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In [[mechanical engineering]], many terms are associated into pairs called '''duals'''. A dual of a relationship is formed by interchanging force (stress) and deformation (strain) in an expression.


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Here is a partial list of mechanical dualities:
 
* [[force]] &mdash; [[deformation (engineering)|deformation]]
* [[stress (physics)|stress]]  &mdash; [[Strain (materials science)|strain]]
* [[stiffness method]] &mdash; [[flexibility method]]
 
== Examples ==
 
=== Constitutive relation ===
 
* stress and strain ([[Hooke's law]].)
 
:: <math>\sigma = E \varepsilon \iff \varepsilon = \frac{1}{E} \sigma \, </math>
 
==See also==
 
*[[Duality (electrical circuits)]]
 
==References==
 
* Fung, Y. C., ''A First Course in CONTINUUM MECHANICS'', 2nd edition, Prentice-Hall, Inc. 1977
 
[[Category:Mechanical engineering]]
[[Category:Duality theories|Mechanical engineering]]

Latest revision as of 06:46, 6 April 2013

In mechanical engineering, many terms are associated into pairs called duals. A dual of a relationship is formed by interchanging force (stress) and deformation (strain) in an expression.

Here is a partial list of mechanical dualities:

Examples

Constitutive relation

See also

References

  • Fung, Y. C., A First Course in CONTINUUM MECHANICS, 2nd edition, Prentice-Hall, Inc. 1977