Enriched kinematic fields of cracked structures

Carole Henninger (1) , Stéphane Roux (1) , François Hild (1)

1 LMT - Laboratoire de Mécanique et Technologie

Far from the crack tip process zone where non-linear phenomena take place, the mechanical behavior of a cracked medium can be analyzed within the framework of elasticity. Apart from the classical singular stress field associated with the elastic behavior, the effect of a confined process zone is decomposed over a set of (super-singular) fields. Because these fields are indexed by the exponent of their decay with distance from the crack tip, the dominant effect of non-linear mechanisms is characterized by the amplitudes of the first super-singular fields (modes I and II). This approach provides a macroscopic characterization of crack tip non-linearities and describes accurately the displacement field. As an application, the cyclic loading of a cracked elasto-plastic medium is discussed.

Mots clés: Williams' series; Displacement field; Global approach to fracture

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Carole Henninger, Stéphane Roux, François Hild. Enriched kinematic fields of cracked structures. International Journal of Solids and Structures, 2010, 47 (24), pp.3305-3316. ⟨10.1016/j.ijsolstr.2010.08.012⟩. ⟨hal-00535952⟩