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A wire gets heated when it is bent back ...

A wire gets heated when it is bent back and forth. Why?

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When a wire is bent back and forth, the deformations in the wire are beyond the elastic limit. In this sitution the work done against the intertomic forces while bending back and forth a wire. Will no longer be stored totally in the form of potential energy. Due to it the crystalline structure of the wire will be affected and part of work done is corrected into heat energy.
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