Thermo-mechanical XFEM crack propagation analysis of functionally graded materials

Hosseini, Seyed Mohammad Ali; Bayesteh, H.; Mohammadi, Soheil

doi:10.1016/j.msea.2012.10.043

Cited by 80 publications

(20 citation statements)

References 78 publications

(81 reference statements)

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“…Note that SIFs obtained by the weight function approach can be converted to J-integral values using Eq. (22). J-integral results directly obtained from the FE analysis of the cylinder are also listed in Table 5.…”

Section: Sif Results For Fg Cylindersmentioning

confidence: 99%

“…Therefore, to obtain SIFs for complex geometries and load cases, numerical approaches such as the boundary domain element method [19], standard FE method with the energy integral methods [20,21] or the extended finite element method [22] [28]. A modified form of the J-integral for axisymmetric FG cylinders under applied mechanical loads was proposed in [28] and was used to obtain reference SIFs from the FE analysis results.…”

Section: Introductionmentioning

confidence: 99%

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Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Eshraghi

Soltani

2015

Theoretical and Applied Fracture Mechanics

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Section: Sif Results For Fg Cylindersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Eshraghi

Soltani

2015

Theoretical and Applied Fracture Mechanics

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“…Several numerical techniques have been proposed in the literature to analyse the fracture processes in orthotropic FGMs [8,[10][11][12][13][14]. The vast majority of the works are based on discrete approaches; for example, the conventional finite element with displacement correlation technique (DCT) [15], the extended finite element method (XFEM) [8,10,11,14], and the scaled boundary finite element method (SBFEM) [12,13]. However, predicting crack initiation and subsequent crack growth requires an ad hoc criterion, with crack trajectories being sensitive to this choice [16].…”

Section: Introductionmentioning

confidence: 99%

Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials

2021

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In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency.The implementation is validated against experimental data and other numerical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.

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“…Bouhala [12] used the extended Element Free Galerkin method (XEFG) to model the crack growth in elastic materials, and investigated the effect of thermo-mechanical loading on the crack growth. Hosseini [13] studied isotropic and orthotropic functionally graded materials (FGMs) under a combination of mechanical and thermal loadings using the XFEM. These implementations of the XFEM for modeling thermo-elastic fracture were successful in the analysis of the thermal crack mechanics, dynamic crack propagation and estimation of the dynamic stress intensity factors (SIFs).…”

Section: Introductionmentioning

confidence: 99%

Analysis of Thermo-Elastic Fracture Problem during Aluminium Alloy MIG Welding Using the Extended Finite Element Method

Yang

Xiao

et al. 2017

Applied Sciences

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Abstract:The thermo-elastic fracture problem and equations are established for aluminium alloy Metal Inert Gas (MIG) welding, which include a moving heat source and a thermoelasticity equation with the initial and boundary conditions for a plate structure with a crack. The extended finite element method (XFEM) is implemented to solve the thermo-elastic fracture problem of a plate structure with a crack under the effect of a moving heat source. The combination of the experimental measurement and simulation of the welding temperature field is done to verify the model and solution method. The numerical cases of the thermomechanical parameters and stress intensity factors (SIFs) of the plate structure in the welding heating and cooling processes are investigated. The research results provide reference data and an approach for the analysis of the thermomechanical characteristics of the welding process.

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Thermo-mechanical XFEM crack propagation analysis of functionally graded materials

Cited by 80 publications

References 78 publications

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials

Analysis of Thermo-Elastic Fracture Problem during Aluminium Alloy MIG Welding Using the Extended Finite Element Method

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