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Communication Dans Un Congrès Année : 2017

THREE DIMENSIONAL CONTOUR INTEGRAL GENERALIZATIONS: ANALYTICAL FORMULATION

S El Kabir
  • Fonction : Auteur
Rostand Moutou Pitti
N Recho
  • Fonction : Auteur

Résumé

This paper deals with the numerical development of the J-integral concept for three dimensional problems. A new integral parameter in real three-dimensional case, which computes the energy release rate combining an arbitrary crack front, is developed. The Independence of path integral is verified in quasi-static condition. The generalization of the 3-integral toward its 3 implementation form is realised. 1. Introduction The study of the stress field close to the crack front in three-dimensional environment is more complicated than in two dimensional one. The aim of this paper is focused on the generalization of the J-integral formalism for a 3D problem and the adaptability of the G-theta method for a future finite element implementation. We are considering a 3D problem including any planar crack shape under any external loading orientations. In this paper we define a specific J-integral, Called 3-integral, adapted for 3D problems. It can be employed in the determination of the average energy release rate calculated along the crack front line.
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Dates et versions

hal-01616970 , version 1 (15-10-2017)

Identifiants

  • HAL Id : hal-01616970 , version 1

Citer

S El Kabir, Rostand Moutou Pitti, F. Dubois, N Recho, Y. Lapusta. THREE DIMENSIONAL CONTOUR INTEGRAL GENERALIZATIONS: ANALYTICAL FORMULATION. 14th International Conference on Fracture (ICF 14), Jun 2017, Rhodes, Greece. ⟨hal-01616970⟩
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