Modeling of Nonlinear Crack Growth in Steel and Aluminum Alloys by the Element Free Galerkin Method

Kanth, Showkat Ahmad; Harmain, G.A.; Jameel, Azher

doi:10.1016/j.matpr.2018.06.227

Cited by 21 publications

(12 citation statements)

References 22 publications

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“…The crack trajectory using the developed program and Ansys ends up in excellent agreement with experimental data presented in the literature [47,48], numerical results using the coupled extended meshfree-smoothed meshfree method presented by Knowles and Sternberg [51], and XFEM results obtained by Zhang and Tabiei [21]. Numerical results obtained by Kanth et al [14] using a polygonal XFEM with numerical integration as shown in Figure 13 A, B, C, D, E, and F, respectively. The results of this simulation for dimensionless stress factors by using the developed program and Ansys are shown in Figure 14, which are almost identical to each other.…”

Section: Three Holes Single Edge Cracked Platesupporting

confidence: 76%

“…Numerical simulations typically calculate the energy derivatives in the first order concerning crack length or the equivalent SIFs. Meanwhile, new approaches and methods in several areas of study have been suggested and developed rapidly, including the finite element method (FEM), discrete element method (DEM) [11][12][13], element free Galerkin (EFG) method [14], extended finite element method (XFEM) [15][16][17][18], cohesive element method [19,20], and phase-field method [21]. Nevertheless, as a versatile method to simulate crack propagation, the FEM is still prevalent.…”

Section: Introductionmentioning

confidence: 99%

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2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic

Bashiri

2021

Materials Science-Poland

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This paper describes implementation of the finite element method (FEM) to investigate crack growth problems in linear elastic fracture mechanics and the correlation of results with experimental and numerical data. The approach involved using two different software to compute stress intensity factors (SIFs), the crack propagation trajectory, and fatigue life estimation in two and three dimensions. According to the software, crack modeling might be run in various ways. The first is a developed source code program written in the Visual Fortran language, while the second is the widely used ANSYS Mechanical APDL 19.2 software. The fatigue crack propagation trajectory and the corresponding SIFs were predicted using these two software programs. The crack direction was investigated using the maximum circumferential stress theory, and the finite element (FE) analysis for fatigue crack growth was done for both software based on Paris's law. The predicted results in both software demonstrated the influence of holes on the crack growth trajectory and all associated stresses and strains. The study's findings agree with other experimental and numerical crack propagation studies presented in the literature that reveal similar crack propagation trajectory observations.

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Section: Three Holes Single Edge Cracked Platesupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic

Bashiri

2021

Materials Science-Poland

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“…Many researchers have focused on using analytical or computational formulations to investigate dynamic fracture mechanics. Numerous numerical approaches for simulating crack propagation have been used, including the finite element method (FEM) [ 1 ], Discrete Element Method (DEM) [ 2 , 3 , 4 ], Element Free Galerkin method (EFGM) [ 5 ], extended finite element method (XFEM) [ 6 , 7 ], Cohesive Element Method (CEM) [ 8 , 9 ], Boundary Element Method (BEM) [ 10 ], meshless method [ 11 , 12 ] and Phase-Field Method (PFM) [ 13 ]. Most fracture mechanics models in the literature are developed within the framework of the finite element method (FEM), as this method is robust, reliable and deals with complex geometries [ 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Simulation of a Crack Growth in the Presence of a Hole in the Vicinity of the Crack Trajectory

Alshoaibi

Fageehi

2022

Materials

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The aim of this paper was to present a numerical simulation of a crack growth path and associated stress intensity factors (SIFs) for linear elastic material. The influence of the holes’ position and pre-crack locations in the crack growth direction were investigated. For this purpose, ANSYS Mechanical R19.2 was introduced with the use of a new feature known as Separating Morphing and Adaptive Remeshing Technology (SMART) dependent on the Unstructured Mesh Method (UMM), which can reduce the meshing time from up to several days to a few minutes, eliminating long preprocessing sessions. The presence of a hole near a propagating crack causes a deviation in the crack path. If the hole is close enough to the crack path, the crack may stop at the edge of the hole, resulting in crack arrest. The present study was carried out for two geometries, namely a cracked plate with four holes and a plate with a circular hole, and an edge crack with different pre-crack locations. Under linear elastic fracture mechanics (LEFM), the maximum circumferential stress criterion is applied as a direction criterion. Depending on the position of the hole, the results reveal that the crack propagates in the direction of the hole due to the uneven stresses at the crack tip, which are consequences of the hole’s influence. The results of this modeling are validated in terms of crack growth trajectories and SIFs by several crack growth studies reported in the literature that show trustworthy results.

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“…Another alternative is to switch to numerical models due to the problem's complexity, since there are certain cases where the experimental setup is too complicated to be viable. Over the years, several works for using numerical techniques have been developed: Finite Element Method (FEM), Discrete Element Method (DEM) [10][11][12], the Element Free Galerkin (EFG) method [13], Extended Finite Element Method (XFEM) [14,15], cohesive element method [16], and phase-field method [17]. Most problems in crack propagation involving mixed-mode requires predicting crack path and growth while updating the model as the geometry changes; several studies predict crack growth with a high degree of precision [18,19].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Finite Element Model for Simulating Crack Growth in the Presence of Holes

Alshoaibi

Fageehi

2021

Materials

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This study presents a developed finite element code written by Visual Fortran to computationally model fatigue crack growth (FCG) in arbitrary 2D structures with constant amplitude loading, using the linear elastic fracture mechanics (LEFM) concept. Accordingly, optimizing an FCG analysis, it is necessary to describe all the characteristics of the 2D model of the cracked component, including loads, support conditions, and material characteristics. The advancing front method has been used to generate the finite element mesh. The equivalent stress intensity factor was used as the onset criteria of crack propagation, since it is the main significant parameter that must be precisely predicted. As such, a criterion premised on direction (maximum circumferential stress theory) was implemented. After pre-processing, the analysis continues with incremental analysis of the crack growth, which is discretized into short straight segments. The adaptive mesh finite element method was used to perform the stress analysis for each increment. The displacement extrapolation technique was employed at each crack extension increment to compute the SIFs, which are then assessed by the maximum circumferential stress theory to determine the direction of the crack growth and predict the fatigue life as a function of crack length using a modified form of Paris’ law. The application examples demonstrate the developed program’s capability and performance.

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Modeling of Nonlinear Crack Growth in Steel and Aluminum Alloys by the Element Free Galerkin Method

Cited by 21 publications

References 22 publications

2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic

2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic

Finite Element Simulation of a Crack Growth in the Presence of a Hole in the Vicinity of the Crack Trajectory

Adaptive Finite Element Model for Simulating Crack Growth in the Presence of Holes

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