J-Integral

Rice’s J-Integral

Parameter which characterizes fracture under elastic-plastic and fully plastic conditions Similar to the K parameter in fully elastic fracture

Rice defined the J-integral for a cracked body as follows:

W = elastic strain energy densityT = traction vectoru = displacement vector = arbitrary contour

Rice’s J-Integral

Rice’s J-Integral

Relation between J and Potential Energy under linear elastic conditions, J

becomes the Griffith’s crack extension force.

J-Integral Calculations

For plane stress,

Limitations of the J-Integral

nonlinear elasticity or deformation theory of plasticity only applies to elastic-plastic materials under monotonic loading no unloading is permitted