A modal analysis for computation of stress intensity factors under dynamic loading conditions at low frequency using eXtended Finite Element Method

Tran, Van-Xuan; Geniaut, Samuel; Galenne, Erwan; Nistor, Ionel

doi:10.1016/j.engfracmech.2012.12.005

Cited by 14 publications

(6 citation statements)

References 25 publications

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“…Different stress intensity factors are defined in the literature based on the boundary conditions. Tran et al [149] conducted a modal analysis to compute stress intensity factor. Modal stress intensity factor was extracted from stationary crack and computed the dynamic stress intensity factor using the extended finite element method.…”

Section: Challenge-4: Quantification Of Cracksmentioning

confidence: 99%

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Current challenges in modelling vibrational fatigue and fracture of structures: a review

Kamei

Khan

2021

J Braz. Soc. Mech. Sci. Eng.

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Fatigue damage is a concern in the engineering applications particularly for metal structures. The design phase of a structure considers factors that can prevent or delay the fatigue and fracture failures and increase its working life. This paper compiled some of the past efforts to share the modelling challenges. It provides an overview on the existing research complexities in the area of fatigue and fracture modelling. This paper reviews the previous research work under five prominent challenges: assessing fatigue damage accurately under the vibration-based loads, complications in fatigue and fracture life estimation, intricacy in fatigue crack propagation, quantification of cracks and stochastic response of structure under thermal environment. In the conclusion, the authors have suggested new directions of work that still require comprehensive research efforts to bridge the existing gap in the current academic domain due to the highlighted challenges.

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Section: Challenge-4: Quantification Of Cracksmentioning

confidence: 99%

“…Modal stress intensity factor is extracted from either the crack-tip displacement method or by the energy method. The general equation for energy release rate G for the crack in dynamic loading was given as [149,150].…”

Section: Challenge-4: Quantification Of Cracksmentioning

confidence: 99%

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Kamei

Khan

2021

J Braz. Soc. Mech. Sci. Eng.

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“…According to mechanical control of a composite plate or beam, design works indicate that the boundary conditions especially clamping force are very important key whether natural frequencies of a component of the beam tend to be reduced by crack or damage. Many computational procedures are used to analysis the vibration characteristics of such those structures [1][2][3][4]. After studying of crack size effect on mode shapes of a composite beam, one can note that stress field and strain energy density around the crack tip with respect to vibration mode number are of great importance.…”

Section: Introductionmentioning

confidence: 99%

Modal Stress Analysis of a Cracked Woven Composite Beam under Compression

Yetmez

2018

MSF

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In this study, modal stress analysis of carbon fiber plain weave cracked composite beams under compression is considered. General-purpose finite element code MSC. Marc is used for the finite element beam models. Before understanding the compression effect on the beam, dynamic characteristics of the models are compared with the experimental evaluations. Investigation of quasi-static and dynamic (equivalent von Mises stress and elastic strain energy density) behavior of the plain weave cracked beams with two different thicknesses under compression is examined numerically. Results are given in tabular and graphical form.

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“…An approach for mass lumping in the context of structural dynamics using the XFEM was discussed in details by Elguedj et al (2009) and by Gravouil et al (2009). Tran et al (2013) used the XFEM to compute dynamic stress intensity factors in cracked domains. Liu et al (2013) applied the XFEM to model material discontinuities in ultrasonic wave propagation inside polymer matrix composites.…”

Section: Introductionmentioning

confidence: 99%

GFEM for modal analysis of 2D wave equation

Torii

Machado

Arndt

2015

Engineering Computations

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Purpose – The purpose of this paper is to present an application of the Generalized Finite Element Method (GFEM) for modal analysis of 2D wave equation. Design/methodology/approach – The GFEM can be viewed as an extension of the standard Finite Element Method (FEM) that allows non-polynomial enrichment of the approximation space. In this paper the authors enrich the approximation space with sine e cosine functions, since these functions frequently appear in the analytical solution of the problem under study. The results are compared with the ones obtained with the polynomial FEM using higher order elements. Findings – The results indicate that the proposed approach is able to obtain more accurate results for higher vibration modes than standard polynomial FEM. Originality/value – The examples studied in this paper indicate a strong potential of the GFEM for the approximation of higher vibration modes of structures, analysis of structures subject to high frequency excitations and other problems that concern high frequency oscillatory phenomena.

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A modal analysis for computation of stress intensity factors under dynamic loading conditions at low frequency using eXtended Finite Element Method

Cited by 14 publications

References 25 publications

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Modal Stress Analysis of a Cracked Woven Composite Beam under Compression

GFEM for modal analysis of 2D wave equation

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