A complete system of equations of the weight function method for three-dimensional crack problems

1988 ◽  
Vol 38 (4) ◽  
pp. R71-R74 ◽  
Author(s):  
V. A. Vainshtok ◽  
I. V. Varfolomeyev
Keyword(s):  
Weight Function ◽  
Function Method ◽  
Complete System ◽  
Three Dimensional ◽  
System Of Equations ◽  
Weight Function Method ◽  
Crack Problems

Weight functions for T-stress for semi-elliptical surface cracks in finite-thickness plates

2005 ◽  
Vol 40 (5) ◽  
pp. 403-418 ◽  
Author(s):  
Xiao Yu ◽  
Xin Wang
Keyword(s):  
Weight Function ◽  
Function Method ◽  
Finite Thickness ◽  
Weight Functions ◽  
General Point ◽  
Surface Cracks ◽  
Weight Function Method ◽  
Aspect Ratios ◽  
Crack Problems ◽  
T Stress

This paper presents the application of the weight function method for the calculation of elastic T-stress for semi-elliptical surface cracks. First, the weight function method for the calculation of T-stress previously developed for two-dimensional crack problems was extended for the T-stress calculation for three-dimensional crack problems. Then, the T-stress weight functions for the deepest point (corresponding to the parametric angle ϕ = 90°) and for any general point (5° ≤ ϕ < 90°) along the crack front of semi-elliptical surface cracks in finite-thickness plates for wide ranges of crack aspect ratios a/c and relative depths a/t were derived. The resulting weight functions were validated using available finite element results for non-linear stress fields and remote tension and bending cases, and very good agreement was achieved. The weight functions are suitable for the calculation of the T-stress under complex loading conditions for any general point (5° ≤ ϕ ≤ 90°) of surface cracks with wide ranges of aspect ratios, 0 ≤ a/c ≤ 1, and relative depths, 0 ≤ a/t ≤ 0.8.

A weight function method for the assessment of partially closed three-dimensional plane cracks

2008 ◽  
Vol 75 (15) ◽  
pp. 4486-4500 ◽  
Author(s):  
Hugo López Montenegro ◽  
Adrián Pablo Cisilino ◽  
José Luis Otegui
Keyword(s):  
Weight Function ◽  
Function Method ◽  
Three Dimensional ◽  
Weight Function Method ◽  
Dimensional Plane
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