Hooke Law (Linear Elasticity) (Q6674324): Difference between revisions
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T4 fiedler (talk | contribs) Changed claim: defining formula (P989): \sigma=C:\epsilon \text{ where } \epsilon(u)=\frac{1}{2}(\nabla u+(\nabla u)^T) |
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| Property / defining formula | Property / defining formula | ||
\sigma=C:\epsilon$ where $\epsilon(u)=\frac{1}{2}(\nabla u+(\nabla u)^T) | \sigma=C:\epsilon \text{ where } \epsilon(u)=\frac{1}{2}(\nabla u+(\nabla u)^T) | ||
Revision as of 15:46, 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 |
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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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