Morphological aspects of fatigue crack propagation Part II—effects of stress biaxiality and welding residual stress

Sumi, Yôichi; Yang, Chao; Wang, Z. N.

doi:10.1007/bf00013159

Cited by 32 publications

(23 citation statements)

References 6 publications

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“…Figure 17 shows the mesh in the vicinity of the fillet and compares the crack paths for the cases of a thick I-beam (upper crack) and thin I-beam (lower crack). The results are consistent with both experimental [82] and previous numerical results using the Element Free Galerkin method [54] and advanced remeshing technique [83]. …”

Section: Crack Growth From a Filletsupporting

confidence: 90%

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An extended finite element library

Bordas

Nguyen

Dunant

et al. 2007

Numerical Meth Engineering

239

135

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SUMMARYThis paper presents and exercises a general structure for an object-oriented enriched finite element code. The programming environment provides a robust tool for extended finite element (XFEM) computations and a modular and extensible system. The program structure has been designed to meet all natural requirements for modularity, extensibility, and robustness. To facilitate meshgeometry interactions with hundreds of enrichment items, a mesh generator and mesh database are included. The salient features of the program are: flexibility in the integration schemes (subtriangles, subquadrilaterals, independent near-tip and discontinuous quadrature rules); domain integral methods for homogeneous and bi-material interface cracks arbitrarily oriented with respect to the mesh; geometry is described and updated by level sets, vector level sets or a standard method; standard and enriched approximations are independent; enrichment detection schemes: topological, geometrical, narrow-band, etc.; multi-material problem with an arbitrary number of interfaces and slip-interfaces; non-linear material models such as J2 plasticity with linear, isotropic and kinematic hardening. To illustrate the possible applications of our paradigm, we present two-dimensional linear elastic fracture mechanics for hundreds of cracks with local near-tip refinement, and crack propagation in two dimensions as well as complex three-dimensional industrial problems.

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Section: Crack Growth From a Filletsupporting

confidence: 90%

“…Figure 16 shows the experimental configuration for crack growth from a fillet [82]. The crack path depends on the welding residual stresses and the bending stiffness of the structure.…”

Section: Crack Growth From a Filletmentioning

confidence: 99%

An extended finite element library

Bordas

Nguyen

Dunant

et al. 2007

Numerical Meth Engineering

239

135

View full text Add to dashboard Cite

show abstract

“…In case of a rigid support, on the other hand, the crack propagation remains horizontal while the path passes through the web plate before the other side of the web is reached. The FRANC3D results are similar to those from the previous studies [15,18]. …”

Section: A Crack In a Fillet Under Mixed-mode Conditionsupporting

confidence: 89%

“…The member is supported at bottom by an I-beam. The predicted propagation of a crack from the fillet weld toe that joins the bottom flange and web plate was compared with experimental results by Sumi et al [18]. Two sizes of the bottom I-beam of 15 and 315 mm were used to investigate the effect of bending stiffness on the mixed-mode crack propagation path.…”

Section: Fig 8 a Two-tip Web Crack In I-beam (Adapted From [14])mentioning

confidence: 99%

Analysis of Fatigue Crack Propagation in Steel I-Beams with Welded Transverse Stiffeners Subjected to In-Plane Loadings

Triamlumlerd¹,

Lenwari²

2017

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Abstract. For bridge structures, the fatigue crack propagation represents the mechanical damage that shortens the service life of the structures. Most fatigue cracks initiate at the welded details due to geometric discontinuities, residual stresses, and initial weld defects. The welded transverse stiffeners have been widely used to increase shear strength of the steel girders. Under cyclic in-plane loadings, however, the fatigue crack initiates at the end of the stiffener, i.e., in the web gap, and propagates into the girder web. The objectives of this study are to (1) numerically simulate the fatigue crack propagation in steel I-girders with welded transverse stiffeners and (2) study the effects of initial crack size, fillet weld size, stiffener dimension, and web-gap length on the fatigue crack propagation. The FRANC3D software was used to perform the analysis of stress intensity factor, crack propagation, and fatigue life. The numerical results showed that the fatigue life increases as the web-gap length increases, while it decreases as initial crack size and thickness of the transverse stiffener increase. Also, the stress intensity factors of the steel I-beams that include the fillet weld in the finite element models are slightly lower than ones modelled without fillet weld.

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“…In the latter work, the crack growth direction was determined by a perturbation analysis to ÿnd the angle along which K II vanished. Numerical and experimental results are compared in Reference [18]. The axes are taken to be aligned with the left end of the specimen, along the centreline.…”

Section: Double Cantilever Beammentioning

confidence: 99%

A vector level set method and new discontinuity approximations for crack growth by EFG

Ventura

Belytschko

2002

Numerical Meth Engineering

273

174

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SUMMARYA new vector level set method for modelling propagating cracks in the element-free Galerkin (EFG) method is presented. With this approach only nodal data are used to describe the crack; no geometrical entity is introduced for the crack trajectory, and no partial di erential equations need to be solved to update the level sets. The nodal description is updated as the crack propagates by geometric equations. The advantages of this approach, here introduced and analysed for the two-dimensional case, are particularly promising in three-dimensional applications, where the geometrical description and evolution of an arbitrary crack surface in a complex solid is very awkward. In addition, new methods for crack approximations in EFG are introduced, using a jump function accounting for the displacement discontinuity along the crack faces and the Westergard's solution enrichment near the crack tip. These enrichments, being extrinsic, can be limited only to the nodes surrounding the crack and are naturally coupled to the level set crack representation.

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Morphological aspects of fatigue crack propagation Part II—effects of stress biaxiality and welding residual stress

Cited by 32 publications

References 6 publications

An extended finite element library

An extended finite element library

Analysis of Fatigue Crack Propagation in Steel I-Beams with Welded Transverse Stiffeners Subjected to In-Plane Loadings

A vector level set method and new discontinuity approximations for crack growth by EFG

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