Central "through" crack with a concentrated load

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The discussion centers on the practical implications of a central through crack subjected to a concentrated load, with inquiries about real-world applications. Participants note that elliptical cracks are typically analyzed in fracture mechanics, particularly in relation to stress concentration factors. A specific example mentioned is the occurrence of stress cracks around rivet holes in aircraft, highlighting the relevance of the topic in aerospace engineering. The conversation emphasizes that while theoretical solutions exist, practical scenarios involving concentrated loads in cracks are less common, especially in ductile materials like rivets. Overall, the topic underscores the importance of understanding crack behavior in engineering contexts, particularly in aviation.
kajalschopra
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Hi, Please consider the problem below of a central through crack with a concentrated load as shown below.

Can someone please help where does one come across such a problem in a practical world?

How will I have a concentrated load opening the crack? In the physical world, what is that "concentrated load"?

Regards
Kajal
conc_load.gif
 

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I have never heard of an elliptical crack with a concentrated load. The usual case of an elliptical crack is as shown below:
upload_2018-9-7_17-37-11.png


The figure is from Advanced Strength of Materials, by J.P. Den Hartog. Elliptical cracks have a simple analytical solution that is valid for any ratio of b/a. They are used to calculate theoretical stress concentration factors for holes ranging from round all the way to sharp cracks. The general topic is Theory of Elasticity.
 

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The problem is in every textbook of Fracture Mechanics. Can someone please help - in what practical scenarios does one come across such a problem, it is mentioned ina text that the scenario occurs in cracks in rivet holes, however, I cannot understand how.
 
I cannot think of a practical scenario involving a concentrated load in a crack. It certainly does not apply to riveted joints because rivets are ductile, as is the material being riveted. Standard analysis methods for riveted connections assume ductility, so are not based on calculated stress concentration factors.
 

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