Finite element-based model for crack propagation in linear elastic materials

Alshoaibi, Abdulnaser M.

doi:10.5267/j.esm.2019.10.002

Cited by 8 publications

(4 citation statements)

References 34 publications

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“…The testing equipment and loading setup for conducting in‐plane fracture tests (i.e., modes I and II) are relatively simple and such tests can be done by the conventional testing machines and common fixtures such as tensile/compression and three or four‐point bend test setup. Accordingly, a number of test specimens including circular samples (Brazilian disc and flatten Brazilian disc under compression, 1–10 semi‐circular bend, 6,11–17 center crack ring under compression, 18–21 edge notch disc bend (ENDB), 22–26 and circular edge crack wedge loading 27 ), beam samples (three‐point long beam, 28–31 three‐point short beam, 32–36 and four‐point bend beam 37–44 ), and thin plate shape samples (compact tension shear, 45–47 square plate in tension, 48,49 and triangular plate in bending 50–52 ) are among the frequently used test specimens employed in the past for mode I and mixed I/II fracture testing of different brittle and quasi brittle materials such as rock, geo‐materials, concrete, polymers, ceramics, and etc. However, for introducing out‐of‐plane or mode III deformation in a cracked specimen via a straightforward and direct manner, it is usually necessary to apply torsional‐type loads.…”

Section: Introductionmentioning

confidence: 99%

On the use of different diametral compression cracked disc shape specimens for introducing mode III deformation

Aliha

Kucheki

Asadi

2021

Fatigue Fract Eng Mat Struct

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Due to the difficulties of applying torsional loads to introduce mode III effects, there are few studies for investigating mixed mode I/III fracture in brittle materials. In this paper using three novel single or double edge-cracked diametral compression disc shape specimens, complete ranges of mixed mode I/III are introduced. Fracture factors of the compressed disc specimens with different pre-notch shapes are determined numerically for a wide range of notch depth and notch inclination angles. The ability of specimens was studied using mixed mode I/III fracture experiments on gypsum. Different fracture envelopes were obtained for the gypsum demonstrating the influence of disc geometry and notch type on mixed mode I/III behavior. For all samples, mode III fracture toughness (K IIIc ) was approximately 1.2 to 1.8 times the corresponding value of K Ic . Depending on the crack front type, ligament shape and mode mixity, different fracture surfaces were observed. While the mode I fracture surface was smooth and flat in all samples, for mixed mode I/III and mode III, rotation and partially segmentation saw tooth shape wrinkles were observed. K E Y W O R D Sbrittle geo-materials, fracture surface, fracture toughness testing, mixed mode I/III, numerical analyses, single and double edge-notched diametrically compressed discs

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Section: Introductionmentioning

confidence: 99%

On the use of different diametral compression cracked disc shape specimens for introducing mode III deformation

Aliha

Kucheki

Asadi

2021

Fatigue Fract Eng Mat Struct

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“…x j , y j (13) where N n is the number of nodes linked to node i. The mesh smoothing process consists of several iterations.…”

Section: Adaptive Mesh Refinementmentioning

confidence: 99%

“…The benefits sought here are both faster execution time and the ability to process larger problems. In order to simulate 2D cracks under mixed mode loading, the current developed software code is formulated to allow the researcher to estimate the fatigue life and crack trajectory using the automated adaptive mesh finite element [11][12][13][14][15]. This software was created in 2004 and continues to include several features for the simulation of two-dimensional fatigue crack growth under LEFM assumptions [12,[16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method

Alshoaibi

Fageehi

2021

Metals

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The finite element method (FEM) is a widely used technique in research, including but not restricted to the growth of cracks in engineering applications. However, failure to use fine meshes poses problems in modeling the singular stress field around the crack tip in the singular element region. This work aims at using the original source code program by Visual FORTRAN language to predict the crack propagation and fatigue lifetime using the adaptive dens mesh finite element method. This developed program involves the adaptive mesh generator according to the advancing front method as well as both the pre-processing and post-processing for the crack growth simulation under linear elastic fracture mechanics theory. The stress state at a crack tip is characterized by the stress intensity factor associated with the rate of crack growth. The quarter-point singular elements are constructed around the crack tip to accurately represent the singularity of this region. Under linear elastic fracture mechanics (LEFM) with an assumption in various configurations, the Paris law model was employed to evaluate mixed-mode fatigue life for two specimens under constant amplitude loading. The framework includes a progressive analysis of the stress intensity factors (SIFs), the direction of crack growth, and the estimation of fatigue life. The results of the analysis are consistent with other experimental and numerical studies in the literature for the prediction of the fatigue crack growth trajectories as well as the calculation of stress intensity factors.

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“…Complicated geometries require a high-density mesh and a complex element in the simulation method. Other researchers developed their own two-dimensional source code program to determine and analyse the fatigue crack growth and crack propagation under the condition, namely, static loading and also the determination of stress intensity factor using the mesh strategy [9][10][11][12]. It is difficult to opt a method for accurate calculation with minimal time and at low cost.…”

Section: Introductionmentioning

confidence: 99%

Nonplanar Crack Growth Simulation of Multiple Cracks Using Finite Element Method

Fageehi

Alshoaibi

2020

Advances in Materials Science and Engineering

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This work deals with a 2D finite element simulation of nonplanar multiple cracks using fracture and crack propagation analysis. This analysis was performed by using the developed source code software written by Visual Fortran Language. This source code includes the adaptive mesh generation utilizing the advanced front method and also the mesh refinement process. In order to correctly represent the field singularity, the quarter-point singular elements are constructed around the tip of the crack. The crack growth criteria are used to predict the crack growth direction by utilizing the circumferential stress factor in calculating the yielding stress in elastic fracture assumptions. The stress intensity factor determination is one of the most critical procedures as it determines the crack initiation and propagation mechanism. Moreover, the stress intensity factor histories during the crack growth are measured with the use of equivalent domain integral methods. The crack path simulation and stress intensity factor calculations are compared with the literature and revealed that the results are in agreement with research carried in this domain.

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Finite element-based model for crack propagation in linear elastic materials

Cited by 8 publications

References 34 publications

On the use of different diametral compression cracked disc shape specimens for introducing mode III deformation

On the use of different diametral compression cracked disc shape specimens for introducing mode III deformation

Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method

Nonplanar Crack Growth Simulation of Multiple Cracks Using Finite Element Method

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