Finite element modelling of crack propagation in ductile fracture

Wulf, J.; Schmauder, Siegfried; Fischmeister, H. F.

doi:10.1016/0927-0256(93)90024-h

Cited by 21 publications

(4 citation statements)

References 7 publications

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“…The formation and propagation of cracks is modelled by using an element elimination technique in which elements are removed from the mesh when damage D s reaches a critical value. In contrast to element elimination techniques that do not exactly remove the elements from the mesh but simply set to zero its stresses and strains in order to stop transmitting forces to neighbouring non-eliminated elements, 14 the technique implemented and utilized by the authors removes physically the elements from the mesh. This requires crack propagation to be supported by a node numbering optimization algorithm and by numerical procedures to handle contact with friction between deformable objects in order to account for the interaction between the counterfacing surfaces of the plastically deforming cracks.…”

Section: Crack Formation and Propagationmentioning

confidence: 99%

“…In contrast to element elimination techniques that do not exactly remove the elements from the mesh but simply set to null its stresses and strains in order to stop transmitting forces to neighbouring non-eliminated elements (Wulf et al 1993), the technique implemented and utilized by the authors removes physically the elements from the mesh.…”

Section: Crack Formation and Propagationmentioning

confidence: 99%

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Internal shear cracking in bulk metal forming

Christiansen¹,

Nielsen²,

Bay³

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part L:

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This paper presents an uncoupled ductile damage criterion for modelling the opening and propagation of internal shear cracks in bulk metal forming. The criteria is built upon the original work on the motion of a hole subjected to shear with superimposed tensile stress triaxiality by McClintock (1966) and its overall performance is evaluated by means of sidepressing formability tests in Aluminium AA2007-T6 subjected to different levels of prestrain. Results show that the new proposed criterion is able to combine simplicity with efficiency for predicting the onset of fracture and the crack propagation path for the entire set of test cases regardless the amount of pre-strain derived from previous upsetting under near frictionless conditions. The new proposed criterion can be easily implemented in existing finite element programs and its scope of application allows extending previous work on the opening modes in surface cracking to internal cracks formed under three-dimensional states of stress that are typical of bulk metal forming.

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Section: Crack Formation and Propagationmentioning

confidence: 99%

Section: Crack Formation and Propagationmentioning

confidence: 99%

Internal shear cracking in bulk metal forming

Christiansen¹,

Nielsen²,

Bay³

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part L:

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show abstract

“…As the damage evolution continues, once the damage variables reach the upper bound, the elements are deleted based on the element elimination technique . To eliminate an element, all components of the stress tensors in this element are set to 0.…”

Section: Description Of Numerical Modelmentioning

confidence: 99%

Modeling analysis of fiber hybridization in hybrid glass/carbon composites under high‐velocity impact

Meng

Wang

2015

Polymer Composites

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The effects of fiber hybridization on damage behavior of hybrid glass/carbon composites under high‐velocity impact were investigated. The Hashin damage model is adopted to model the damage initiation of composites, and the bilinear form of damage evolution law based on the effective displacement is employed. The numerical results show a reasonable agreement with the experimental data. The residual velocity of impact projectile is approximately shown a linearly decreasing trend with the increasing of the thickness of glass fabric ply. As the proportion of glass fabric ply in the hybrid laminates increases, the impact resistance of laminates increased gradually. POLYM. COMPOS., 38:2536–2543, 2017. © 2015 Society of Plastics Engineers

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“…Presently, owing to remarkable versatility and flexibility of the FEM, it is applied to fracture mechanics problems extensivly . However, some disadvantages of the FEM cause the development of other predominant numerical methods, which is discussed in the following.…”

Section: Introductionmentioning

confidence: 99%

Development of a new semianalytical approach for 2D analysis of crack propagation problems

Yazdani

Khaji

2018

Fatigue Fract Eng Mat Struct

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This study offers novel progresses for a semianalytical method to simulate 2D propagation of cracks based on linear elastic fracture mechanics. For this purpose, a new algorithm is proposed on the basis of the linear elastic fracture mechanics for crack propagation in single‐mode and mixed mode. Herein, discretization is only performed on the boundaries of the problem by using specific subparametric elements and higher‐order Chebyshev polynomials as mapping functions. Implementing the weighted residual method and by taking Clenshaw‐Curtis numerical quadrature, diagonal Euler's differential equations are obtained. Consequently, once the local coordinate origin is assumed at the tip of the crack, the stress intensity factors can be derived directly. In accordance with the rate of maximum energy release as a propagation criterion and by proposing a new quasi‐automatic remeshing procedure based on domain division, the crack propagation is applied here. Based on the new presented algorithm, application of the new semianalytical method to crack propagation analysis is more flexible and efficient. By taking this advantage, relatively coarse and simple discretization compared with other computational methods may be used. By modelling 4 benchmark problems with a few numbers of degrees of freedom, the validity and accuracy of the current method is illustrated. Results show that the presented algorithm is applicable for efficient and precise prediction of crack trajectories.

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Finite element modelling of crack propagation in ductile fracture

Cited by 21 publications

References 7 publications

Internal shear cracking in bulk metal forming

Internal shear cracking in bulk metal forming

Modeling analysis of fiber hybridization in hybrid glass/carbon composites under high‐velocity impact

Development of a new semianalytical approach for 2D analysis of crack propagation problems

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