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elastic strain energy

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elastic strain energy [i′las·tik ′strān ‚en·ər·jē]
(mechanics)
The work done in deforming a solid within its elastic limit.


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[omicron]](T) stands for the Helmholtz free energy density of the unstressed state; the elastic strain energy density is conventionally defined as [[Florin].
However, the stress-strain evolution followed from the first loading, achieved under low strain rate, can be described using a hyperelastic formalism derived from elastic strain energy potential (24), (25).
This was termed the tearing energy by Rivlin and Thomas (see reference 1), and it is defined by [Mathematical Expression Omitted] where U is the total elastic strain energy stored in the sample, A is the area of one fracture surface of the crack (in the unstrained state), and the partial derivative indicates that the sample is considered at a fixed deformation so the external forces do no work (strain controlled rather than load controlled deformation).
 
 
 
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