Hooke's Law

A constitutive relation stating that, within the elastic limit, the restoring force (or stress) is proportional to displacement (or strain); commonly expressed for a spring as F = −k x and, in continuum elasticity, as linear relations between stress and strain.

Linear constitutive relation for elastic solids in the regime of small, reversible deformations stating that, within the material’s proportional limit, stress is proportional to strain; in uniaxial form σ = E·ε, where σ is normal stress, ε is engineering strain and E is the elastic (Young’s) modulus.

The linear constitutive relation valid within the elastic limit of a material that states stress is proportional to strain; in uniaxial form σ = E·ε where σ is nominal stress, ε is nominal strain and E is the elastic (Young's) modulus. It applies to reversible, time‑independent elastic deformation under small strains for materials that behave approximately linearly.