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| | The writer is called Araceli Gulledge. Her family members lives in Idaho. Interviewing is what I do for a residing but I strategy on changing it. Playing crochet is something that I've done for years.<br><br>Feel free to surf to my homepage [http://Goodgogame.com/profile/544101/WiAultman.htm goodgogame.com] |
| [[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]]
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| '''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,
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| :<math> U_{r}= \frac{\sigma_{y}^2}{2E}</math>
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| where ''U<small>r</small>'' is the modulus of resilience, ''σ<small>y</small>'' 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>
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| ==Unit of Resilience==
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| Resilience (''U''<sub>r</sub>) is measured in a unit of [[joule]] per [[cubic metre]] (J·m<sup>–3</sup>) in the [[SI]] system, ''i.e.'' elastical deformation energy per volume of test specimen (merely for gage-length part).
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| Like the unit of tensile [[toughness]] (''U''<sub>T</sub>), 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>
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| ''U''<sub>r</sub> = Area underneath the stress–strain (''σ''–''ε'') curve = ''σ'' × ''ε''
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| ''U''<sub>r</sub> = MPa × % = (N·m<sup>−2</sup>·10<sup>6</sup>)·(m·m<sup>–1</sup>·10<sup>–2</sup>)
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| ''U''<sub>r</sub> = N·m·m<sup>–3</sup>·10<sup>4</sup>
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| '''''U''<sub>r</sub> = J·m<sup>–3</sup>·10<sup>4</sup>'''
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| ==References==
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| {{Reflist|colwidth=70em}}
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| [[Category:Elasticity (physics)]]
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| {{classicalmechanics-stub}}
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| [[hu:Reziliencia]]
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| [[simple:Resilience]]
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| [[sr:Резилијенција]]
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The writer is called Araceli Gulledge. Her family members lives in Idaho. Interviewing is what I do for a residing but I strategy on changing it. Playing crochet is something that I've done for years.
Feel free to surf to my homepage goodgogame.com