Chapitre D'ouvrage Année : 2021

Ductile crack growth using cohesive GTN model

Résumé

This chapter presents a three-dimensional simulation of ductile crack growth using a recent GTN cohesive approach. A cohesive-volumetric finite element approach is adopted. The behavior of the material is characterized by a hardening bulk constitutive law inside the finite elements together with a softening traction-separation law at the interfaces between elements. The traction-separation law recently proposed by [1] rests on the micromechanical Gurson-Tvergaard-Needleman model for ductile damage and fracture, and the reduced kinematics of a surface. It takes into account the effect of local I1 and J2 stress invariants via a dependence of the cohesive model to the surrounding bulk stress. The efficiency of this cohesive-GTN model is underlined through the 3D numerical simulation, using XPER code [35], of a compact tension test. The results show a strong tunneling in the crack front shape. The crack propagates faster at the midsection than at the side-surface. Large gradients of local stress and strain through the specimen thickness during crack growth are observed. Especially, the stress triaxiality is higher at the midsec-tion than at the side-surface, leading to more damage in the cohesive zone due to cavity growth.

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Dates et versions

hal-03409666 , version 1 (13-12-2024)

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Mamadou Meïte, Noé Brice Nkoumbou Kaptchouang, Yann Monerie, Frederic Perales, Pierre Guy Vincent. Ductile crack growth using cohesive GTN model. George Z. Voyiadjis. Handbook of Damage Mechanics - Nano to Macro Scale for Materials and Structures, Springer, pp.1-20, 2021, 978-1-4614-8968-9. ⟨10.1007/978-1-4614-8968-9_70-1⟩. ⟨hal-03409666⟩
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