𝝈 = 𝖢 : 𝜺 where 𝜺 ( u ) = 1 2 ( ∇ u + ( ∇ u ) T )
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.
Hooke Law (Linear Elasticity)
force to extend or compress a spring by distance scales linearly with distance