Short definition of young's modulus?

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Young's modulus is a measure of a material's elasticity, defined as the ratio of stress to strain in the linear elastic region of deformation. It quantifies how much a material will deform under applied pressure, indicating its resistance to stretching. The formula for Young's modulus is E = σ/ε, where σ is the applied stress and ε is the strain. This concept is primarily applicable to Hookean materials undergoing uniaxial deformation, such as rods. Understanding Young's modulus is essential for predicting material behavior in engineering and construction applications.
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 resistence a solid has against stretching.

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

<br /> E = \frac {\sigma L}{\delta} <br />

where \sigma is the applied uniaxial stress, \delta 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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