# Stress-Strain Relationship for Linear Elastic Materials

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**Formula:**`σ = Eε`

## Introduction to Stress-Strain Relationship for Linear Elastic Materials

The stress-strain relationship for linear elastic materials is given by the formula ** σ** =

*****

*E***. Here,**

*ε***represents stress,**

*σ***represents the elastic modulus, and**

*E***represents strain.**

*ε*## Parameter usage:

`E`

= elastic modulus of the material`ε`

= strain experienced by the material

## Output:

`σ`

= stress experienced by the material

## Data validation:

The elastic modulus `E`

and strain `ε`

should be real numbers.

## Mathematical Background:

This formula represents Hooke's law for linear elastic materials, expressing the relationship between stress and strain. It is the fundamental law governing the behavior of linear elastic materials under loads.

## Practical Applications:

Engineering, material science, and mechanics heavily rely on understanding and applying the stress-strain relationship to predict the behavior of materials under different loading conditions.

Tags: Material Science, Stress Strain, Elasticity