Math 2.0

Mechanics of deformable solids Fracture and damage Concept

J-integral

Summary

The J-integral is a contour integral around the tip of a crack that measures the energy flowing into the crack tip. For a hyperelastic material, its value does not depend on the contour. So it can be computed far from the tip, where the fields are easy to obtain. For a linear elastic body it equals the energy release rate. It is used as a fracture parameter in elastic–plastic fracture mechanics, where the stress intensity factor no longer applies.

Further reading

  1. Web https://en.wikipedia.org/wiki/J-integral
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Changed3 November 2026

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