Hooke Law (Linear Elasticity) (Q6674324): Difference between revisions

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ϵ

\epsilon

𝜺

\boldsymbol\varepsilon

Revision as of 15:53, 26 March 2025

force to extend or compress a spring by distance scales linearly with distance
Language Label Description Also known as
English
Hooke Law (Linear Elasticity)
force to extend or compress a spring by distance scales linearly with distance

    Statements

    𝝈=𝖢:𝜺 where 𝜺(u)=12(u+(u)T)
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    An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, $F = kx$. Also the stresses and strains of material inside a continuous elastic material are connected by a linear relationship that is mathematically similar to Hooke's spring law, and is often referred to by that name.
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    Identifiers

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