Definition:Elastic Modulus
This page is about Elastic Modulus. For other uses, see Modulus.
Definition
An elastic modulus is a ratio of stress to strain for a body or a substance which obeys Hooke's Law.
Hence an elastic modulus is the slope of the linear region of a stress-strain diagram.
The type of elastic modulus is dependent on the type of strain under discussion.
Young's Modulus
Bulk Modulus
Let $B$ be an elastic body.
The bulk modulus of $B$ is a physical property of $B$ which measures its resistance to change in volume without change of shape.
It is defined as the ratio of compressive stress per surface area of $B$ to its change of volume per unit volume associated with this stress, assuming uniform pressure over the surface of $B$.
Rigidity Modulus
Also known as
An elastic modulus is also known as a modulus of elasticity.
Also see
- Definition:Elastic Constant, of which an elastic modulus is an example
- Results about elastic moduli can be found here.
Linguistic Note
The plural of modulus is moduli.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): elastic modulus
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): modulus: 5. (elastic modulus)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): elastic modulus
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): modulus: 5. (elastic modulus)