The role of <i>T</i>‐stress in brittle fracture for linear elastic materials under mixed‐mode loading

Smith, David J.; Ayatollahi, M.R.; Pavier, Martyn J

doi:10.1046/j.1460-2695.2001.00377.x

Cited by 534 publications

(294 citation statements)

References 22 publications

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“…Numerical and experimental results have recently demonstrated that higher order terms of the crack tip asymptotic field, in particular T-stress, can also significantly influence the stress distribution near the crack tip, and consequently the onset of fracture growth (Smith et al, 2001;Ayatollahi et al, 2006;Berto and Lazzarin, 2010). Therefore, accurate computation of higher order parameters is also of great importance in analyzing the growth of cracked bodies.…”

Section: Potential Extension Of the Methodsmentioning

confidence: 99%

A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes

Nejati

Paluszny

Zimmerman

2015

International Journal of Solids and Structures

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Please cite this article as: Nejati, M., Paluszny, A., Zimmerman, R.W., A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes, International Journal of Solids and Structures (2015), doi: http://dx.doi.org/10. 1016/j.ijsolstr.2015.05.026 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes Abstract A novel domain integral approach is introduced for the accurate computation of pointwise Jintegral and stress intensity factors (SIFs) of 3D planar cracks using tetrahedral elements. This method is efficient and easy to implement, and does not require a structured mesh around the crack front. The method relies on the construction of virtual disk-shaped integral domains at points along the crack front, and the computation of domain integrals using a series of virtual triangular elements. The accuracy of the numerical results computed for through-the-thickness, penny-shaped, and elliptical crack configurations has been validated by using the available analytical formulations. The average error of computed SIFs remains below 1% for fine meshes, and 2 − 3% for coarse ones. The results of an extensive parametric study suggest that there exists an optimum mesh-dependent domain radius at which the computed SIFs are the most accurate. Furthermore, the results provide evidence that tetrahedral elements are efficient, reliable and robust instruments for accurate linear elastic fracture mechanics calculations.

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Section: Potential Extension Of the Methodsmentioning

confidence: 99%

A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes

Nejati

Paluszny

Zimmerman

2015

International Journal of Solids and Structures

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“…Larger values of T-stress increase this deviation which in turn causes a reduction in apparent fracture toughness. Apart from crack paths, directional stability problems and crack initiation angle, the effects of the T-stress on the crack growth rate, crack tip constraints, crack closure, and the shape and size of the plastic zone ahead of the crack tip have also been assessed by many workers [8,9].…”

Section: Introductionmentioning

confidence: 99%

T-stress determination using thermoelastic stress analysis

Zanganeh

Tomlinson

Yates

2008

The Journal of Strain Analysis for Engineering Design

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T-stress and mixed-mode stress intensity factors have been determined experimentally using thermoelastic stress analysis and using a finite element method. Pure mode I, strong mixed-mode I and II, and interacting cracks have been used as the case studies. A new technique has been proposed to identify the crack tip from thermoelastic images. It has also been shown that using three terms of Williams's stress field formulation to determine the Tstress, yields a more accurate solution than using only the first two terms of the expansion.

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“…It is worth noting that the predicted and measured fracture angles in Tables 3 and 5 are all positive. This is because the sign of * II k is negative in the test specimens, as shown in Table 2 (more details can be found in Smith et al (2001) As described earlier, the main difference between the MTS and GMTS criteria is the inclusion of T-stress in the GMTS criterion. Figure 10 reveals that the T-stress has a significant role in improving the estimates of fracture angles in the sandwich Brazilian disk samples.…”

Section: Fracture Angle Analysismentioning

confidence: 89%

“…Maximum tangential stress (MTS) (Erdogan and Sih, 1963) and generalized maximum tangential stress (GMTS) (Smith et al, 2001) criteria have been developed in order to investigate brittle fracture in linear elastic materials under combined tensile and shear loading. According to these criteria, the crack will grow through a direction in which the tangential stress reaches its maximum.…”

Section: Fracture Analysismentioning

confidence: 99%

Investigation of Fracture in an Interface Crack Between Bone Cement and Stainless Steel

Choupani

Ayatollahi

Mallakzadeh

2015

Lat. Am. j. solids struct.

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Interface strength is considered as one of the most influential factors in the long-term durability of the replaced joint in cemented total hip replacement. Several researchers have suggested that the damage initiation in a replaced joint is a mechanical phenomenon primarily taking place in the vicinity of cement-prosthesis interface. In this study, the fracture behavior of a crack at the interface of cement-prosthesis was investigated both experimentally and theoretically under static loading conditions. The finite element method, and then the maximum tangential stress (MTS) and the generalized MTS (GMTS) criteria were used for theoretical study of interface fracture. Some experiments were also carried out to investigate the effect of cement mixing methods (hand mixing and vacuum mixing) on crack growth pattern. The results showed that the vacuum-mixed cement led to self-similar crack growth along the cement-prosthesis interface, while the crack kinked into the cement in the samples prepared by hand-mixed cement. Then some experiments were performed to verify the theoretical results obtained for mixed mode fracture angles in the samples prepared by hand-mixed cement. The sandwich Brazilian disk model was used in both finite element and experimental approaches to simulate the cement-prosthesis interface. The experimental results were found to be in good agreement with those predicted by the GMTS criterion.

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The role of T‐stress in brittle fracture for linear elastic materials under mixed‐mode loading

Cited by 534 publications

References 22 publications

A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes

A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes

T-stress determination using thermoelastic stress analysis

Investigation of Fracture in an Interface Crack Between Bone Cement and Stainless Steel

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