# Elastic potential energy( with respect to Length)

## Description

Elastic energy is the potential mechanical energy stored in the configuration of a material or physical system as work is performed to distort its volume or shape. Elastic energy occurs when objects are compressed and stretched. Components of mechanical systems will store elastic potential energy if they are deformed when forces are applied to the system. Elastic potential energy is related to the cross-sectional area through which the force is applied, the amount by which the length of the object changes and the original length of the object.

Related formulas## Variables

U_{e} | Elastic potential energy (J) |

E | Modulus of elasticity ( Young's modulus) (Pa) (Pa) |

A_{0} | The original cross-sectional area through which the force is applied (m^{2}) |

d_{L} | The amount by which the length of the object changes (m) |

L_{0} | The original length of the object (m) |