Strain energy density prediction of crack propagation for 2D linear elastic materials

Boulenouar, Abdelkader; Benseddiq, Noureddine; Mazari, Mohamed

doi:10.1016/j.tafmec.2013.11.001

Cited by 26 publications

(17 citation statements)

References 34 publications

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“…The results obtained allow us to conclude that the criterion implemented gives a good crack path under mode I loading. This crack propagation trajectory is similar to the observed in the case of elastic linear materials using the strain energy density approach (Boulenouar et al, 2013a(Boulenouar et al, , 2014 or another crack propagation criterion (Boulenouar et al, 2013b;Alshoaibi and Ariffin, 2006).…”

Section: Crack Propagation Pathsupporting

confidence: 80%

A strain energy density theory for mixed mode crack propagation in rubber-like materials

Boulenouar

Benseddiq

Merzoug

et al. 2016

jtam

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In this paper, a numerical modeling of crack propagation for rubber-like materials is presented. This technique aims at simulating the crack growth under mixed-mode loading based on the strain energy density approach. At each crack increment length, the kinking angle is evaluated as a function of the minimum strain energy density (MSED) around the crack tip, using the Ansys Parametric Design Language (APDL). In this work, numerical examples are illustrated to demonstrate the effectiveness, robustness and accuracy of the computational algorithm to predict the crack propagation path. The results obtained show that the plan of crack propagation is perpendicular to the direction of the maximum principal stretch. Moreover, in the framework of linear elastic fracture mechanics (LEFM), the minimum values of the density are reached at the points corresponding to the crack propagation direction.

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Section: Crack Propagation Pathsupporting

confidence: 80%

A strain energy density theory for mixed mode crack propagation in rubber-like materials

Boulenouar

Benseddiq

Merzoug

et al. 2016

jtam

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show abstract

“…27 ). In this paper, the displacement extrapolation technique DET 28,29,30 are used to calculate the SIFs K I and K II for homogeneous materials are modified to calculate the SIFs FGMs. The advantage of this method is that, it is well suited for multiple cracks and it can be performed faster.…”

Section: Numerical Evaluation Of Sifsmentioning

confidence: 99%

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

Chafi

Boulenouar

2019

Mat. Res.

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The main objective of this work is to present a numerical modeling of crack propagation path in isotropic functionally graded materials (FGMs) under mixed-mode loadings. The displacement extrapolation technique (DET) and the maximum circumferential stress (MCS) criterion are investigated in the context of crack growth in functionally graded beam subject to three and four bending conditions. Using the Ansys Parametric Design Language (APDL), the variation continues of the material properties are incorporated by specifying the material parameters at the centroid of each finite element (FE) and the crack direction angle is evaluated as a function of stress intensity factors (SIFs) at each increment of crack extension. In this paper, two applications are investigated using an initial crack perpendicular and parallel to material gradient, respectively. The developed approach is validated using available numerical and experimental results reported in the literature.

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“…(5) to the flexural rigidity (EI)girder of the girder about x-axis in Eq. (6). Figure 23 shows the axis and directions of the moment of inertia of double-sided transverse stiffeners in this study.…”

Section: Transverse Stiffener Dimensionmentioning

confidence: 98%

“…There have been previous research works on the numerical simulation of fatigue crack propagation for some practical problems [4][5][6][7][8]. Kotsikos and Grasso [9] used the FRANC3D software to simulate the fatigue crack propagation at the foot region of a rail subjected to bending.…”

Section: Introductionmentioning

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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Strain energy density prediction of crack propagation for 2D linear elastic materials

Cited by 26 publications

References 34 publications

A strain energy density theory for mixed mode crack propagation in rubber-like materials

A strain energy density theory for mixed mode crack propagation in rubber-like materials

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

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

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