Three-dimensional modeling of ductile crack growth: Cohesive zone parameters and crack tip triaxiality

Chen, C.R.; Kolednik, O.; Heerens, J.; Fischer, Franz Dieter

doi:10.1016/j.engfracmech.2005.01.008

Cited by 58 publications

(22 citation statements)

References 30 publications

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“…With respect to crack extension these two effects are expected to be contrary because of which the overall effect on the load versus stable crack extension characteristics seems to be rather moderate as it was found by a number of authors performing three-dimensional finite element analyses (e.g. [73,75], see also [72]). Note however, that further research is necessary for a conclusive statement.…”

Section: Cohesive Zone Modelsmentioning

confidence: 94%

See 1 more Smart Citation

Fracture and damage mechanics modelling of thin-walled structures – An overview

Zerbst¹,

Heinimann

Donne³

et al. 2009

Engineering Fracture Mechanics

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Section: Cohesive Zone Modelsmentioning

confidence: 94%

“…Three-dimensional effects were studied by various authors, on steel plates in [73] and on aluminium plates in [66,[74][75][76]. The authors were able to simulate both the initial crack tunneling and the self-similar steady-state crack front at the later stage.…”

Section: Cohesive Zone Modelsmentioning

confidence: 99%

Fracture and damage mechanics modelling of thin-walled structures – An overview

Zerbst¹,

Heinimann

Donne³

et al. 2009

Engineering Fracture Mechanics

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“…Since fracture under combined in-plane and out-of-plane loading is a common failure mode of tough, ductile materials, there has been an increasing awareness of the importance of mixed-mode fracture in practical applications. Although mixed-mode I/III fracture has been the focus of several recent investigations (Li et al 1998;Kamat and Hirth 1995;Mourad et al 2005;Jones et al 2001;Kamat et al 1998;Avci et al 2005;Wei et al 2005;Zucchini et al 2000;Sutton et al 2001;Pan 1990;Pan and Shih 1992;Gao et al 1998;Ma and Kobayashi et al 2002;Liu et al 2004;Paterson et al 1997;Chen et al 2005), much of the experimental work has focused on fracture toughness measurements and evaluations (Li et al 1998;Kamat and Hirth 1995;Jones et al 2001;Kamat et al 1998). The fracture toughness measurement results show no single trend in regard to the effects of superimposed mode III loading on fracture toughness.…”

Section: Mixed Mode Fracture and Criteriamentioning

confidence: 98%

Mixed-mode fracture of ductile thin-sheet materials under combined in-plane and out-of-plane loading

et al. 2007

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Cracks in thin structures often are subjected to combined in-plane and out-of-plane loading conditions leading to complex mixed mode conditions in the crack tip region. When applied to ductile materials, large out-of-plane displacements make both experimentation and modeling difficult. In this work, the mixed-mode behavior of thin, ductile materials containing cracks undergoing combined in-plane tension (mode I) and out-of-plane shear (mode III) deformation is investigated experimentally. Mixed-mode fracture experiments are performed and full, threedimensional (3D) surface deformations of thin-sheet specimens from aluminum alloy and steel are acquired using 3D digital image correlation. General characteristics of the fracture process are described and quantitative results are presented, including (a) the fracture surface, (b) crack path, (c) load-displacement response, (d) 3D full-field surface displacement and strain fields prior to crack growth, (e) radial and angular distributions of the crack-tip strain fields prior to crack growth and (f) singularity analysis of the crack-tip strains prior to crack growth. Results indicate that the introduction of a mode III component to the loading process (a) alters the crack tip fields relative to those measured during nominally mode I loading and (b) significantly increases the initial and stable critical crack-openingdisplacement. The data on strain fields in both AL6061-T6 aluminum and GM6208 steel consistently show that for a given strain component, the normalized angular and radial strains at all load levels can be reasonably represented by a single functional form over the range of loading considered, confirming that the strain fields in highly ductile, thin-sheet material undergoing combined in-plane tension and out-of-plane shear loading can be expressed in terms of separable angular and radial functions. For both materials, the displacement and strain fields are (a) similar for both mixed-mode loading angles = 30 • and = 60 • and (b) different from the fields measured for Mode I loading angle = 0 • . Relative to the radial distribution, results indicate that the in-plane strain components do not uniformly exhibit the singularity trends implicit in the HRR theory.

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“…Due to its simplicity, cohesive laws are used for a variety of applications. Some recent examples are: fracture of ductile or brittle solid (Scheider et al 2006, Chen et al 2005, Elices et al 2002, delamination of layered composites (Pantano and Avrill 2004) or interface debonding at particle/matrix interface at micro-level in a two phased composite (Tan et al 2005). Cohesive laws are also used to describe the macroscopic constitutive behaviour of a thin layer, e.g.…”

mentioning

confidence: 99%

Mixed mode cohesive law

Högberg

2006

Int J Fract

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A traction-separation relation to model the fracture process is presented. The cohesive law captures the linear elastic and softening behaviour prior to fracture. It also allows for different fracture parameters, such as fracture energy, strength and critical separation in different mode mixities. Thus, the fracture process in mode I (peel), in mode II (shear) or in mixed mode (a combination of peel and shear) can be modelled without the limitation of a common fracture energy in peel and shear. Examples are given in form of FEimplementations of the normalised cohesive law, namely for the Unsymmetrical Double Cantilever Beam (UDCB) specimen and the Mixed-mode double Cantilever Beam (MCB) specimen. Both specimens are adhesively bonded and loaded in mixed-mode.

show abstract

Three-dimensional modeling of ductile crack growth: Cohesive zone parameters and crack tip triaxiality

Cited by 58 publications

References 30 publications

Fracture and damage mechanics modelling of thin-walled structures – An overview

Fracture and damage mechanics modelling of thin-walled structures – An overview

Mixed-mode fracture of ductile thin-sheet materials under combined in-plane and out-of-plane loading

Mixed mode cohesive law

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