Material configurational forces applied to mixed mode crack propagation

Guo, Yuli; Li, Qun

doi:10.1016/j.tafmec.2017.02.006

Cited by 38 publications

(10 citation statements)

References 31 publications

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“…It was found that the estimated crack growth path agreed the experimental path observed by [ 48 ]. In addition, the predicted crack propagation direction agrees with the predicted trajectories of other previous numerical [ 49 , 50 ], and [ 47 ]. The study in [ 49 ] utilizes FEM based on local Lepp–Delaunay meshes refinement, the work [ 50 ] uses FEM with configurational forces, and the method in [ 47 ] applies coupled extended mesh free–smoothed mesh free method.…”

Section: Numerical Results and Discussionsupporting

confidence: 86%

“…In addition, the predicted crack propagation direction agrees with the predicted trajectories of other previous numerical [ 49 , 50 ], and [ 47 ]. The study in [ 49 ] utilizes FEM based on local Lepp–Delaunay meshes refinement, the work [ 50 ] uses FEM with configurational forces, and the method in [ 47 ] applies coupled extended mesh free–smoothed mesh free method. The results were compared to the finite element results obtained in [ 27 ] uses ViDa program as shown in Figure 15 a–f, respectively.…”

Section: Numerical Results and Discussionsupporting

confidence: 86%

“… A comparison of the four point bending beam’s crack growth path, ( a ) present study, ( b ) experimental results [ 48 ], ( c ) numerical [ 49 ], ( d ) numerical [ 50 ], ( e ) numerical [ 47 ], ( f ) numerical [ 27 ]. …”

Section: Figurementioning

confidence: 99%

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Adaptive Finite Element Modeling of Linear Elastic Fatigue Crack Growth

Alshoaibi

Bashiri

2022

Materials

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This paper proposed an efficient two-dimensional fatigue crack growth simulation program for linear elastic materials using an incremental crack growth procedure. The Visual Fortran programming language was used to develop the finite element code. The adaptive finite element mesh was generated using the advancing front method. Stress analysis for each increment was carried out using the adaptive mesh finite element technique. The equivalent stress intensity factor is the most essential parameter that should be accurately estimated for the mixed-mode loading condition which was used as the onset criterion for the crack growth. The node splitting and relaxation method advances the crack once the failure mechanism and crack direction have been determined. The displacement extrapolation technique (DET) was used to calculate stress intensity factors (SIFs) at each crack extension increment. Then, these SIFs were analyzed using the maximum circumferential stress theory (MCST) to predict the crack propagation trajectory and the fatigue life cycles using the Paris’ law model. Finally, the performance and capability of the developed program are shown in the application examples.

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Section: Numerical Results and Discussionsupporting

confidence: 86%

Section: Numerical Results and Discussionsupporting

confidence: 86%

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Adaptive Finite Element Modeling of Linear Elastic Fatigue Crack Growth

Alshoaibi

Bashiri

2022

Materials

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“…In fracture mechanics, the driving force of crack growth is the variation in the total energy near the crack tip. The total energy release rate is determined as a function of crack propagation (Guo and Li, 2017). In an I-TDM coupling system, the energy associated with temperature and fission product diffusion must be accounted for to construct the energy balance in a closed contour around the crack tip.…”

Section: Introductionmentioning

confidence: 99%

The energy release rate of crack growth in an irradiation-induced thermo-diffusion-mechanical (I-TDM) coupling system

Dong

Tang

et al. 2022

Front. Mater.

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The material cracking behavior in the reactor is generated under the irradiation effect accompanied by thermal expansion, fission product diffusion, and mechanical load. In this study, the energy release rate for crack growth under irradiation has been deduced synthetically according to the thermodynamically consistent method and numerically implemented by the finite element method (FEM). Variation in the total energy was obtained based on the principle of minimum potential energy in which the dissipative behavior can be characterized by fission energy, irreversible heat flow, and diffusion of fission products. Through calculating the variation in the total energy with respect to crack length, the energy release rate for crack propagation was analytically represented. Additionally, the total energy release rate for deflective cracks was also derived to predict the crack kinking. Furthermore, the numerical implementation of the presented model was performed by FEM and the equivalent domain integral method. Effects of irradiation on the physical fields and the energy release rate near the crack tip were investigated and analyzed in such a complex I-TDM coupling system. This study can be developed to investigate fracture problems, assess structural integrity, and evaluate material strength of irradiated materials.

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“…The J integral physically indicates the energy release rate for the defect translation, and the conservation theorem was used to prove that the J integral is independent of the integration path around a stationary defect (Noether, 1971). Therefore, the J integral has been widely used to predict the start and the direction of crack propagation (Kaczmarczyk et al, 2014;Ö zenç et al, 2016;Guo and Li, 2017), effective fracture toughness of heterogeneous media (Hossain et al, 2014;Kuhn and Müller, 2016) and damage evolution inside the materials (Yuan and Li, 2019). When the J integral is applied to the stationary dislocation, the J integral is equal to the Peach-Koehler (PK) force acting on it (Eshelby, 1956).…”

Section: Introductionmentioning

confidence: 99%

Configurational force on a dynamic dislocation with localized oscillation

Kim

2021

International Journal of Plasticity

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Upon employing the conservation theorem and continuum theory, the configurational force on a singularity, or a defect, is given by a pathindependent integral called the J integral. According to the continuum elasticity theory, the J integral around a steadily moving dislocation is equal to the Peach-Koehler force acting on the dislocation and is independent of the integration path. However, using a discrete lattice dynamics method, we theoretically prove that the J integral is not path-independent in practice even under uniform motion. This is because of the generation of phonons during the dislocation motion. In general, phonons are generated upon localized oscillation of the dislocation, and they dissipate energy from the dislocation core; consequently, a drag force is produced. As the drag force disturbs the dislocation motion, the J integral around the moving dislocation is smaller than that around a stationary one, and its deviation from the stationary one corresponds to the drag force. In this study, we analytically derive the drag force for each oscillation mode by adopting dislocation-phonon coordinates. We classify the oscillation mode simply as symmetric or anti-symmetric after assuming the dislocation to be a localized defect having a finite core width. Consequently, the drag force is numerically calculated upon consideration of the discrete nature of the dislocation core. In particular, our study reveals that the anti-symmetric oscillation mode mainly contributes to the drag force in the limit of high dislocation velocity. Furthermore, we show that the resulting relation between the drag force and dislocation frequency can reproduce the dislocation velocity-stress curve. This work is expected to contribute to mesoand macro-scale plasticity when the material is loaded under extreme conditions or transient dislocation motion can be assumed.

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Material configurational forces applied to mixed mode crack propagation

Cited by 38 publications

References 31 publications

Adaptive Finite Element Modeling of Linear Elastic Fatigue Crack Growth

Adaptive Finite Element Modeling of Linear Elastic Fatigue Crack Growth

The energy release rate of crack growth in an irradiation-induced thermo-diffusion-mechanical (I-TDM) coupling system

Configurational force on a dynamic dislocation with localized oscillation

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