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Fig. A2. (A) Counterclockwise contour
around a crack tip showing an element
of path length ds, with unit vector n normal to the path and
with stress and displacement vectors, P and u, respectively,
also shown. Crack length is a. (B) An element of material
experiencing two-dimensional stress. Not all three stress components need be
active; often only one or two components are active. (C) Rectangular path
surrounding a crack tip, used to illustrate evaluation of a
J-integral.