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

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Discussion Overview

The discussion revolves around understanding the stress induced in cylindrical nanowires, specifically focusing on the derivation and application of equations 12 and 13 from a referenced article. The scope includes mathematical reasoning and conceptual clarification related to material stress in engineering contexts.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses difficulty in understanding the derivation of equations 12 and 13 related to stress in cylindrical nanowires.
  • Another participant confirms that the equations are based on a derivation of Hooke's law for isotropic materials in three dimensions.
  • A participant provides a link to a Wikipedia article on Hooke's law for further reference.
  • A later reply indicates a lack of familiarity with the topic due to the participant's background in electrical engineering.

Areas of Agreement / Disagreement

Participants generally agree that the equations are derived from established principles of Hooke's law, but there is no consensus on the specific understanding or application of those equations among all participants.

Contextual Notes

Some assumptions about the isotropic nature of materials and the specific conditions under which the equations apply may not be fully explored or clarified.

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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Engineering news on Phys.org
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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