The area under the linear portion of a stress-strain curve is the resilience of the material

Resilience is the property of a material to absorb energy when it is deformed elastically and then, upon unloading to have this energy recovered. In other words, it is the maximum energy per unit volume that can be elastically stored. It is represented by the area (integral) under the curve in the elastic region (the initial, linear portion) of the stress-strain curve; this quantity is also known as the elastic potential energy of a material.

The modulus of resilience is defined as the 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 and dividing by the original volume of the specimen.

Modulus of resilience, Ur, can be calculated using the following formula:  U_r=\frac{\sigma_y^2}{2E}=\frac{1}{2} \sigma_y \varepsilon_y, where σy is yield stress, E is Young's modulus, and εy is the strain at the yield stress.[1]

An example of a biomaterial which has a high resilience is articular cartilage, the substance lining the ends of bones in articulating joints such as the knee and hip.

It might be different from rebound resilience, which is used for instance in relation with foam.

The maximum energy which can be stored in a body up to elastic limit is called proof resilience.


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  • Resilience — Résilience (physique) Pour les articles homonymes, voir Résilience. Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Le terme résilience désigne la capacité pour un matériau à résister à la rupture. C… …   Wikipédia en Français

  • resilience — e*sil i*ence (r[ e]*z[i^]l [i^]*ens), resiliency e*sil i*en*cy (r[ e]*z[i^]l [i^]*en*s[y^]), n. 1. The act of springing back, rebounding, or resiling; as, the resilience of a ball or of sound. [1913 Webster] 2. The power or inherent property of… …   The Collaborative International Dictionary of English

  • Resilience — Resilience. См. Средняя удельная работа деформации. (Источник: «Металлы и сплавы. Справочник.» Под редакцией Ю.П. Солнцева; НПО Профессионал , НПО Мир и семья ; Санкт Петербург, 2003 г.) …   Словарь металлургических терминов

  • resilience — (n.) 1620s, from L. resiliens, prp. of resilire to rebound, recoil, from re back (see RE (Cf. re )) + salire to jump, leap (see SALIENT (Cf. salient)). Cf. RESULT (Cf. result) …   Etymology dictionary

  • resilience — [ri zil′yəns, ri zil′ē əns] n. the quality of being resilient; esp., a) the ability to bounce or spring back into shape, position, etc. b) the ability to recover strength, spirits, good humor, etc. quickly; buoyancy: Also resiliency …   English World dictionary

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  • resilience — re|sil|i|ence [rıˈzıliəns] n also re|sil|i|en|cy [ ənsi][U] 1.) the ability to become strong, happy, or successful again after a difficult situation or event →↑toughness resilience of ▪ the resilience of youth ▪ People showed remarkable… …   Dictionary of contemporary English