Development and industrial applications of X-FEM axisymmetric model for fracture mechanics

Tran, Van-Xuan; Geniaut, Samuel

doi:10.1016/j.engfracmech.2011.12.002

Cited by 22 publications

(6 citation statements)

References 23 publications

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“…1a shows a representation of a crack with additional degrees of freedom for enriched elements. Note that the crack passes through the elements and that the crack is not explicitly meshed [4].…”

Section: Basics Of Level Set Methods and X-femmentioning

confidence: 99%

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

Vo¹,

Martinuzzi²,

Tran³

et al. 2015

Frattura Ed Integrità Strutturale

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ABSTRACT. In this paper, crack propagation in Advanced Gas-cooled Reactor (AGR) graphite bricks with ageing properties is studied using the eXtended Finite Element Method (X-FEM). A parametric study for crack propagation, including the influence of different initial crack shapes and propagation criteria, is conducted. The results obtained in the benchmark study show that the crack paths from X-FEM are similar to the experimental ones. The accuracy of the strain energy release rate computation in a heterogeneous material is also evaluated using a finite difference approach. Planar and non-planar 3D crack growth simulations are presented to demonstrate the robustness and the versatility of the method utilized. Finally, this work contributes to the better understanding of crack propagation behaviour in AGR graphite bricks and so contributes to the extension of the AGR plants' lifetimes in the UK by reducing uncertainties.

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Section: Basics Of Level Set Methods and X-femmentioning

confidence: 99%

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

Vo¹,

Martinuzzi²,

Tran³

et al. 2015

Frattura Ed Integrità Strutturale

Self Cite

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“…(3)(4)(5)(6) and (3-7)) into Eqs. (3)(4)(5)(6)(7)(8)(9)(10)(11)(12) and (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13), and some manipulations, equations are obtained which we can assemble them to a matrix form as below.…”

Section: General Problem Formulationmentioning

confidence: 99%

“…The cylinder was under a uniform tensile stress of 1 MPa. The calculated SIF (K I ) is compared with the computational and analytical stress intensity factors reported by Tran and Geniaut [7], in Tab. 1.…”

Section: Validation Of the Xfem Axisymmetric Modelmentioning

confidence: 99%

“…Moulick and Sahu [2] derived weight functions for the surface and the deepest point of an internal semi elliptical crack in a thick-wall cylinder. Tran and Geniaut [7] developed an extended finite element method (X-FEM) axisymmetric model and employed it to compute stress intensity factors for cracked industrial specimens and components. They used the X-FEM model to assess the integrity and durability of a cracked rotor coil retaining ring during the power plant operation.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of stress intensity factor for internal cracks in FG cylinders under static and dynamic loading

Shariati¹,

Rokhi²,

Rayegan³

2016

Frattura Ed Integrità Strutturale

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This paper investigates the variations of mode I stress intensity factor (KI) for inner penny-shaped and circumferential cracks in functionally graded solid and hollow thick walled cylinders, respectively with the changes of crack geometry, material gradation and loading conditions. The functionally graded material of cylinders consists of epoxy and glass. It is assumed that the mechanical properties vary with a power law in the radial direction of cylinders. Micromechanical models for conventional composites are used to estimate the material properties of functionally graded cylinders. The equations of motion obtained from the extended finite element discretization are solved by the Newmark method in the time domain. The interaction integral method is employed to calculate the mode I stress intensity factor (KI). The MATLAB programming environment was implemented to solve the problem.Citation: Shariati, M., Mahdizadeh Rokhi, M., Rayegan, H., Investigation of stress intensity factor for internal cracks in FG cylinders under static and dynamic loading, Frattura ed Integrità Strutturale, 39 (2017) 166-180.

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“…Mode II SIFs were calculated for this pipe under tension loading. Tran and Geniaut [11] studied SIFs for circumferential cracked cylinder by employing the XFEM and energy method. Lewis and Wang [12] analyzed cracked cylinder under various linear loads and calculated T-stress by using FEM and weight function.…”

Section: Introductionmentioning

confidence: 99%

Calculation of Stress Intensity Factor for an Internal Circumferential Crack in a Rotating Functionally Graded Thick-Walled Hollow Circular Cylinder under Thermal Shock

Elahi

Rokhi

2017

Archive of Mechanical Engineering

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In this article, the fracture behavior of functionally graded thick-walled cylinder under thermo-mechanical shock is investigated. For this purpose, classical coupled thermoelastic equations are used in calculations. First, these equations are discretized with extended finite element method (XFEM) in the space domain and then they are solved by the Newmark method in the time domain. The most general form of interaction integral is extracted for axially symmetric circumferential crack in a cylinder under thermal and mechanical loads in functionally graded materials and is used to calculate dynamic stress intensity factors (SIFs). The problem solution has been implemented in MATLAB software.

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Development and industrial applications of X-FEM axisymmetric model for fracture mechanics

Cited by 22 publications

References 23 publications

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

Investigation of stress intensity factor for internal cracks in FG cylinders under static and dynamic loading

Calculation of Stress Intensity Factor for an Internal Circumferential Crack in a Rotating Functionally Graded Thick-Walled Hollow Circular Cylinder under Thermal Shock

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