Function Method ◽  
Airy Stress Function ◽  
Finite Plate ◽  
Open Circular ◽  
Stress Function Method

The Fault in the Stress Analysis of Pseudo-Stress Function Method

2004 ◽  
Vol 72 (4) ◽  
pp. 615-616 ◽  
Author(s):  
B. X. Xu ◽  
M. Z. Wang
Keyword(s):  
Stress Analysis ◽  
Imaginary Part ◽  
Stress Function ◽  
Function Method ◽  
Root Cause ◽  
Airy’S Stress Function ◽  
Stress Function Method ◽  
Crucial Assumption

Although Peng Yafei and his co-workers discovered some faults with the pseudo-stress function method suggested by Y. S. Lee in 1987, the authors did not provide convincing arguments. We investigate the crucial assumption in Lee’s method by rewriting it as the form of real part and imaginary part. Through a specific counterexample, we point out that the crucial assumption in Lee’s theory is untenable. Namely, for given Airy’s stress function, it cannot be guaranteed that the pseudo-stress function Λ(x,y) exists. The root cause of the fault with Lee’s method is found in this paper.

Asymptotic Expansions for the Thermal Stresses in Bonded Semi-Infinite Bimaterial Strips

1991 ◽  
Vol 113 (2) ◽  
pp. 173-177 ◽  
Author(s):  
Mikyoung Lee ◽  
I. Jasiuk
Keyword(s):  
Asymptotic Behavior ◽  
Conformal Mapping ◽  
Asymptotic Expansions ◽  
Function Method ◽  
Mellin Transform ◽  
Thermal Stresses ◽  
Plane Elasticity ◽  
Airy Stress Function ◽  
Stress Function Method ◽  
Plane Elasticity Problem

The plane elasticity problem of two semi-infinite bimaterial strips, that undergo constant temperature change, is considered. Following Bogy (1968), we use Airy stress function method, Mellin transform, and conformal mapping to investigate the asymptotic behavior of stresses at the interface near the edge of two strips.

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