Three-dimensional stress states at crack tip induced by shear and anti-plane loading

Kotousov, Andrei; Lazzarin, P.; Berto, Filippo; Pook, L. P.

doi:10.1016/j.engfracmech.2013.04.010

Cited by 148 publications

(103 citation statements)

References 27 publications

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“…As a result, at the exact corner point the definition of crack stress intensity factor loses its meaning, since an inverse square root singular field no longer exists Parks, 1988, 1989). (ii) Modes II and III become coupled, meaning that applying primary shear or anti-plane loading on the plate also generates a coupled mode III, or mode II crack deformation, respectively (Bažant and Estenssoro, 1979;Parks, 1988, 1989;Kotousov et al, 2013). This coupling occurs due to the Poisson's ratio effect or the redistribution of stresses near the free surfaces (Kotousov et al, , 2013Pook et al, 2014).…”

Section: Evaluation Of Sifs Near the Meeting Point Of Crack Front Andmentioning

confidence: 99%

“…(ii) Modes II and III become coupled, meaning that applying primary shear or anti-plane loading on the plate also generates a coupled mode III, or mode II crack deformation, respectively (Bažant and Estenssoro, 1979;Parks, 1988, 1989;Kotousov et al, 2013). This coupling occurs due to the Poisson's ratio effect or the redistribution of stresses near the free surfaces (Kotousov et al, , 2013Pook et al, 2014). For example, when a primary mode II crack deformation (K II > 0) is applied to the cracked plate, a coupled mode III deformation also occurs due to the Poisson's effect, as the plate above the crack plane is expanded along thickness direction, while the region below the crack plane is contracted.…”

Section: Evaluation Of Sifs Near the Meeting Point Of Crack Front Andmentioning

confidence: 99%

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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: Evaluation Of Sifs Near the Meeting Point Of Crack Front Andmentioning

confidence: 99%

Section: Evaluation Of Sifs Near the Meeting Point Of Crack Front Andmentioning

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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“…If a crack surface is considered as consisting of points then the three modes of crack surface displacement provide an adequate description of the movements of crack surfaces when a load is applied. Assuming a Poisson's ratio, v, greater than zero, and also assuming that the crack front is perpendicular to a surface of a body, as is done in this paper, then it is possible to prove that modes II and III at the crack tip cannot exist in isolation (Kotousov et al, 2013;Lazzarin & Zappalorto, 2012). Mode II causes mode III c and mode III generates mode II c .…”

Section: Introductionmentioning

confidence: 86%

Corner point singularities under in-plane and out-of-plane loading: a review of recent results

Berto¹,

Pook²,

Campagnolo³

2017

10.5267/j.esm

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The linear elastic analysis of homogeneous, isotropic cracked bodies started in the 1900s. The existence of three dimensional corner point effects in the vicinity of a corner point where a crack front intersects a free surface was investigated in the late 1970s. An approximate solution by Bažant and Estenssoro explained some features of corner point effects but there were various paradoxes and inconsistencies. Results derived from finite element models showed that the analysis is incomplete. The stress field in the vicinity of a corner point appears to be the sum of two different singularities (i.e. stress intensity factors and corner point singularities). In this paper some recent results for the corner point singularities under in and out of plane loadings is reviewed and discussed.

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“…As a result, it is hypothesized that the methodology outlined above has the potential to study the growth of small naturally occurring cracks that arise and grow form rough surfaces in Additively Manufactured Ti-6Al-4V. As an important factor in failure assessments under fatigue and static loading, 3D effect has been studied in numerous researches and 3D effects in the form of stress state have been investigated for wide variety of notch geometries under various in-plane and out of plane loading conditions by considering stress concentration factors and constraint factors throughout the thickness of the specimen [48,49]. As a representative of stress state in cracked and notched components, the variations of the stress concentration factor as a function of the thickness have been studied in some recent researches by Berto and co-researchers [50][51][52][53][54][55][56].…”

Section: Implications For Additively Manufactured Structuresmentioning

confidence: 99%

Effect of corrosion and fatigue on the remaining life of structures and its implication to additive manufacturing

Peng

Jones²,

Berto

et al. 2018

Frattura Ed Integrità Strutturale

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ABSTRACT. This paper investigates the combined effect of corrosion and fatigue on the growth of cracks that arise from natural corrosion in steel bridges. It is shown that if these two effects need to be simultaneously analyzed. If not, then the resulting life is not conservative. Consequently, to enable a better understanding of the remaining life of steel bridges this paper presents a simple methodology for performing this coupled analysis. The implication of this study to additively manufactured Ti-6Al-4V is also discussed. KEYWORDS. Steel bridges; Corrosion; Fatigue crack growth; Remaining life.Citation: Peng., D., Jones, R., Berto, F., Razavi, S.M.J., Effect of corrosion and fatigue on the remaining life of structures and its implication to additive manufacturing, Frattura ed Integrità Strutturale, 45 (2018) 33-44.

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Three-dimensional stress states at crack tip induced by shear and anti-plane loading

Cited by 148 publications

References 27 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

Corner point singularities under in-plane and out-of-plane loading: a review of recent results

Effect of corrosion and fatigue on the remaining life of structures and its implication to additive manufacturing

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