---
title: Young's Modulus
slug: youngs-modulus-99c41
url: /detay/youngs-modulus-99c41
type: article
language: Türkçe
entity:
  primary: Young's Modulus
  type: article
  disambiguation: Learn about Young's Modulus: a measure of material stiffness & elasticity.  Understand its calculation and applications.
  categories:
    - name: Havacılık Ve Uzay
      slug: havacilik-ve-uzay
      url: /kategori/havacilik-ve-uzay
    - name: Malzeme Bilimi, Metalürji Ve Maden
      slug: malzeme-bilimi-metalurji-ve-maden
      url: /kategori/malzeme-bilimi-metalurji-ve-maden
    - name: Savunma Sanayi Teknolojileri
      slug: savunma-sanayi-teknolojileri
      url: /kategori/savunma-sanayi-teknolojileri
  tags:
    - modulus of elasticity
    - Youngs Modulus
author: Elyesa Köseoğlu
created_at: 2025-05-29T22:39:56.017965+03:00
updated_at: 2025-06-13T10:55:36.815640+03:00
---

# Young's Modulus 

<!-- CONTEXT: Article Content for "Young's Modulus " -->

## Article Content

The concept of the [modulus of elasticity](/tr/detay/elastisite-young-modulu/llms.txt) was first introduced by the British physicist and physician **Thomas Young** in 1807. For this reason, the term is often referred to in the literature as **Young’s Modulus**. By developing this concept, Young provided a quantitative means of describing how materials deform under mechanical forces.

### **Definition**

The **modulus of elasticity (E)** is a measure of a material's tendency to deform when a force is applied. It quantifies the ratio of **stress** (force per unit area) to **strain** (relative deformation) within the **elastic region** of a material's behavior. In simple terms, it expresses how **stiff** or **flexible** a material is:

- A **high modulus** indicates that the material is **rigid** and resists deformation.
- A **low modulus** means the material is **flexible** and deforms more easily.

$E = \frac{σ}{𝜀}$

Where:

- E = Modulus of elasticity (Pa)
- $σ = Stress =\frac{F}{A}$
- $ε = Strain = \frac{ΔL}{L 0}$

### **Derivation and Basic Unit**

This value is derived from the **stress-strain curve** obtained during a **tensile** or **compression test**. In the **linear elastic region** of this curve, the **slope** of the line corresponds to the [modulus of elasticity](/tr/detay/elasticity-youngs-modulus-276f8/llms.txt).

This linear behavior is described by **Hooke’s Law**, given by the equation:

σ=E⋅ε

**Hooke’s Law** applies **only** within the [elastic](/tr/detay/elastic-deformation-b0a94/llms.txt) (linear) region. Once the material reaches the **plastic deformation** region, this linearity breaks down, and [Hooke’s Law](/tr/detay/hooke-yasasi-72aa4/llms.txt) is no longer valid. In such cases, the modulus may vary with the applied load.

The **SI unit** of the modulus of elasticity is the **Pascal (Pa)**, defined as:

$1 Pa = 1\frac{N}{m^2}$

In practice, larger units such as **MPa (10⁶ Pa)** or **GPa (10⁹ Pa)** are commonly used.

![Image](https://cdn.kureansiklopedi.com/media/uploads/2025/05/29/0wrwL0Fz7RjiLj3YM5LoOWdKm1QduqsF.png)
*Hooke's Law*

### **Example Materials**

E\_Steel = 2x10¹¹ N/m²

E\_Aluminum = 7x10¹⁰ N/m²

<!-- CONTEXT: Academic Sources and References for "Young's Modulus " -->

## Academic Sources and References

1. Shackelford, James F. Mühendisler İçin Malzeme Bilimine Giriş. İstanbul: Literatür Publications, 2018.