Weight functions and stress intensity factors for corner quarter-elliptical crack in finite thickness plate subjected to in-plane loading

Kiciak, A.; Glinka, G.; Eman, M.; Shiratori, Masaki

doi:10.1016/s0013-7944(98)00006-x

Cited by 32 publications

(16 citation statements)

References 18 publications

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“…[27] or Ref. [28] which makes growth computations solely based on the surface value unreliable. For this reason it is beneficial to analyse the crack as a whole, as the semi‐elliptical model does.…”

Section: Discussionmentioning

confidence: 99%

Influence of residual stresses from shot peening on fretting fatigue crack growth

Cadario

Alfredsson

2007

Fatigue Fract Eng Mat Struct

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A B S T R A C T One method to improve fretting fatigue life is to shot peen the contact surfaces. Experimental fretting life results from specimens in a Titanium alloy with and without shot peened surfaces were evaluated numerically. The residual stresses were measured at different depths below the fretting scar and compared to the corresponding residual stress profile of an unfretted surface. Thus, the amount of stress relaxation during fretting tests was estimated. Elastic-plastic finite element computations showed that stress relaxation was locally more significant than that captured in the measurements. Three different numerical fatigue crack growth models were compared. The best agreement between experimental and numerical fatigue lives for both peened and unpeened specimens was achieved with a parametric fatigue growth procedure that took into consideration the growth behaviour along the whole front of a semi-elliptical surface crack. Furthermore, the improved fretting fatigue life from shot peening was explained by slower crack growth rates in the shallow surface layer with compressive residual stresses from shot peening.The successful life analyses hinged on three important issues: an accurate residual stress profile, a sufficiently small start crack and a valid crack growth model.

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Section: Discussionmentioning

confidence: 99%

Influence of residual stresses from shot peening on fretting fatigue crack growth

Cadario

Alfredsson

2007

Fatigue Fract Eng Mat Struct

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“…The SIF is usually given in a dimensionless form (the so-called geometry correction factor), which takes into account the effects of the boundary conditions as well as the shape and size of structure and flaw. [11][12][13][14] Different approaches have been proposed in the literature to determine the SIF: analytical methods, [15][16][17][18] the weight function method, [19][20][21][22][23][24][25] the body force method, 26 empirical relationships, [27][28][29] and numerical methods, [30][31][32][33][34][35][36][37][38][39] [such as the finite element method (FEM), the line spring FEM approach, 31 the stiffness derivative method, 30 and the virtual crack closure technique 32 ]. A general discussion related to numerical methods applied to fracture mechanics problems can be found in Bazant et al 40,41 More recent computational tools employed in fracture problems can also be recalled, as the dual boundary element method 42,43 and the meshless methods.…”

Section: S T R E S S -I N T E N S I T Y F a C T O R S F O R S U R F Amentioning

confidence: 99%

Surface cracks in fatigued structural components: a review

Brighenti

Carpinteri

2013

Fatigue Fract Eng Mat Struct

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Surface cracks are a common occurrence in structural components due to the frequently highest values of the stress at the outer boundary of the body and to the presence of defects. Such flaws can heavily reduce the service life of structural components leading to their premature failure, especially under repeated loading. During last decades, many research works based on theoretical, numerical and experimental techniques have been performed, mainly devoted to the determination of the stress‐intensity factors for recurrent surface crack shapes, different loading types and boundary conditions. Further, fatigue behaviour of surface cracks has been examined through numerical analyses or by simplifying the expected crack growth process. In the present paper, a literature survey is carried out by discussing the main topics related to the safety assessment of structural components with surface cracks under static or fatigue loading.

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“…Nonetheless, the "user-friendly" characteristic is only true if appropriate h s are known in priory because an in-situ assessment of an h s will most often require a fracture mechanic finite analysis and complex curve fitting regimes that compromise the appeal of the MWF approach. At present, the vast majority of documented h s comprise cracked structures that include a variety of cracked infinite bodies or bodies that are representative of a selection of semi-infinite or finite length rigidly restrained cracked plate, semi-infinite cracked hollow cylinder, semi-infinite plate with cracked fastener holes and semi-infinite cracked joint [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Thus, the implementation of a traditional MWF approach is presently unsuitable for "userfriendly" assessment of K TS I associated with finite length elastically/thermoelastically restrained cracked plates and finite length elastically/thermoelastically restrained cracked hollow cylinders.…”

Section: Introductionmentioning

confidence: 99%

Compliance-Based Assessment of Stress Intensity Factor in Cracked Plates with Finite Boundary Restraint: Application to Thermal Shock Part I

Fillery

2010

Journal of Thermal Stresses

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The evaluation of mode I stress intensity factor K TS I associated with the creep-free thermal shock (TS) of finite length elastically/thermoelastically restrained cracked plates is a problem of interest. Among existing evaluation methodologies, the mechanical weight function approach is often perceived to be an optimal compromise between simplicity and accuracy for K TS I evaluation. However, to confidently apply the mechanical weight function methodology in such circumstances requires the derivation of different weight functions for each potential boundary restraint configuration, i.e., free, flexible or rigid boundary conditions. In this article, the traditional mechanical weight function philosophy is complimented with an elastic compliance analysis, enabling the mechanical weight function and geometry factors for an equivalent semi-infinite cracked plate to be used to evaluate K TS I associated with finite length elastically/thermoelastically restrained cracked plates. The need for deriving different weight functions is therefore removed and the proposed Compliance Adjusted Weight Function (CAWF) approach becomes more "user-friendly". The targeted cracked plates are assumed to exhibit an exterior through-the-thickness edge crack or an exterior through-the-thickness semi-elliptical surface crack.

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Weight functions and stress intensity factors for corner quarter-elliptical crack in finite thickness plate subjected to in-plane loading

Cited by 32 publications

References 18 publications

Influence of residual stresses from shot peening on fretting fatigue crack growth

Influence of residual stresses from shot peening on fretting fatigue crack growth

Surface cracks in fatigued structural components: a review

Compliance-Based Assessment of Stress Intensity Factor in Cracked Plates with Finite Boundary Restraint: Application to Thermal Shock Part I

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