Computation of mixed mode stress intensity factors in a four-point bend specimen

Shahani, A.R.; Tabatabaei, Seyed Ahmad

doi:10.1016/j.apm.2007.04.001

Cited by 31 publications

(23 citation statements)

References 7 publications

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“…Figure 16 shows the results for the FPB specimen. In this example, the crack opening mode II is the most important, and ‫ܭ‬ ூூ values are also calculated and compared to the reference solution (Shahani and Tabatabaei, 2008). In this example, for small cracks, the J-integral method gives more accurate results compared with displacement based ones.…”

Section: Single Edge Notched Tension (Sent)mentioning

confidence: 99%

“…In order to compare the performance and accuracy of the different schemes for calculating the SIF, six examples are solved and compared with their respective reference solutions, which can be found in Tada et al (1985) for specimen cases, Shahani and Tabatabaei (2008) for the FPB specimen and in API 579-1/ASME FFS-1 (2007) for cylinder cases. The material properties are set to ‫ܧ‬ = ‫ܽܲܩ002‬ and ߥ = 0.3 to solve the linear elasticity problem.…”

Section: Generalmentioning

confidence: 99%

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A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

González

Teixeira

Wrobel

et al. 2015

Lat. Am. j. solids struct.

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The analysis of cracked brittle mechanical components considering linear elastic fracture mechanics is usually reduced to the evaluation of stress intensity factors (SIFs). The SIF calculation can be carried out experimentally, theoretically or numerically. Each methodology has its own advantages but the use of numerical methods has become very popular. Several schemes for numerical SIF calculations have been developed, the J-integral method being one of the most widely used because of its energy-like formulation. Additionally, some variations of the J-integral method, such as displacementbased methods, are also becoming popular due to their simplicity. In this work, a simple displacement-based scheme is proposed to calculate SIFs, and its performance is compared with contour integrals. These schemes are all implemented with the Boundary Element Method (BEM) in order to exploit its advantages in crack growth modelling. Some simple examples are solved with the BEM and the calculated SIF values are compared against available solutions, showing good agreement between the different schemes.

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Section: Single Edge Notched Tension (Sent)mentioning

confidence: 99%

Section: Generalmentioning

confidence: 99%

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

González

Teixeira

Wrobel

et al. 2015

Lat. Am. j. solids struct.

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“…Pure II mode fracture can hopefully be achieved by imposing load far sufficiently from the crack plane. [6] pointed out when C/D is greater than 1.4, β II in Eq. (4) is nearly to 1, meaning a valid pure shear condition, and [7] suggested that C/D should be 1.5 or greater to eliminate the effects of K I and T-stress for pure mode II fracture.…”

Section: Modified Mts Criterion For I/ii Mixed Mode Fracturementioning

confidence: 99%

“…For a four-point bending notched beam shown in Fig.1, mixed mode SIFs, even Tstress were investigated for some specific cases, such as C1=0 or small values of C1/C [6,7,8] . From Fig.1, C1/C should take values from 0 to 1 so that a wide range of K I /K II values can be covered for a complete cracking initiation curve.…”

Section: Modified Mts Criterion For I/ii Mixed Mode Fracturementioning

confidence: 99%

T-stress of Concrete under Four-point Bending

Zhao¹,

Jin²

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Mixed mode stress-intensity factors (SIFs) and the T-stress for different geometries of four-point bending specimens were calculated by means of finite element analysis through a software suite Abaqus, where the influence of the loading point and crack location were considered. The fracture properties, K I , K II and T-stress expressions for four-point bending were constructed based on pure bending and pure shear by means of finite element calculation. The results reveal that considerable values of the T-stress exist with different combinations of K I and K II , and the stress biaxiality factor B varies, including its magnitude and sign, along with the change in geometry size.

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“…Murakami [4] used the body force method to calculate their stress intensity factors, for a crack originating from a corner of a square hole in an infinite plate in tension. A mixed mode stress intensity factors of the bend specimen are computed by Finite Element Method (FEM) to determine the effects of different crack location and loading distances from the middle of the specimen [5] . Laurencin [6] employed a statistical analysis based on weakest link theory, to describe the brittle fracture induced at singularities in ceramic materials.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of the Crack Propagation for Solid Materials

Souiyah

Muchtar²,

Alshoaibi

et al. 2009

American J. of Applied Sciences

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Problem statement:The use of fracture mechanics techniques in the assessment of performance and reliability of structure is on increase and the prediction of crack propagation in structure play important part. The finite element method is widely used for the evaluation of SIF for various types of crack configurations. Source code program of two-dimensional finite element model had been developed, to demonstrate the capability and its limitations, in predicting the crack propagation trajectory and the SIF values under linear elastic fracture analysis. Approach: Two different geometries were used on this finite element model in order, to analyze the reliability of this program on the crack propagation in linear and nonlinear elastic fracture mechanics. These geometries were namely; a rectangular plate with crack emanating from square-hole and Double Edge Notched Plate (DENT). Where, both geometries are in tensile loading and under mode I conditions. In addition, the source code program of this model was written by FORTRAN language. Therefore, a Displacement Extrapolation Technique (DET) was employed particularly, to predict the crack propagations directions and to, calculate the Stress Intensity Factors (SIFs). Furthermore, the mesh for the finite elements was the unstructured type; generated using the advancing front method. And, the global h-type adaptive mesh was adopted based on the norm stress error estimator. While, the quarterpoint singular elements were uniformly generated around the crack tip in the form of a rosette. Moreover, make a comparison between this current study with other relevant and published research study. Results: The application of the source code program of 2-D finite element model showed a significant result on linear elastic fracture mechanics. Based on the findings of the two different geometries from the current study, the result showed a good agreement. And, it seems like very close compare to the other published results. Conclusion: A developed a source program of finite element model showed that is capable of demonstrating the SIF evaluation and the crack path direction satisfactorily. Therefore, the numerical finite element analysis with displacement extrapolation method, had been successfully employed for linear-elastic fracture mechanics problems.

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Computation of mixed mode stress intensity factors in a four-point bend specimen

Cited by 31 publications

References 7 publications

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

T-stress of Concrete under Four-point Bending

Finite Element Analysis of the Crack Propagation for Solid Materials

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