Development of a brittle fracture criterion for prediction of crack propagation path under general mixed mode loading

Sajjadi, S. H.; Salimi-Majd, Davood; Ghorabi, M. J. Ostad Ahmad

doi:10.1016/j.engfracmech.2016.01.015

Cited by 32 publications

(14 citation statements)

References 40 publications

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“…Wang et al 22 pointed out that the MPS criterion 26 and the MTSED criterion 23 were two relatively appropriate fracture criteria for analysing three-dimensional cracks, whereas the MPS criterion could only provide a unique crack propagation angle for different Poisson's ratio. 28 Moreover, in the aforementioned fracture criteria, only the stress intensity factors (SIFs) or the singular terms of Williams' series expansion 30 have been adopted to predict the crack initiation and propagation laws in brittle materials. However, the nonsingular terms of Williams' series expansion as well as SIFs can also play a significant role in the fracture process.…”

Section: Introductionmentioning

confidence: 99%

“…Tai et al 27 provided a formula to compute the crack initiation angle and the equivalent driving load for a three‐dimensional crack based on the MTS criterion. Sajjadi et al 28 brought up a maximum effective stress criterion by using the tangential and shear stresses around the crack front for estimating the crack propagation direction for combined mode I–II–III cracks. Nevertheless, these above‐mentioned fracture criteria more or less had some shortcomings for combined mode I–III cracks.…”

Section: Introductionmentioning

confidence: 99%

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An extended maximum tangential strain energy density criterion considering T‐stress for combined mode I–III brittle fracture

Hua

Huang

Pan

et al. 2020

Fatigue Fract Eng Mat Struct

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The maximum tangential strain energy density (MTSED) criterion was modified by taking the influences of stress intensity factors and T-stress into consideration for combined mode I-III brittle fracture. Furthermore, the Poisson's ratio and T-stress influencing the fracture characteristics of cracked components were discussed by using the extended MTSED criterion. Moreover, the predicted values of this extended MTSED criterion and some testing results were comparatively analysed. The results indicate that the Poisson's ratio and T-stress have no impact on the out-of-plane initiation angle; however, their effects on fracture resistance ratios are significant especially for pure mode III. A positive T-stress increases the fracture resistance ratio, and it is opposite for a negative T-stress. The predicted values calculated by the extended MTSED criterion agree very well with the testing data obtained with edge-notched disc bend samples especially for pure mode III case.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An extended maximum tangential strain energy density criterion considering T‐stress for combined mode I–III brittle fracture

Hua

Huang

Pan

et al. 2020

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…The first concept is based on the method of strain energy release rate and stress intensity factor in fracture mechanics. [48][49][50][51] . The fracture mechanics-based approach has been employed for prediction of buckling load in composite laminates with initial delamination.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation of stiffener effects on buckling strength of composite laminates with circular cutout

Shojaee

Mohammadi

Madoliat

2019

Journal of Composite Materials

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In the notched structures, to achieve maximum buckling resistance in comparison with structural weight, the optimal design of a stiffener is very important. In this research, after a review of the existing literature, nonlinear buckling behavior of composite plates containing the cutout with three different designs of stringer was investigated. The considered stiffeners are planer, longitudinal, and ring types. The buckling experiments were carried out on the stiffened plates containing a circular notch. Moreover, to achieve an efficient prediction of the buckling in the stiffened laminate with the hole, a finite strip method is developed based on the Airy stress function and von Karman’s large deformation equations. Studies show that there is a good agreement between the postbuckling behaviors derived from developed finite strip method with experimental results. Fast convergence of the considered finite strip method compared with the finite element results shows its efficiency for prediction of buckling behavior in laminated composites. The results show that the buckling load-bearing capacities of perforated plates with a longitudinal and planer stiffener are higher compared with the other stiffener, respectively. The detailed parametric study on the effects of thickness of the plate and stiffener and opening diameter on buckling behavior was performed using experiments and modeling.

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“…One of the fundamental ideas in the assessment of brittle fracture is the local mode I concept [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The proposal of mode I dominance was suggested when dealing with cracked plates under plane loading and transverse shear, where the crack grows in the direction almost perpendicular to the maximum tangential stress (MTS) in the radial direction from its tip [1].…”

Section: Introductionmentioning

confidence: 99%

“…The proposal of mode I dominance was suggested when dealing with cracked plates under plane loading and transverse shear, where the crack grows in the direction almost perpendicular to the maximum tangential stress (MTS) in the radial direction from its tip [1]. This theory is one of the widely used theories for mixed-mode crack growth [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In more detail, the criterion states that the crack propagation starts along the direction on which the tangential stress becomes maximum.…”

Section: Introductionmentioning

confidence: 99%

Modeling of crack growth under mixed-mode loading by a molecular dynamics method and a linear fracture mechanics approach

Stepanova¹

2017

AIP Conference Proceedings

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Corresponding author: stepanovalv@samsu.ruAbstract. Atomistic simulations of the central crack growth process in an infinite plane medium under mixed-mode loading using Large-Scale Atomic/Molecular Massively Parallel Simulator (LAMMPS), a classical molecular dynamics code, are performed. The inter-atomic potential used in this investigation is the Embedded Atom Method (EAM) potential. Plane specimens with an initial central crack are subjected to mixed-mode loadings. The simulation cell contains 400,000 atoms. The crack propagation direction angles under different values of the mixity parameter in a wide range of values from pure tensile loading to pure shear loading in a wide range of temperatures (from 0.1 K to 800 K) are obtained and analyzed. It is shown that the crack propagation direction angles obtained by molecular dynamics coincide with the crack propagation direction angles given by the multi-parameter fracture criteria based on the strain energy density and the multi-parameter description of the crack-tip fields. The multi-parameter fracture criteria are based on the multi-parameter stress field description taking into account the higher order terms of the Williams series expansion of the crack tip fields.

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Development of a brittle fracture criterion for prediction of crack propagation path under general mixed mode loading

Cited by 32 publications

References 40 publications

An extended maximum tangential strain energy density criterion considering T‐stress for combined mode I–III brittle fracture

An extended maximum tangential strain energy density criterion considering T‐stress for combined mode I–III brittle fracture

Experimental and numerical investigation of stiffener effects on buckling strength of composite laminates with circular cutout

Modeling of crack growth under mixed-mode loading by a molecular dynamics method and a linear fracture mechanics approach

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