Stress intensities at notch singularities

Dunn, Martin L.; Suwito, Wan; Cunningham, Shawn

doi:10.1016/s0013-7944(97)00019-2

Cited by 122 publications

(55 citation statements)

References 24 publications

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“…When β → 0, computed values become close to known stress intensity factors for the system of periodic cracks in the edge of half-plane (Savruk 1988). The curve a/ = ∞ corresponds to the known solution (Savruk and Kazberuk 2007) for a single Vnotch in half-plane and agrees well with results obtained previously (Gross and Mendelson 1972;Theocaris and Ioakimidis 1979;Noda et al 1996;Strandberg 1999;Dunn et al 1997a;Chen 1995;Noda and Takase 2003;Dini and Hills 2004) for selected values of notch angles.…”

Section: Unified Approach To Problems Of Stress Concentration Near V-supporting

confidence: 89%

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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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Section: Unified Approach To Problems Of Stress Concentration Near V-supporting

confidence: 89%

“…5 with respect to unidirectional (q = 0) and bi-directional ( p = q) load case. Calculated stress intensity factors for diamond-shaped hole agree well with the available results obtained using other methods (Noda et al 1996;Dunn et al 1997a). …”

Section: Unified Approach To Problems Of Stress Concentration Near V-supporting

confidence: 84%

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

Savruk

Kazberuk

2009

Int J Fract

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“…(11), the characteristic equation for the out-of-plane singular mode is exactly the same as for Mode III subject to the same boundary conditions (Qian and Hasebe 1997;Dunn et al 1997). However, several major differences distinguish between these two singular modes.…”

Section: First Order Plate Theory Predictionsmentioning

confidence: 99%

Transverse singular effects in V-shaped notches stressed in mode II

et al. 2010

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The concept of a stress singularity is a cornerstone of modern fracture mechanics. A new mode of stress singularity, the out-of-plane singular mode or K (O) mode, was recently identified for V-shaped notches subjected to in-plane loading. This new mode is coupled with the shear mode and related to Poisson's effect. The previous studies based on the first order plate theory focused on the derivation of a characteristic equation describing the strength of this singularity and provide no information regarding the intensity, extent and relevance of this mode to practical problems. This paper aims to fill this gap. The approach utilises the 3D finite element method and a standard regression technique for characterisation of the notch singular modes. A comprehensive study of the influence of Poisson's ratio, plate thickness and notch opening angle on the value of the notch stress intensity factor associated with this mode is conducted for infinite plates. Additionally, to demonstrate the relevance of this new singular mode to practical problems an investigation of the out-of-plane mode and associated three-dimensional effects are presented for the case of a welded lap joint. Main areas of further research are also identified

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“…In some cases, notches are intentionally introduced in the mechanical parts such as gears, screws, bolts and nuts in order to achieve defined engineering objectives. In addition, notches also exist as a result of manufacturing processes such as anisotropic chemical etching while fabrication of microelectromechanical components [1] and injection moldings for manufacturing polystyrene products [2].…”

Section: Introductionmentioning

confidence: 99%

Effect of material properties on optimal radial strain gage locations in sharp V-notched configurations

Paul

Murthy

Chakraborty

2018

MATEC Web of Conferences

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Abstract.A simple yet reliable and powerful methodology using only one strain gage has been recommended for appropriate determination of notch stress intensity factor (NSIF) for sharp V-notched configurations subjected to mode I condition. The methodology is supported by strong theoretical postulates, and it permits the gage to be pasted prominently apart from tip of the notch thus avoiding various problems associated with singularities. Unlike the conventional methodologies, the recommended strain gage methodology also proposes optimal radial strain gage locations which are beneficial in appropriate determination of NSIFs. A FEM based numerical approach is adopted for obtaining optimal radial gage locations a priori for the aforesaid configuration. The optimal radial gage locations are observed to be influenced by parameters viz. the notch angle, the ratio of notch length to width of the plate and also material properties. Results were already published by the authors to establish that the optimal radial gage locations are influenced by the notch angle and the ratio of notch length to width of the plate. In this conference paper, a case is studied with a completely different material to check whether material properties influence the graphical trends of results or not.

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Stress intensities at notch singularities

Cited by 122 publications

References 24 publications

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

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

Transverse singular effects in V-shaped notches stressed in mode II

Effect of material properties on optimal radial strain gage locations in sharp V-notched configurations

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