A surface cracked pipe with outer diameter, d and wall thickness, t, were considered in this. Calculation of sifs for semielliptical surface cracks in. A steel pressure vessel with a semielliptical surface crack 9mm long and 3. Semielliptical definition of semielliptical by the free. Elasticplastic threedimensional finite element fe calculations were performed on a semi elliptical inner surface crack of a pressure vessel using the fe program adina. Stressintensity factors for semielliptical surface. Stress and fracture analyses of semi elliptical surface cracks. Glinka department of mechanical engineering, university of waterloo, waterloo, ontario n2l 3g1, canada abstractthe weight function for the surface point of a semi elliptical crack in a plate of finite thickness has been derived and tested against numerical. Pfm calculation with surface semi elliptical cracks for more comparison, we calculated two cases for surface crack analysis. The formula can be divided into the following two parts.
Fatigue crack growth of semielliptical surface cracks. In this study, sif for axial semi elliptical surface cracks and embedded elliptical cracks at longitudinal butt welded joints of steel liners are studied by means of the finite element method. This analysis accounts for both the frictional forces between the contact surfaces and between the crack faces, as well as including fluid pressure acting on the crack faces. Introduction many investigations have shown that sudden failures of aircraft components, pressure vessels or pipeline systems might occur due to presence of surface cracks. Engineering critical assessment for offshore pipeline with. The stress intensity factor k of the models were determined and compared to the equation. Fracture mechanics analysis of a pressure vessel with a. Proceedings of the asme 2016 35th international conference on ocean, offshore and arctic engineering. Stress intensity factor calculations for semielliptical surface cracks in round bars subjected to bending and torsion using a threedimensional finite element model are presented. Case 3 is to calculate surface crack distribution analytically from embedded crack distribution with the procedure of asme code section xi 11, as follows. Semielliptical surface crack an overview sciencedirect. Fatigue modelling of semielliptical surface cracks in welded pipe geometries. In this paper the threedimensional mixed mode stress intensity factors for semi elliptical inclined cracks formed on elliptical hertzian contact surfaces are calculated.
Department of energy contract deac1 1 93pn38195 proposed for submittal to the 1997 asme pressure vessel and pidina conference beltis atomic power laboratory pittsburgh, pennsylvania 151220079 operated for the u. Rice the partthrough surface crack in an elastic plate. Subcritical modes of crack growth, such as fatigue crack growth or stress corrosion cracking, can be predicted using the stress intensity factor. The crack propagation analysis starting with a small semielliptical surface crack and ending with the enlarged crack penetrating the plate thickness the axis ratio is often assumed to be constant for simplification results in the sn curve of the welded joint under constantamplitude loading inverse slope k of the sn curve equals. Stress intensity factors for an embedded elliptical crack approaching the free surface of the semi infinite solid that is subjected to uniform tension perpendicular to the plane of crack are presented in a nondimensional form for various crack aspect ratios and crack distances from the free surface. The sif of a semielliptical surface crack in a plate subjected to pure bending can also be estimated by the alternating approach. Approximate determination of stress intensity factor for.
Surface defect interaction criteria from several assessment procedures are critically assessed and found to be satisfactory for cracks loaded in uniform tension. Solution restarts can be used for solving an analysis of cracks without computing the fracture parameters by turning off the fracture setting under solver controls. Analysis of surface crack growth can be initiated from a semi elliptical flaw postulated at the inner surface. Finite element study on semielliptical surface cracks in. A semielliptical surface crack in tension was modelled using abaquscae. Pfm analysis of embedded crack in rpv repository home.
Due to the torsion loading and a semielliptical surface crack, it is necessary to model the complete shaft geometry with the semi elliptical cracks placed at the middistance of the applied. The crack object only supports semi elliptical surface cracks. Figure 3 illustrates the probabilistic variables space. Stress intensity factors for semielliptical surface.
Improved stressintensity factors for semielliptical. To investigate the feasibility of using em in fracture mechanics, models incorporating em and standard single element type meshes were used. Stress intensity factor of semielliptical surface crack in. In addition, in one specimen, the surface crack penetrated welddeposited cladding into the highsulfur steel. Flaw stability analysis of semielliptical surface cracks. Vessel is made of low alloy steel and it is cladded with the austenitic cladding. A useful reference solution is that for the similarly aligned and loaded elliptical crack in an in.
The configuration of the semi ellipse follows the equation b 2 s. Using 3d digital image correlation 3ddic to measure. Fatigue crack growth behaviour of semielliptical surface. The paper concludes with a parametric study that provides a set of stressintensity factors for semi elliptical surface cracks covering a practical range of crack sizes, aspect ratios and material property gradations under tension, bending. The pressure was increased until the ligament yielded entirely. The data scatter is at a crack growth rate of 107 ms about % as indicated by the arrows in fig. The solutions obtained in the present work can be used in various practical applications, such as cracks in pressure vessels, welded structures and mechanical engineering compo. The geometrical configuration of semi elliptical surface crack in offshore pipeline is shown in fig 2 in which a is crack depth, and 2c is circumferential crack length. The following crack geometry equation and graph relate the crack length and depth i. The application of linearelastic fracture mechanics to fracture of surface crack specimens made of a highstrength d6ac steel are presented for both tension and bending loads.
The paper is presenting the fatigue crack growth fcg behavior of semi elliptical surface cracks for api x65 gas pipeline using sversion fem. Preliminary calculations for a flawed semi infinite solid have shown that the stress intensity factor at the deepest point on the crack front, which is the main concern of this paper, is little affected by whatsoever is happening in the boundary layer along the front surface. The stress intensity factor solution given by isida et al. The results for the semi efliptical surface cracks agreed quite well with the eac initiation criterion. How can i calculate the stress intensity factor of semi. Having the form or shape of half of an ellipse, especially when divided along the major axis.
Improved formula for the stress intensity factor of semi. This software is referred to as surface crack potential difference scpd and was awarded the. Stress intensity factors for axial semielliptical surface. Malekian, christian, wyart, eric, savelsberg, michael, teughels, anne, fouquet, pierreeric, minjauw, nicolas, and wendling, audrey. The stress intensity factor distributions along the crack front for various surface cracks ac 0. Weight functions and stress intensity factors for internal surface semi elliptical crack in thickwalled cylinder. Numerical sif results for semi elliptical cracks in expansion joint of pressure vessel in the present section, results are presented for all two cases considered fig. An experimental and theoretical investigation of surface crack growth in 28 mm thick steel plates loaded in pure bending was carried out.
Fatigue modelling of semielliptical surface cracks in. These are solved numerically for the case of a semi elliptical partthrough crack, with results compared to a. In order to assess the results from 3 we performed finite element computations on semielliptical surface cracks in infinitely long cylinders. The crack top and bottom face nodes are not connected through any constraint equation. Three semi elliptical cracks, their size and position and crack tips denotations the same procedure is applied for calculating geometry factors for all other crack tips, where, because. Proceedings of the asme 2009 pressure vessels and piping conference. The solution technique for multiple cracks in an infinite body has recently been developed by the prese. J integral solution for semielliptical surface crack in. Keywords crack length,fatigue crack growth, pressure vessel,stress intensity factor, semi elliptical crack. Stress intensity interaction between dissimilar semi. J integral solution for semielliptical surface crack in high density polyethylene pipe under bending article pdf available in materials and design 325.
Pdf stress intensity factors for circumferential surface. The tension and the bending of a finite thickness plate with a semielliptical surface crack is considered. This section details the validation of fe mesh generator before it is used for the parametric study of cracked platetoplate butt welds with parallel misalignment of same thickness. A method known as globallocal overlay technique was used in this study to predict the fatigue behavior that involve of two separate meshes each specifically for global geometry and local crack. Fatigue crack growth prediction of a semielliptical. An explicit weight function for semielliptical surface cracks m.
The experimental work involved testing plates with initial semi elliptical surface flaws with aspect ratios of ac 0. Stress intensity factors are determined numerically using an alternating technique with two. At first, the fe model of a plain plate containing a semielliptical surface crack generated by the mesh generator is verified by comparing the results obtained. An explicit weight function for semielliptical surface cracks. Stress intensity factors for semielliptical surface cracks with flaw aspect ratio beyond the asme xi limit. Crack growth and crack shape development were monitored using ac potential drop and beach marking techniques. I am modelling corner semi elliptical crack which is sub surface in abaqus.
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