Definition:Permanent Set
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Definition
Let a body $\BB$ be deformed under stress.
Consider the following stress-strain diagram.
Let $\BB$ be subjected to stress which takes the stress-strain diagram out of the elastic region and into the plastic region.
When the stress is removed, and $\BB$ no longer returns to its original shape, its deformed shape is known as a permanent set.
Consider the following stress-strain diagram:
$OF$ represents the permanent set of $\BB$ after it has been subjected to the stress which has been removed at point $C$.
Also known as
A permanent set is also known as just a set, but the latter is ubiquitous in mathematics to mean something completely different.
Also see
- Results about permanent set can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hooke's law
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hooke's law