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2013-11-26T11:30:17Z

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[[File:Stress Strain Ductile Material.png|thumb|250px|The area under the linear portion of a stress-strain curve is the resilience of the material]]
'''Resilience''' is the ability of a material to absorb energy when it is [[Deformation (engineering)|deformed]] [[Elasticity (physics)|elastically]], and release that energy upon unloading. '''Proof resilience''' is defined as the maximum energy that can be absorbed within the elastic limit, without creating a permanent distortion. The '''modulus of resilience''' is defined as the maximum energy that can be absorbed per unit volume without creating a permanent distortion. It can be calculated by [[integral|integrating]] the [[stress-strain curve]] from zero to the elastic limit. In uniaxial tension,

:<math> U_{r}= \frac{\sigma_{y}^2}{2E}</math>
where ''Ur'' is the modulus of resilience, ''σy'' is the [[Yield (engineering)|yield strength]], and ''E'' is the [[Young's modulus]].<ref>{{cite book |title=Elements of Metallurgy and Engineering Alloys |first=Flake C. |last=Campbell |year=2008 |publisher=ASM International |isbn=9780871708670 |page=206}}</ref>

==Unit of Resilience==
Resilience (''U''r) is measured in a unit of [[joule]] per [[cubic metre]] (J·m–3) in the [[SI]] system, ''i.e.'' elastical deformation energy per volume of test specimen (merely for gage-length part).

Like the unit of tensile [[toughness]] (''U''T), the unit of resilience can be easily calculated by using area underneath the stress–strain (''σ''–''ε'') curve, which gives resilience value, as given below:<ref>{{cite journal|author=O.Balkan and H.Demirer|title=Polym. Compos.|volume=31|page=1285|year=2010|ISSN=1548-0569}}</ref>

''U''r = Area underneath the stress–strain (''σ''–''ε'') curve = ''σ'' × ''ε''

''U''r = MPa × % = (N·m−2·106)·(m·m–1·10–2)

''U''r = N·m·m–3·104

'''''U''r = J·m–3·104'''

==References==
{{Reflist|colwidth=70em}}

[[Category:Elasticity (physics)]]

{{classicalmechanics-stub}}

[[hu:Reziliencia]]
[[simple:Resilience]]
[[sr:Резилијенција]]

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