Invariant integrals and asymptotic fields near the front of a curved planar crack

International audienceA plane crack is considered and the influence of local curvature of the crack front on the local mechanical fields is studied. The main goal is to determine the stress intensity factors along a curved planar crack in linear elasticity with accuracy. This is obtained by determination of new test fields and the use of bilinear forms, issued from invariant integrals, which separate the local modes of fracture