# Stress-Strain Relationship for Linear Elastic Materials

 E: Ε:

Output: `Press calculate`

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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 * ε. Here, σ represents stress, E represents the elastic modulus, and ε represents strain.

## 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.