A Semi-theoretical criterion based on the combination of strain energy release rate and strain energy density concepts (STSERSED): Establishment of a new approach to predict the fracture behavior of orthotropic materials

Khaji, Zahra; Fakoor, Mahdi

doi:10.1016/j.tafmec.2022.103290

Cited by 13 publications

(3 citation statements)

References 93 publications

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“…In Ref [99], a new approach to develop the prediction of fracture in orthotropic materials was proposed as the midpoint of experimental data. The midpoint of experimental data is determined after testing and examining mode I and II SIF's.In the experimental test of specimens, different mode mixities from pure mode I to pure mode II are possible.…”

Section: Development Of Isedm Criterion With the Midpointmentioning

confidence: 99%

Applying the new experimental midpoint concept on strain energy density for fracture assessment of composite materials

Khaji

Fakoor

Farid

et al. 2022

Theoretical and Applied Fracture Mechanics

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Section: Development Of Isedm Criterion With the Midpointmentioning

confidence: 99%

Applying the new experimental midpoint concept on strain energy density for fracture assessment of composite materials

Khaji

Fakoor

Farid

et al. 2022

Theoretical and Applied Fracture Mechanics

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“…The natural rock mass contains numerous initial fractures, as shown in Figure 1. The interaction between these cracks, i.e., the influence of arbitrary secondary cracks on the main crack, is one of the main factors used to determine the stability and damage of engineering rock masses; therefore, it is important to investigate the influence of arbitrary secondary cracks on the main crack of rocks and study their propagation law [1][2][3] With the continuous advancements in geotechnical engineering, such as in the domains of mining, transportation, and hydropower, various results have emerged in the field of rock mechanics based on the fracture mechanics theory, facilitating the study of the crack propagation law and fracture mechanics behavior of rocks; for example, the minimal strain energy density criterion [4], maximum circumferential stress criterion [5], maximum energy release rate criterion [6], Kachanov method [7], and improved Kachanov method [8].…”

Section: Introductionmentioning

confidence: 99%

Prediction of rock tensile-shear fracture propagation and crack interaction

Li,

Qin

et al. 2023

Preprint

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The interaction and influence between various rock cracks (unequal and noncolinear) are the root cause of fracture in natural rock bodies. In this study, to analyze the interaction law of such cracks, elastic mechanics and the principle of distributed dislocation were superimposed to calculate the mechanical parameters and expressions of the tip stress intensity factor (SIF) and equivalent SIF of two tensile-shear cracks subjected to far-field force. The effects of secondary crack characteristics on the interactions of SIFs at the main crack tip were theoretically analyzed. Then, a secondary crack inclination angle prediction model was established based on the PSO-LSTM theory. The calculated SIF was found to be consistent with the results of the classical Kachanov method and SIF handbook, which further verified the correctness of the derived expression. The results of this study can provide theoretical guidance for evaluating the stability of underground rock excavation projects.

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“…Fracture criteria for isotropic and orthotropic materials are classified into three categories based on energy, stress, and strain. To understand accurately the fracture behavior of orthotropic materials under mixed-mode I / II loading, new criteria based on the maximum tangential stress [36][37][38][39][40][41], minimum strain energy density [20,[42][43][44][45][46][47][48][49], and maximum strain energy release rate [50][51][52][53][54][55][56][57], maximum shear stress [58][59][60], and maximum tangential strain [61][62][63][64] criteria were presented.…”

Section: Introductionmentioning

confidence: 99%

Presentation of a new wood test specimen to investigate the fracture behavior of orthotropic materials under mixed-mode I/II loading

Fakoor

Khali

2022

Preprint

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In this paper, a new test specimen as "Center Notched Disk Tension (CNDT)" to study mode I and II stress intensity factors (SIF’s) in orthotropic materials is presented. In the field of Fracture Mechanics, mode I and II SIF’s play an important role to describe the stress distribution. In CNDT specimens, for crack along the fibers, mode mixity is created by changing the loading direction. Also, by changing the crack-fibers direction for the desired crack-load, various mode mixity can be created. For desired crack-fiber angle, by changing the loading share, different mode mixities are created. Thus, the crack kink changes the loading shares. In this analysis, a comprehensive study is performed on the influence of crack-fibers orientation and crack-loading direction on SIF’s. For the first time, SIF’s are presented for cracked orthotropic specimens in different crack-fibers and crack-loading directions. SIF’s are estimated using the Finite Element Method (FEM). The presented specimen is standardized using a unite load in different directions. The crack length is assumed to be constant. Analytical relationships are also presented for the crack tip parameters in mode I and II. Pure mode I and II conditions are investigated based on SIF’s. Due to the difficulty of establishing pure mode II conditions, it is possible to establish pure mode II conditions at certain crack-fiber and load-crack angles. In these situations, mode II SIF’s can be extracted. The obtained results are validated using reported results in the literature.

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A Semi-theoretical criterion based on the combination of strain energy release rate and strain energy density concepts (STSERSED): Establishment of a new approach to predict the fracture behavior of orthotropic materials

Cited by 13 publications

References 93 publications

Applying the new experimental midpoint concept on strain energy density for fracture assessment of composite materials

Applying the new experimental midpoint concept on strain energy density for fracture assessment of composite materials

Prediction of rock tensile-shear fracture propagation and crack interaction

Presentation of a new wood test specimen to investigate the fracture behavior of orthotropic materials under mixed-mode I/II loading

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