# Hooke’s Law of Elasticity | Definition of Elastic Materials

Sunday, December 5, 2010 6:43**Hooke’s law of elasticity:**

In mechanics, and physics, Hooke’s law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress).

Behavior is linear, If shown on a graph, the line should show a direct

variation.

**Mathematical Form of Hookes Law:**

For systems that obey Hooke’s law, the extension produced is directly proportional to the load:

F=-kX Where

X=is the distance that the spring has been stretched or compressed away from the equilibrium position.

F=is the restoring force exerted by the material (usually in newtons), and

K=is the force constant (or spring constant). The constant has units of force per unit length (usually in newton per meter).

**Elastic Materials:**

Objects that quickly regain their original shape after being deformed by a force, with the molecules or atoms of their material returning to the initial state of stable equilibrium, often obey Hooke’s law.