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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 ''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> | |||
==Unit of Resilience== | |||
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). | |||
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> | |||
''U''<sub>r</sub> = Area underneath the stress–strain (''σ''–''ε'') curve = ''σ'' × ''ε'' | |||
''U''<sub>r</sub> = MPa × % = (N·m<sup>−2</sup>·10<sup>6</sup>)·(m·m<sup>–1</sup>·10<sup>–2</sup>) | |||
''U''<sub>r</sub> = N·m·m<sup>–3</sup>·10<sup>4</sup> | |||
'''''U''<sub>r</sub> = J·m<sup>–3</sup>·10<sup>4</sup>''' | |||
==References== | |||
{{Reflist|colwidth=70em}} | |||
[[Category:Elasticity (physics)]] | |||
{{classicalmechanics-stub}} | |||
[[hu:Reziliencia]] | |||
[[simple:Resilience]] | |||
[[sr:Резилијенција]] | |||
Revision as of 13:30, 26 November 2013
Resilience is the ability of a material to absorb energy when it is deformed 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 integrating the stress-strain curve from zero to the elastic limit. In uniaxial tension,
where Ur is the modulus of resilience, σy is the yield strength, and E is the Young's modulus.[1]
Unit of Resilience
Resilience (Ur) 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 (UT), 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:[2]
Ur = Area underneath the stress–strain (σ–ε) curve = σ × ε
Ur = MPa × % = (N·m−2·106)·(m·m–1·10–2)
Ur = N·m·m–3·104
Ur = J·m–3·104
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
Template:Classicalmechanics-stub
hu:Reziliencia simple:Resilience sr:Резилијенција
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