Ductile fracture of an ultra-high strength steel under low to moderate stress triaxiality

Defaisse, Clément; Mazière, Matthieu; Marcin, Lionel; Besson, Jacques

doi:10.1016/j.engfracmech.2017.12.035

Cited by 44 publications

(49 citation statements)

References 64 publications

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“…Then, although the material is nonsoftening, the applied torque decreases. Such localization bands were observed experimentally in Reference . It is shown in Figures and that the numerical results correlate well with the experimental observations.…”

Section: Application To a Tube Loaded In Torsionsupporting

confidence: 86%

“…Localization occurs in the middle section of the tube as a consequence of this nonhomogeneous field. Such concentration in the middle section can be observed in some experimental setups in References .…”

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 69%

“…The geometry and mesh are shown in Figure . The experimental results using this sample are taken in Reference .…”

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 99%

“…This sample has been loaded in torsion, and exhibits, for the material properties given in Reference , a localization band in the gauge length due to loss of ellipticity. These results are shown in Figures 21 to 23.…”

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 99%

“…Implementation remark: we take 1 = ⟨ 1 ⟩ (where "⟨⋅⟩" denotes the integer part), then 1 is recomputed as 1 .…”

Section: Sphere Discretization For Starting Pointsmentioning

confidence: 99%

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A general and efficient multistart algorithm for the detection of loss of ellipticity in elastoplastic structures

Kotob

Combescure

Mazière

et al. 2019

Numerical Meth Engineering

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Summary The present paper proposes a new efficient and robust algorithm for evaluating the loss of ellipticity criterion. While commonly used in two‐dimensional models for thin metal sheet forming processes, it is rarely evaluated in three‐dimensional structures due to the computational cost. The proposed algorithm is based on a Newton‐Raphson scheme and a multisampling optimization method based on a discretization method of the half unit sphere. First the new process is compared to the existing methods in the literature and then it is applied to a structural problem, namely tubes in torsion. The evolution of the loss of ellipticity in these structures is analyzed leading to conclusions about the failure of the structure. Meanwhile, the stability of the discretized problem is analyzed in order to better understand the loss of regularity of the finiteelement method problem. These results are then used to predict the failure of an experimentally tested torsion sample.

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Section: Application To a Tube Loaded In Torsionsupporting

confidence: 86%

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 69%

“…The geometry and mesh are shown in Figure . The experimental results using this sample are taken in Reference .…”

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 99%

Section: Application To a Tube Loaded In Torsionmentioning

confidence: 99%

“…Implementation remark: we take 1 = ⟨ 1 ⟩ (where "⟨⋅⟩" denotes the integer part), then 1 is recomputed as 1 .…”

Section: Sphere Discretization For Starting Pointsmentioning