Asymptotic Fracture Modes in Strain-Gradient Elasticity: Size Effects and Characteristic Lengths for Isotropic Materials

Giulio Sciarra (1) , Stefano Vidoli (2)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 DALEMBERT - Institut Jean Le Rond d'Alembert

Size-effects characterize the fracture process of many engineering materials. Their modelling calls for material constitutive relations which are not indifferent, as standard elasticity, to variations of scale: strain-gradient elasticity or plasticity have often served the purpose. The three classical crack opening problems of fracture mechanics are here solved within the framework of linear strain-gradient elasticity for the most general isotropic material. Apart from the Lamé constants, this is completely identified by five additional moduli, modelling its micro-structural characteristics

Mots clés: Strain gradient; Size effects; Cohesive forces

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

Giulio Sciarra, Stefano Vidoli. Asymptotic Fracture Modes in Strain-Gradient Elasticity: Size Effects and Characteristic Lengths for Isotropic Materials. Journal of Elasticity, 2013, 113 (1), ⟨10.1007/s10659-012-9409-y⟩. ⟨hal-01362179⟩