Hooke Law (Linear Elasticity)
type: Item
instance of: mathematical expression
defining formula: 𝝈 = 𝖢 : 𝜺 where 𝜺 ( u ) = 1 2 ( ∇ u + ( ∇ u ) T )
in defining formula: 𝖢
in defining formula: 𝜺
in defining formula: 𝝈
in defining formula: u
description: 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.
Wikidata QID: Q170282
community: MathModDB
MaRDI profile type: MaRDI formula profile
specialized by: Hooke Law (Spring)
related URL: Linear elasticity
named after: Robert Hooke
description: force to extend or compress a spring by distance scales linearly with distance