Toughness, in materials science and metallurgy, is the resistance to fracture of a material when stressed. It is defined as the amount of energy per volume that a material can absorb before rupturing.

Mathematical definition

Toughness can be found by taking the area (i.e., by taking the integral) underneath the stress-strain curve. The explicit mathematical description is:

: frac mbox{energy} mbox{volume} = int_{0}^{epsilon_f} sigma, depsilon

* epsilon is strain
* epsilon_f is the strain upon failure
* sigma is stress

Another definition is the ability to absorb mechanical (or kinetic) energy up to failure.

Toughness tests

Tests can be done by using a pendulum and some basic physics to measure how much energy it will hold when released from a particular height. By having a sample at the bottom of its swing a measure of toughness can be found, as in the Charpy and Izod impact tests.

Unit of toughness

Toughness is measured in units of joules per cubic metre (J/m³) in the SI system and inch-pound-force per cubic inch (in·lbf/in³) in US customary units.

ee also

* Fracture toughness
* Graph toughness
* Hardness

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Look at other dictionaries:

  • Toughness — Tough ness, n. The quality or state of being tough. [1913 Webster] …   The Collaborative International Dictionary of English

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  • toughness —  Toughness  Ударная вязкость   Способность материала поглощать механическую энергию в процессе деформации и разрушения под действием ударной нагрузки. Обычно оценивается работой, необходимой для деформации и разрушения призматического образца с… …   Толковый англо-русский словарь по нанотехнологии. - М.

  • toughness — tough ► ADJECTIVE 1) strong enough to withstand wear and tear. 2) able to endure hardship, adversity, or pain. 3) strict and uncompromising. 4) involving considerable difficulty or hardship. 5) rough or violent. 6) used to express a lack of… …   English terms dictionary

  • toughness — noun see tough I …   New Collegiate Dictionary

  • toughness — See toughly. * * * …   Universalium

  • toughness — noun a) The state of being tough b) Resistance to fracture when stressed …   Wiktionary

  • toughness — Synonyms and related words: Spartanism, abstruseness, adamantness, adhesiveness, arduousness, astringency, austerity, authoritarianism, backbone, body, bothersomeness, bottom, bullheadedness, burdensomeness, callosity, callousness, chutzpah,… …   Moby Thesaurus

  • toughness — (Roget s Thesaurus II) noun 1. The fact or condition of being rigorous and unsparing: austerity, hardness, harshness, rigidity, rigor, rigorousness, severity, sternness, strictness, stringency. See EASY. 2. Unwavering firmness of character,… …   English dictionary for students