Stress Intensity Factor Conventions

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The discussion centers on the definition and interpretation of the stress intensity factor, specifically \Delta K_1(m,a(m)) and its relation to \Delta K_1(m). The question posed is whether these two expressions are equivalent, given that the textbook refers to \Delta K_1(m) as the mode 1 stress intensity factor. The response indicates that the equivalence depends on the conventions adopted in the specific text being referenced. Clarification on the definitions and conventions used in different contexts is essential for accurate understanding. Ultimately, the interpretation of these factors may vary based on the source material.
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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))

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The Attempt at a Solution

 
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That has to depend upon the conventions used by your particular text.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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