Stress Intensity Factor Conventions

  • Thread starter Thread starter sara_87
  • Start date Start date
  • Tags Tags
    Intensity Stress
sara_87
Messages
748
Reaction score
0

Homework Statement



The stress intensity factor is defined as:

\Delta K_1(m,a(m))=\Delta q(m)\sqrt{\pi*a(m)}

My question is: is \Delta K_1(m,a(m)) the same as \Delta K_1(m)

Because my book says: ''\Delta K_1(m) is the mode 1 stress intensity factor'' is that just the same as: \Delta K_1(m,a(m))

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
That has to depend upon the conventions used by your particular text.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top