Sample codes for computing crack compliance functions using LEFM.
Errata for book ”Residual Stress Measurement and the Slitting Method”:
On page 16, sx(x,0) in Eqs. (2.20) and (2.23) should be sy(x,0).
Dr. Keith Jones pointed out two mistakes in his email on March 19, 2017:
I just wanted to write to you to let you know of a couple mistakes in your book Residual Stress Measurement and the Slitting Method,
in case you are not already aware of them and might print another edition. I found that the coefficients listed in TableB.1 used with Eqs. 4.11 and B.5 do not accurately represent the integral in equation B.4.
Using these coefficients, I was unable to reproduce the beam compliance functions calculated by the LEFM approach and shown in Figures 5.6 and 5.7.
When I calculatedthe integral in equation B.4 and plotted it versus the polynomial fit in Table B.1, they do not match.
When I created my own fit to the integral in equation B.4 and used it in calculations, I was able to reproduce Figures 5.6 and 5.7.
One other minor note -- in Equation A.2, the exponent on the term [1-sin(pi*a/2)]^2 should be 3 not 2 according to the Stress Analysis of Cracks Handbook by Hiroshi Tada.
Your text has been a great help to me in making residual stress measurements - I thank you for the excellent work.
Features to be added:
1. Sample program for computing slit compliance functions using Body-Force Method.
2. Sample program for computing crack/slit compliance functions of any 2-D part using FEM.