condensed matter - Why the elastic limit of solid corresponds to a

In all the force-extension graphs I saw, the elastic limit corresponds to a larger extension than the limit of proportionality. Is this true for all cases? If so, what are the underlying reasons?

Offset Yield Strength

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Elasticity of Solids

A nonlinear stress–strain relation (solid line) characterizes most

Hooke's Law and Stress-strain Curve: Analysis, Videos and Examples

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Bodypoint Universal Elastic Strap Extension - Seating and Positioning - GTK

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Bodypoint Universal Elastic Strap Extension - Seating and

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