Elastic modulus

Elastic modulus or Young's modulus is a fundamental property of materials that quantifies the relationship between stress (force per unit area) and strain (proportional deformation) in a material. It is a measure of a substance's ability to withstand changes in length when under lengthwise tension or compression.

Overview

The elastic modulus is a constant for any given material, meaning it does not change regardless of the amount of stress applied. It is a measure of the stiffness of a material, with a higher modulus indicating a stiffer material. The elastic modulus is typically measured in pascals (Pa), which are units of pressure.

Calculation

The elastic modulus is calculated by dividing the stress (force per unit area) by the strain (the change in length divided by the original length). This gives a value with units of pressure (pascals in the SI system).

Types of Elastic Modulus

There are several types of elastic modulus, including:

• Young's modulus - measures the resistance of a material to elastic (recoverable) deformation under load. A stiff material has a high Young's modulus and changes its shape only slightly under elastic loads (e.g., diamond).
• Shear modulus - measures the material's response to shear stress (like those experienced by a beam when it is used to support a weight).
• Bulk modulus - measures a substance's resistance to uniform compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.

Applications

The elastic modulus is used in a wide range of applications, including materials science, engineering, and physics. It is used to predict how much a material will deform under a given amount of stress, which can be useful in designing structures and materials.

See Also

• Stress (mechanics)
• Strain (mechanics)
• Hooke's law
• Materials science
• Engineering

References

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