Difference between revisions of "Modulus of elasticity"

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(Created page with "An '''elastic modulus''' (also known as '''modulus of elasticity''') is a number that measures an object or substance's resistance to being deformed elastically (i.e., non-per...")
 
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An '''elastic modulus''' (also known as '''modulus of elasticity''') is a number that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a [[Stress (mechanics)|stress]] is applied to it. The elastic modulus of an object is defined as the [[slope]] of its [[stress–strain curve]] in the elastic deformation region:<ref>{{cite book| last = Askeland| first = Donald R.| last2 = Phulé| first2 = Pradeep P.| title = The science and engineering of materials| year = 2006| publisher = Cengage Learning| page = 198| edition = 5th| url = https://books.google.com/books?id=fRbZslUtpBYC&pg=PA198| isbn = 978-0-534-55396-8}}</ref> A stiffer material will have a higher elastic modulus. An elastic modulus has the form:
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An '''elastic modulus''' (also known as '''modulus of elasticity''') is a number that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a [[Stress (mechanics)|stress]] is applied to it. The elastic modulus of an object is defined as the [[slope]] of its [[stress–strain curve]] in the elastic deformation region.
  
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:<math>\lambda \ \stackrel{\text{def}}{=}\  \frac {\text{stress}} {\text{strain}}</math>
 
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where <var>[[stress (physics)|stress]]</var> is the force causing the deformation divided by the area to which the force is applied and <var>[[strain (materials science)|strain]]</var> is the ratio of the change in some parameter caused by the deformation to the original value of the parameter. If stress is measured in [[pascal (unit)|pascal]]s, then since strain is a dimensionless quantity, the units of <var>λ</var> will be pascals as well.<ref>{{cite book | last = Beer | first = Ferdinand P. | last2 = Johnston | first2 = E. Russell | last3 = Dewolf | first3 = John | last4 = Mazurek | first4 = David | title = Mechanics of Materials | year = 2009 | publisher = McGraw Hill | page = 56 | isbn = 978-0-07-015389-9}}</ref>
 
  
 
[[Category:Engineering]]
 
[[Category:Engineering]]

Revision as of 01:20, 9 August 2017

An elastic modulus (also known as modulus of elasticity) is a number that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it. The elastic modulus of an object is defined as the slope of its stress–strain curve in the elastic deformation region.

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