Stress intensity factors computation for bending plates with extended finite element method

Jérémie Lasry (1) , Yves Renard (2, 3) , Michel Salaün (4)

1 SAMTECH (FRANCE)
2 ICJ - Institut Camille Jordan
3 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
4 ICA - Institut Clément Ader

The modelization of bending plates with through-the-thickness cracks is investigated. We consider the Kirchhoff-Love plate model, which is valid for very thin plates. Reduced Hsieh-Clough-Tocher triangles and reduced Fraejis de Veubeke-Sanders quadrilaterals are used for the numerical discretization. We apply the eXtended Finite Element Method strategy: enrichment of the finite element space with the asymptotic bending singularities and with the discontinuity across the crack. The main point, addressed in this paper, is the numerical computation of stress intensity factors. For this, two strategies, direct estimate and J-integral, are described and tested. Some practical rules, dealing with the choice of some numerical parameters, are underlined.

Mots clés: Stress intensity factor; Extended finite element method; J-integral; Plates; Kirchhoff-Love; Fracture

Domaines: Génie des procédés

Jérémie Lasry, Yves Renard, Michel Salaün. Stress intensity factors computation for bending plates with extended finite element method. International Journal for Numerical Methods in Engineering, 2012, vol. 91, pp. 909-928. ⟨10.1002/nme.4292⟩. ⟨hal-00820756⟩