On the “local approach” to the brittle fracture of structural materials

Krasovs’kyi, A. Ya.

doi:10.1007/s11003-006-0070-0

Cited by 8 publications

(5 citation statements)

References 8 publications

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“…Pugno and Ruoff [2004] introduced their so-called quantized fracture mechanics (QFM) approach, which modified Novozhilov's theory. In QFM, the restrictions of Novozhilov's theory were removed and this made QFM a useful approach for analysis of very short cracks (see also Krasovs'kyi [2006]; Morozov and Petrov [2002]; Cornetti, et al [2006]; Leguillon [2002] for more related works). In their approach the differentials in Griffith's criterion were replaced by finite differences (see Wnuk and Yavari [2008] for a discussion).…”

Section: Introductionmentioning

confidence: 99%

Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics

Yavari

Khezrzadeh

2010

Engineering Fracture Mechanics

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In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal roughness. We then study the phenomenon of reaching a terminal velocity. Assuming that propagation of a fractal crack is discrete, we predict its terminal velocity using an asymptotic energy balance argument. In particular, we show that the limiting crack speed is a material-dependent fraction of the corresponding Rayleigh wave speed.

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Section: Introductionmentioning

confidence: 99%

Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics

Yavari

Khezrzadeh

2010

Engineering Fracture Mechanics

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“…(5) kırılma modelinin çatlak ilerleme mekanizmasında; Ana çatlak ucundan belirli bir mesafede ( ) dış kuvvet sonucu oluşan kritik gerilim ( ) etkisiyle bir mikro çatlak meydana gelir ve bu mikro çatlak, ana çatlağa doğru hareket eder ve ana çatlak ile birleşir (aynı işlem defalarca tekrar etmektedir). Bu kırılma mekanizmasının matematiksel ifadesi, aşağıdaki denklemde verilmiştir (Krasovs'kyi, 2006;Krasowsky, 1980;Krasowsky vd., 1983).…”

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Ferritik Çeliklerde Kırılma Tokluğunun Saptanmasında Farklı Bir Yaklaşım

Aytekin¹,

Akcin²,

Özçatal³

2020

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Öz Günümüzde, malzeme seçimi, geleneksel olarak malzemenin akma dayanımına göre yapılmaktadır. Ancak burada, parça dizaynı veya geometrik unsurlardan kaynaklanan gerilim konsantrasyonları dikkate alınmamaktadır. Bu şartların değerlendirilmesi, sadece malzemenin kırılma tokluğu ile mümkündür. Kırılma tokluğunun saptanmasında, metalik malzemeler için, ASTM E-399 standardı geliştirilmiştir. Bu standart uyarınca, düzlemsel deformasyon durumuna (gevrek kırılma) uygun olarak hazırlanmış olan numuneler test edilir. Özellikle ferritik çeliklerde, bu durum büyük boyutlu numuneler üzerinde deney yapılmasını gerektirir ve böylece söz konusu çeliklerin kırılma tokluğunun saptanması zorlaşır. Bununla birlikte, bazı alternatif yöntemler geliştirilmiştir. Başlıca yöntemler, J-İntegral ve COD yöntemleridir. J-İntegral yönteminin yüksek toleransının sınır şartlarını belirlemek için ASTM E-1921 standardı geliştirilmiş ve Master Curve (MC) kavramı ortaya atılmıştır. Bu yöntemlerin olumsuz yanı, oldukça yüksek tolerans göstermesidir. Bu çalışmada, kırılma tokluğunun saptanmasında yeni bir yöntem incelenmiş ve literatürde yapılmış çalışmalar derlenerek, yeni bir yaklaşım ile yöntemin geliştirilmesi amaçlanmıştır.

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“…Dunn et al 1997b;Isupov and Mikhailov 1998;Atzori et al 1999;Suwito et al 1999;Lazzarin and Zambardi 2001;Leguillon 2002;Strandberg 2002;Leguillon and Yosibash 2003;Krasovs'kyi 2006) and was later generalized to the case of mixed mode fracture (Seweryn and Mróz 1995;Mróz and Seweryn 1998;Seweryn 1998;Seweryn and Łukaszewicz 2002). This criterion is useful for sharp as well as for rounded notches, with the assumption that the value of d 0 is constant for the particular material.…”

Section: Fracture Criterion For Notched Solidsmentioning

confidence: 99%

Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches

Savruk

Kazberuk

2009

Int J Fract

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The survey of research on the problems of fracture mechanics of solids with V-shaped notches is discussed. The methods of solution of plane problems of the elasticity theory for domains with angular points on boundary contours are considered. Special attention is paid to the results of the research which authors obtained applying the unified approach to the solution of stress concentration problems in the neighborhood of the vertices of sharp and rounded V-notches. The solutions of elastostatics problems for domains with rounded V-shaped notches were obtained by singular integral equation method. Based on the relation between stress intensity factor at the sharp notch vertex and the stress concentration factor at the vertex of rounded V-notch (notch with straight edges and vertex rounded with circular arc), the stress intensity factors for V-notches in various domains were obtained. The presented examples include notch stress intensity factors for periodically placed notches in the edge of halfplane, diamond and lens-like holes in infinite plane. Through limit transition from the system of periodically placed diamond-shaped ovals to infinite doublesided notch, the stress concentration factors for rounded deep V-notch and the notch stress intensity factors for sharp notch were obtained. The comparison between calculated data and known solutions for the hyperbolic notch documents strong influence of the notch shape in the neighborhood of the rounded vertex on the stress concentration values for small vertex radii. The numerical results are presented not only in graphical form but also the numerous approximation formulas are given. Based on the solution of the nonlinear problem of rounded V-notch with plastic strip at the vertex, the new deformation fracture criterion is proposed. This criterion contains only standard strength parameters and it is intended to determine fracture toughness of the elements with rounded notches made of quasibrittle materials.

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On the “local approach” to the brittle fracture of structural materials

Cited by 8 publications

References 8 publications

Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics

Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics

Ferritik Çeliklerde Kırılma Tokluğunun Saptanmasında Farklı Bir Yaklaşım

Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches

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