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stress singularity and stress relationship

msd.jacob's picture

Dear All 

Williams analysis is well known for stress singularity. Actually when we are analysing the stress distributions between two diffrent configuration which is given below ,based on the stress singularity, I got a doubt...how the order of stress singularity is directly related with the stress. (we can get the relationship using equation) however if i want to explain to a student who never come across with applied mechanics. How can we explain to him in very simple and understandable manner.   

 If any one can define the relationship between the order of stress singularity with the stress tensor

1. At the crack edge

2. At the contact edge 

Thanks in advance

Comments

Dear Mr. Jacob,

I am student working in the crack development in filled elastomers and I effectively saw mentioned in a certain number of papers the "theory of singularity". For me the relationship between stress and the order of a singularity is not obvious. I wondered if you knew papers where this theory of singularity of crack tips in rubber was explained.

 Thank you for help.

 Sorry for not being enough gifted to answer your topic.

 infinity

msd.jacob's picture

Hi,

Stress singularity is basically a mathematical definition for stress at a crack tip. As we know when r -> 0 stress tends to infinity. It is termed as singular stress or stress singularity. There are lot of papers related to stress and stress singularity. You can read this paper and the cross references.

Fretting fatigue crack initiation: An experimental and theoretical study
International Journal of FatigueVolume 29, Issue 7July 2007Pages 1328-1338”

 

You can give me your feed back about this paper and your comments.

 

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