Micro-Scale Crack Propagation Using the eXtended Finite Element Method

Jaime, Jorge; Rafael, Alejandro

doi:10.2514/6.2016-0729

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…The longer inner edge of the block number 3 was modeled by the sinusoidal function. That allowed to reflect realistic crack conditions [ 51 ]. The adjoining edges of the blocks, numbered consecutively as 1, 3, 4 and 2, 3, 4, were connected by the constraints imposed on nodal displacements ux (horizontal axis) and uy (vertical axis).…”

Section: Estimation Of Instantaneous Frequency Of Signal From Fem mentioning

confidence: 99%

Application of Teager–Kaiser’s Instantaneous Frequency for Detection of Delamination in FRP Composite Materials

Gałęzia

Orłowska-Gałęzia

2021

Materials

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Composite materials are widely used in many engineering applications and fields of technology. One of the main defects, which occur in fiber-reinforced composite materials, is delamination. It manifests itself in the separation of layers of material and the damaged structure once subjected to mechanical loads degrades further. Delamination results in lower stiffness and the decrease of structure’s carry load capability. Its early detection is one of the tasks of non-invasive structural health monitoring of layered composite materials. This publication discusses a new method for delamination detection in fiber-reinforced composite materials. The approach is based on analysis of energy signal, calculated with Teager–Kaiser energy operator, and comparison of change of the weighted instantaneous frequency for measurement points located in- and outside of delamination area. First, applicability of the developed method was tested using simple models of vibration signals, reflecting considered phenomena. Next, the authors’ weighted instantaneous frequency was applied for detection of deamination using signals obtained from FEM simulated response of the cantilever beam. Finally, the methods effectiveness were tested involving real experimental signals collected by the laser Doppler vibrometer (LVD) sensor measuring vibrations of the delaminated glass-epoxy specimens.

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Section: Estimation Of Instantaneous Frequency Of Signal From Fem mentioning

confidence: 99%

Application of Teager–Kaiser’s Instantaneous Frequency for Detection of Delamination in FRP Composite Materials

Gałęzia

Orłowska-Gałęzia

2021

Materials

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“…Souza et al have developed a multiscale model for the transition of local cracks to the macrocracks by using XFEM to model cohesive zones [12]. As another example, Goyal et al used XFEM to model crack propagations in an aluminium alloy in a uniaxial tensile test [13]. However, XFEM is not able to manage multiple crack initiation and propagation at the same time.…”

Section: Introduction Motivation Of the Studymentioning

confidence: 99%

Numerical modelling of the quasi-brittle behaviour of refractory ceramics by considering microcracks effect

Asadi

Debenath

Emam

et al. 2022

Journal of the European Ceramic Society

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In the steelmaking industry, the inner lining of ladles is made of refractory ceramics, which are constantly subjected to thermal shocks during their service. Experimentally, it is observed that pre-existing microcracks could significantly increase the thermal shock resistance of these ceramics. The presence of such microcracks network within the refractory microstructure could lead to a non-linear quasi-brittle mechanical behaviour.To model this quasi-brittle behaviour, a suitable numerical approach is the Discrete Element Method (DEM), which can circumvent the limitations of more conventional continuum approaches in capturing microstructural effects required to simulate multi-fracture propagation.Here, it is aimed to simulate such quasi-brittle behaviour by initial well-distributed damages, with a strength dispersion following a Weibull distribution. In this way, the microcracks effect on the quasi-brittle behaviour of a numerical sample under uniaxial and cyclic tensile tests is investigated. Ultimately, a quantitative DEM model to simulate such a complex behaviour is proposed.

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“…Then, the macroscopic model was performed to obtain the stress intensity factor. Then, they further simulated the fatigue crack evolution in the steel [16][17][18]. The number of cycles for short crack initiation was estimated with regard to stress distribution in the microstructural model, while the LEFM method and Paris law were applied to describe the long crack growth up to final fracture and the corresponding S-N curve.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical characterization of fatigue crack propagation in high-speed railway wheel ER8 steel

Suetrong

Uthaisangsuk

2021

J Met Mater Miner

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In this work, characteristics of fatigue crack growth in the Paris regime of the rail wheel steel grade ER8 were investigated. Experimental crack growth tests under different cyclic loads of a compact tension (CT) specimen and corresponding FE simulations were carried out. The extended FE method (XFEM) coupled with damage evolution based on the strain energy release rate or the Paris law was applied to describe the crack propagation mechanism in the tested CT samples. Hereby, the fatigue fracture model parameters were firstly determined from the experimental data. It was found that the predicted crack growth rates agreed well with the experimentally gathered results. Subsequently, fatigue crack propagations of the investigated wheel steel under varying load levels, load ratios and lengths of pre-crack were studied using the FE approach and the obtained crack growth characteristics were compared and discussed.

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Micro-Scale Crack Propagation Using the eXtended Finite Element Method

Cited by 5 publications

References 26 publications

Application of Teager–Kaiser’s Instantaneous Frequency for Detection of Delamination in FRP Composite Materials

Application of Teager–Kaiser’s Instantaneous Frequency for Detection of Delamination in FRP Composite Materials

Numerical modelling of the quasi-brittle behaviour of refractory ceramics by considering microcracks effect

Experimental and numerical characterization of fatigue crack propagation in high-speed railway wheel ER8 steel

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