Understanding the Stress Induced in Cylindrical Nanowires: Equations 12-13

AI Thread Summary
The discussion focuses on understanding the stress induced in cylindrical nanowires, specifically regarding equations 12 and 13 from a referenced article. Participants clarify that these equations derive from a 3D application of Hooke's law for isotropic materials. A link to additional resources on Hooke's law is provided to aid comprehension. The original poster expresses a lack of familiarity with the mathematical concepts involved due to their background in electrical engineering. Overall, the conversation emphasizes the importance of foundational knowledge in material science for interpreting the equations.
StellenboschS
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Hi,

I came across a piece of maths with which I am struggling to find info on. It has to do with the stress induces in a cylindrical shaped wire (nanowire to be precise).
The article where the maths appear is attached. The specific problem is in equations 12 through 13.

Thanks
 

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Can you be more specific about what you are not understanding in those equations?
 
I don't know how they derived it. Is it standard equations?
 
Great, thanks for that. Seeing as I am an electrical engineer, I know nothing of these things!
 

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