A phenomenological form of the q2 parameter in the Gurson model

Dutta, B.K.; Guin, Saurav K.; Sahu, Manish; Samal, M. K.

doi:10.1016/j.ijpvp.2007.10.009

Cited by 27 publications

(13 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The material with smaller f 0 value usually has higher ductile fracture resistance [32]. Although the GTN model parameters for simulating the ductile crack initiation and propagation of a material may not be unique [33], a set of parameters can be found by adjusting the different parameters in a calibration procedure of fitting the numerical J-resistance curve with experimental one [12,22,31,34]. And this set of parameters can be used to predict ductile fracture of specimens with different geometries [12,20,22,31,34].…”

Section: Gtn Model and Parametersmentioning

confidence: 99%

Local fracture resistance behavior of interface regions in a dissimilar metal welded joint

Fan

Wang

Xuan

et al. 2015

Engineering Fracture Mechanics

View full text Add to dashboard Cite

Section: Gtn Model and Parametersmentioning

confidence: 99%

Local fracture resistance behavior of interface regions in a dissimilar metal welded joint

Fan

Wang

Xuan

et al. 2015

Engineering Fracture Mechanics

View full text Add to dashboard Cite

“…The parameters f 0 , f N , f c and f F are commonly obtained by fitting the numerical results of J ‐resistance curves with experimental results 13,14 . Although the GTN model parameters for simulating the ductile crack initiation and propagation of a material may not be unique, 15 a set of parameters can be found by adjusting the different parameters in a calibration procedure of fitting the numerical J ‐resistance curve with experimental one 13,14,16,17 . And this set of parameters can be used to predict ductile fracture of specimens with different geometries 12–14,16,17 …”

Section: Finite Element Analysismentioning

confidence: 99%

“…By adjusting the different GTN model parameters in the calibration procedure of fitting the numerical J ‐resistance curve with the experimental one, 13,14,16,17 a best fit between the numerical J ‐resistance curve and experimental one for the standard SENB specimen with a/W = 0.5 was achieved, as shown in Fig. 3a.…”

Section: Finite Element Analysismentioning

confidence: 99%

“…13,14 Although the GTN model parameters for simulating the ductile crack initiation and propagation of a material may not be unique, 15 a set of parameters can be found by adjusting the different parameters in a calibration procedure of fitting the numerical J-resistance curve with experimental one. 13,14,16,17 And this set of parameters can be used to predict ductile fracture of specimens with different geometries. [12][13][14]16,17 The load versus load-line displacement curves can be obtained from theFEM simulations.…”

Section: Gtn Modelmentioning

confidence: 99%

See 1 more Smart Citation

Unified characterisation of in‐plane and out‐of‐plane constraint based on crack‐tip equivalent plastic strain

Yang

Wang

Xuan

et al. 2012

Fatigue Fract Eng Mat Struct

108

101

View full text Add to dashboard Cite

Constraint can be divided into two conditions of in‐plane and out‐of‐plane, and each of them has its own parameter to characterize. However, in most cases, there exists a compound change of both in‐plane and out‐of‐plane constraint in structures, a unified measure that can reflect both of them is needed. In this paper, the finite element method (FEM) was used to calculate the equivalent plastic strain (ɛp) distribution ahead of crack tips for specimens with different in‐plane and out‐of‐plane constraints, and the FEM simulations based on Gurson–Tvergaard–Needleman (GTN) damage model and a small number of tests were used to obtain fracture toughness for the specimens with different constraints. Unified measure and characterisation parameter of in‐plane and out‐of‐plane constraints based on crack‐tip equivalent plastic strain has been investigated. The results show that the area APEEQ surrounded by the ɛp isoline ahead of crack tips can characterize both in‐plane and out‐of‐plane constraints. Based on the area APEEQ, a unified constraint characterisation parameter Ap was defined. It was found that there exists a sole linear relation between the normalised fracture toughness JIC/Jref and regardless of the in‐plane constraint, out‐of‐plane constraint and the selection of the ɛp isolines. The unified JIC/Jref−reference line can be used to determine constraint‐dependent fracture toughness of materials. The FEM simulations with the GTN damage model (local approach) can be used in obtaining the unified JIC/Jref−reference line for materials with ductile fracture.

show abstract

“…The GTN model is widely used in academia and industry. Typical applications include structural integrity assessments of nuclear reactor pressure vessels [2] and welded joints [3]; optimization of impact resistance of marine steels [4]; forming of Aluminium alloys in automotive industry [5] and steel forming [6], etc.…”

Section: Introductionmentioning

confidence: 99%

Levenberg–Marquardt vs Powell’s dogleg method for Gurson–Tvergaard–Needleman plasticity model

Shterenlikht¹,

Alexander²

2012

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

The GTN continuous damage model is very popular in academia and industry for structural integrity assessment and ductile fracture simulation. Following Aravas' influential 1987 paper, Newton's method has been used widely to solve the GTN equations. However, if the starting point is far from the solution, then Newton's method can fail to converge.Hybrid methods are preferred in such cases. In this work we translate the GTN equations into a non-linear minimization problem and then apply the Levenberg-Marquardt and Powell's 'dogleg' hybrid methods to solve it. The methods are tested for accuracy and robustness on two simple single finite element models and two 3D models with complex deformation paths. In total nearly 137,000 different GTN problems were solved. We show that the Levenberg-Marquardt method is more robust than Powell's method. Our results are verified against the Abaqus' own solver. The superior accuracy of the Levenberg-Marquardt method allows for larger time increments in implicit time integration schemes.

show abstract

A phenomenological form of the q2 parameter in the Gurson model

Cited by 27 publications

References 10 publications

Local fracture resistance behavior of interface regions in a dissimilar metal welded joint

Local fracture resistance behavior of interface regions in a dissimilar metal welded joint

Unified characterisation of in‐plane and out‐of‐plane constraint based on crack‐tip equivalent plastic strain

Levenberg–Marquardt vs Powell’s dogleg method for Gurson–Tvergaard–Needleman plasticity model

Contact Info

Product

Resources

About