Enriched kinematic fields of cracked structures

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

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