Evaluation of the SIF and T-stress values of the Brazilian disc with a central notch by hybrid method

Miarka, Petr; Cruces, Alejandro S.; Seitl, Stanislav; Malíková, Lucie; López-Crespo, P.

doi:10.1016/j.ijfatigue.2020.105562

Cited by 24 publications

(11 citation statements)

References 39 publications

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“…The algorithm is implemented using in the mathematical software Maple. One can use the described approach and present equation (1) in the matrix form as σ=CA (4) The closed form solution of (4) for the unknown vector of fracture mechanics parameters A can be written as…”

Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

“…It is well-known that stress fields in the vicinity of the crack tip in an isotropic linear elastic material are characterized by stress intensity factors for Mode I and Mode II loadings respectively. Nowadays identification of stress intensity factors as functions of crack geometry and loading conditions is an active area of research [1][2][3][4][5][6]. Together with stress intensity factors, T-stress and higher-order terms play significant role in quantifying material failure under load.…”

Section: Introductionmentioning

confidence: 99%

“…Together with stress intensity factors, T-stress and higher-order terms play significant role in quantifying material failure under load. Many authors [1][2][3][4][5][6] show an essential consideration of higher order terms in Williams series expansion. Several approaches for determination of these fracture mechanics parameters have been proposed.…”

Section: Introductionmentioning

confidence: 99%

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Determination of Continuum Fracture Mechanics Parameters for Molecular Dynamics Simulations

Степанова¹,

Belova²,

Bronnikov³

2021

14th WCCM-ECCOMAS Congress

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This study is aimed at determination of continuum fracture mechanics parameters such as stress intensity factors, T-stress and higher-order terms, from molecular dynamics simulation performed for copper plate with narrow diamond-like crack. For this purpose, an embedded atom potential (EAM) available in LAMMPS (Large-scale Atomic/Molecular Massively Parallel Simulator) molecular dynamics (MD) software is utilized to accurately describe mixed-mode crack growth. The stresses calculated from MD method using the virial theorem are used for over-deterministic method for extracting stress intensity factors, T-stress and higherorder terms of Williams series expansion. It is shown that the algorithm of the over-deterministic method can be generalized for MD calculations and gives the reasonable value of continuum fracture mechanics parameters. The obtained value of stress intensity factors, T-stresses and higher order terms are compared with the theoretical values for an infinite plate with the central crack under Mode I loading and Mixed Mode loading conditions for several values of the mixity parameter which defines the type of Mixed Mode loading.

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Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Determination of Continuum Fracture Mechanics Parameters for Molecular Dynamics Simulations

Степанова¹,

Belova²,

Bronnikov³

2021

14th WCCM-ECCOMAS Congress

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show abstract

“…Many experimental, analytical, and numerical works were devoted to study the behavior of loaded cracks in specimens made of various brittle materials under compressive loading 2–4 . Such investigations extensively used centrally cracked Brazilian disc (CCBD) as a specimen 5–8 of thickness t and radius R containing a central crack of length 2 a inclined at an angle θ as shown in Figure 1. Thus, CCBD specimens are of practical importance in mixed‐mode I/II fracture mechanics tests particularly those dealing with brittle materials and further in modeling some practical situations as mentioned below.…”

Section: Introductionmentioning

confidence: 99%

Mixed‐mode stress intensity factors via centrally cracked Brazilian disc with wide‐range controlling parameters

Hammouda

2021

Fatigue Fract Eng Mat Struct

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This work determines analytically normalized mode I and mode II stress intensity factor (SIF) of a Brazilian disc having a central inclined crack with smooth surfaces. Two basic types of loading are considered: (1) partial compression with uniform pressure and (2) two‐force diametric compression with confining pressure. The present analysis is based on a widely used published solution of the SIFs of the cracked disc as a result of applying two‐force diametric compression. Wide‐range parameters controlling the behavior of the disc are considered. The parameters involve relative crack length, crack inclination, half‐pressure angle, and confining pressure. The conditions required for transmitting from mixed‐mode I/II loading to pure mode II loading are well defined. Good agreement has been generally obtained with relevant results found in the literature.

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“…Brazilian disc with a central notch under mixed-mode I / II loading using the DIC method and estimated mode I and II SIF's and T-stress term using the hybrid method[93]. Zhang et al numerically investigated the effect of prefabricated crack width on the SIF's of the notched semi-circular bend using FEM and proposed new formulas for mode I and II SIF's[94].…”

mentioning

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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Evaluation of the SIF and T-stress values of the Brazilian disc with a central notch by hybrid method

Cited by 24 publications

References 39 publications

Determination of Continuum Fracture Mechanics Parameters for Molecular Dynamics Simulations

Determination of Continuum Fracture Mechanics Parameters for Molecular Dynamics Simulations

Mixed‐mode stress intensity factors via centrally cracked Brazilian disc with wide‐range controlling parameters

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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