Modeling of plane strain ductile rupture

Besson, Jacques; Steglich, D.; Brocks, W.

doi:10.1016/s0749-6419(02)00022-0

Cited by 118 publications

(67 citation statements)

References 58 publications

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“…The present work builds upon simulations of necking, shear band localization and fracture of ductile metals under tensile loading, as addressed, for example, in [8][9][10][11][12][13], with specific application to the characterization of cohesive zones for plates and shells as described in the Introduction. Where clarity of the paper is not sacrificed, previously published details of the constitutive model and the finite strain elastic-plastic formulation will be omitted and cited.…”

Section: Materials and Finite Element Modelsmentioning

confidence: 99%

Cohesive traction–separation laws for tearing of ductile metal plates

Nielsen

Hutchinson

2012

International Journal of Impact Engineering

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-The failure process ahead of a mode I crack advancing in a ductile thin metal plate or sheet produces plastic dissipation through a sequence of deformation steps that include necking well ahead of the crack tip and shear localization followed by a slant fracture in the necked region somewhat closer to the tip. The objective of this paper is to analyze this sequential process to characterize the traction-separation behavior and the associated effective cohesive fracture energy of the entire failure process. The emphasis is on what is often described as plane stress behavior taking place after the crack tip has advanced a distance of one or two plate thicknesses. Tractionseparation laws are an essential component of finite element methods currently under development for analyzing fracture of large scale plate or shell structures. The present study resolves the sequence of failure details using the Gurson constitutive law based on the micromechanics of the ductile fracture process, including a recent extension that accounts for damage growth in shear. The fracture process in front of an advancing crack, subject to overall mode I loading, is approximated by a 2D plane strain finite element model, which allows for an intensive study of the parameters influencing local necking, shear localization and the final slant failure. The deformation history relevant to a cohesive zone for a large scale model is identified and the traction-separation relation is determined, including the dissipated energy. For ductile structural materials, the dissipation generated during necking prior to the onset of shear localization is the dominant contribution; it scales with the plate thickness and is mesh-independent in the present numerical model. The energy associated with the shear localization and fracture is secondary; it scales with the width of the shear band, and inherits the finite element mesh dependency of the Gurson model. The cohesive tractionseparation laws have been characterized for various material conditions.

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Section: Materials and Finite Element Modelsmentioning

confidence: 99%

Cohesive traction–separation laws for tearing of ductile metal plates

Nielsen

Hutchinson

2012

International Journal of Impact Engineering

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“…This energy is proportional to the element dimension in the main loading direction. Therefore, the mechanical behaviour outcome of the simulation is directly related to that dimension [42,43]. Thus, the element dimension in the loading direction is considered as an additional parameter that is to be fitted to reproduce the experimental results.…”

Section: Kahn Tear Specimensmentioning

confidence: 99%

Interaction between anisotropic plastic deformation and damage evolution in Al 2198 sheet metal

Steglich

Wafai

Besson

2010

Engineering Fracture Mechanics

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-Deformation anisotropy of sheet aluminium alloy 2198 (Al-Cu-Li) has been investigated by means of mechanical testing of notched specimens and Kahn-type fracture specimens, loaded in the rolling direction (L) or in the transverse direction (T). Fracture mechanisms were investigated via scanning electron microscopy. Contributions to failure are identified as growth of initial voids accompanied by a significant nucleation of a second population of cavities and transgranular failure. A model based on the Gurson-TvergaardNeedleman (GTN) approach of porous metal plasticity incorporating isotropic voids, directiondependent void growth, void nucleation at a second population of inclusions and triaxialitydependent void coalescence has been used to predict the mechanical response of test samples. The model parameters have been calibrated by means of 3D unit cell simulations, revealing the interaction between the plastic anisotropy of the matrix material and void growth. The model has been successfully used to describe and predict direction-dependent deformation behaviour, crack propagation and, in particular, toughness anisotropy.

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“…In particular, (Besson et al, 2001) and (Besson et al, 2003) utilize the localization bifurcation criterion as a localization indicator as we do. Since geometry changes are neglected in the calculations here,…”

Section: Ductile Fracture In Notched Barsmentioning

confidence: 99%

A finite thickness band method for ductile fracture analysis

Huespe

Needleman

Oliver

et al. 2009

International Journal of Plasticity

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We present a finite element method with a finite thickness embedded weak discontinuity to analyze ductile fracture problems. The formulation is restricted to small geometry changes. The material response is characterized by a constitutive relation for a progressively cavitating elastic-plastic solid. As voids nucleate, grow and coalesce, the stiffness of the material degrades. An embedded weak discontinuity is introduced when the condition for loss of ellipticity is met. The resulting localized deformation band is given a specified thickness which introduces a length scale thus providing a regularization of the post-localization response. Also since the constitutive relation for a progressively cavitation solid is used inside the band in the post-localization regime, the traction-opening relation across the band depends on the stress triaxiality. The methodology is illustrated through several example problems including mode I crack growth and localization and failure in notched bars. Various finite element meshes and values of the thickness of the localization band are used in the calculations to illustrate the convergence with mesh refinement and the dependence on the value chosen for the localization band thickness.

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Modeling of plane strain ductile rupture

Cited by 118 publications

References 58 publications

Cohesive traction–separation laws for tearing of ductile metal plates

Cohesive traction–separation laws for tearing of ductile metal plates

Interaction between anisotropic plastic deformation and damage evolution in Al 2198 sheet metal

A finite thickness band method for ductile fracture analysis

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