Short definition of young's modulus?

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Homework Help Overview

The discussion revolves around the definition and understanding of Young's modulus, a concept in material science related to the behavior of materials under stress.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the definition of Young's modulus, with some questioning its interpretation as a measure of material behavior under pressure. Others provide mathematical expressions and physical interpretations related to stress and deformation.

Discussion Status

The discussion includes various interpretations of Young's modulus, with some participants offering mathematical formulations and physical insights. There is an acknowledgment of differing perspectives on its definition, but no explicit consensus has been reached.

Contextual Notes

Some participants reference specific conditions such as linear-elastic behavior and uniaxial deformation, indicating a focus on particular scenarios in which Young's modulus applies.

benhorris
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Can somebody give me a short defination of youngs modulus?

I think its the way a material acts under pressure, is this correct?
 
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The Young Modulus is proportionality constant between the stress and relative longitudinal deformation. The Young Modulus physical interpretetion is the resistance a solid has against stretching.

[tex]Y = \frac{\sigma}{\delta L}[/tex]
 
Last edited:
Young's modulus for linear-elastic tension / compression, Hookean material in its simplest form (uniaxial deformation like a rod or something like) :

[tex] E = \frac {\sigma L}{\delta} [/tex]

where [tex]\sigma[/tex] is the applied uniaxial stress, [tex]\delta[/tex] the displacement and L the length (initial) of the rod or reference in question (so in this form it is essentially a 1D construct with infinitesimal deformations).
 
Ok thanks guys. Great help, :-)
 

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