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

Claude Stolz (1, 2)

1 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles
2 GeM - Institut de Recherche en Génie Civil et Mécanique

A 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.

Mots clés: Stress intensity factors; J-Integral; Asymptotic fields; Curved crack front

Domaines: Mécanique [physics.med-ph]; Sciences de l'ingénieur [physics]; Mécanique des solides [physics.class-ph]

Claude Stolz. Invariant integrals and asymptotic fields near the front of a curved planar crack. International Journal of Fracture, 2021, ⟨10.1007/s10704-021-00552-9⟩. ⟨hal-03084133⟩