Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending

Mechab, Boubaker; Sérier, B.; Bouiadjra, B. Bachir; Kaddouri, K.; Feaugas, X.

doi:10.1016/j.ijpvp.2010.11.001

Cited by 18 publications

(9 citation statements)

References 11 publications

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“…Deep surface crack growth ( / > 0.8) in pipes subjected to tension was studied [34], which indicated that the maximum and minimum SIF were always at the deepest point and the surface point, respectively. The effects of the ratio between the internal radius and the pipe thickness ( / ) were studied as well [36], which showed that the / ratio was an independent coefficient to the a/c and a/t ratio of SIF evaluation on surface cracks in metallic pipes. The initial crack dimensions can significantly affect the surface crack initiation and propagation.…”

Section: Crack Propagation Evaluationmentioning

confidence: 99%

“…The analytical method of evaluating the SIF of surface cracks in metallic pipes has been developed in recent years with the assistance of FEM, such as Refs. [12,30,36]. Circumferential surface cracks in offshore metallic pipes are often induced by girth weld defects.…”

Section: Analytical Evaluationmentioning

confidence: 99%

“…Among the literature in regard to the surface crack growth in pipes, experimental studies [12,[20][21][22][23][24][25][26], as an indispensable and important component, have been conducted on surface cracked pipes for the purpose of understanding the mechanism of surface crack growth, calibrating and validating related numerical and analytical evaluation methods. The majority of the studies focused on numerical approaches, mostly by means of the FE method [12,[27][28][29][30][31][32][33][34][35][36][37][38]. Analytical approaches [12,25,30], which are of significant value to guide practitioners in practical situations, are relatively insufficient.…”

Section: Introductionmentioning

confidence: 99%

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Surface Crack Growth in Offshore Metallic Pipes under Cyclic Loads: A Literature Review

Jiang

Hopman

2020

JMSE

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The surface crack, also known as the partly through-thickness crack, is a serious threat to the structural integrity of offshore metallic pipes. In this paper, we review the research progress in regard to surface crack growth in metallic pipes subjected to cyclic loads from the fracture mechanics perspective. The purpose is to provide state-of-the-art investigations, as well as indicate the remaining challenges. First, the available studies on surface cracked metallic pipes are overviewed from experimental, numerical, and analytical perspectives, respectively. Then, we analyse state-of-the-art research and discuss the insufficiencies of the available literature from different perspectives, such as surface cracks and pipe configurations, environmental influential parameters, the girth welding effect, and numerical and analytical evaluation methods. Building on these surveys and discussions, we identify various remaining challenges and possible further research topics that are anticipated to be of significant value both for academics and practitioners.

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Section: Crack Propagation Evaluationmentioning

confidence: 99%

Section: Analytical Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Surface Crack Growth in Offshore Metallic Pipes under Cyclic Loads: A Literature Review

Jiang

Hopman

2020

JMSE

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“…Введение. Анализ мирового опыта расчета элементов с дефектами подтверждает обоснованность поиска эффективных методов расчета материалов с трещинами [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

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Strain Concentration in Apices of Radial Cracks in a Thin Coated Pipe Wall

Payzulaev¹,

Rashidova²,

Sobol³

2017

Vestn. Dagest. gos. teh. univ., Teh. nauki

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The well-known discontinuous solution method, used in the study of infinite and semi-infinite domains, is generalised during the construction of solutions in Fourier series. This makes it possible to reduce the problem of the mechanics of a deformable solid for a limited region containing cuts or inclusions to the solution of an integral equation (or system) with respect to discontinuities of the functions being defined. Methods The method was implemented through the application to the solution of the theoretical elasticity problem for a pipe section (plane deformation) weakened by an internal radial crack. The pipe was loaded with hydrostatic pressure and a thin coating is applied on its inner surface, improving its physical and mechanical properties. The applied method, combined with the conventional integral transformation, can be effectively used in the construction of discontinuous solutions of three-dimensional problems of the theory of elasticity. Results Specially formulated boundary conditions were used as a coating model. In order to verify the adequacy of the adopted model, a series of numerical experiments was carried out. In some cases, calculations were carried out for the cross-section of a coated pipe in finite-element ANSYS and COMSOL software packages. In others, benefiting from the extensive capabilities of the FlexPDE software package, an uncoated pipe model was constructed, although using special boundary conditions. Comparison of the results obtained made it possible to ascertain the adequacy of the models constructed across a certain range of geometric and physical parameters. Conclusion The problem is reduced to the solution of a singular integral equation with a Cauchy kernel with respect to the derivative of the jump in the tangential component of the displacement vector on the crack edges. Its solution is determined by the collocation method with a pre-selected feature. The ultimate goal of the study is to determine the values of the strain intensity coefficient at the apices of the crack.

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“…In [7], based on this method, the strength of a part of the pipeline with a circumferential crack in a weld is considered. In the case where the circumferential crack lies outside the weld and a part of the pipeline is subjected to the action of torques, the process of propagation of the crack in linear and nonlinear cases is investigated in [14] on the basis of finite-element analysis.…”

mentioning

confidence: 99%

Determination of the triaxial distribution of residual stresses in welded joints of structural elements with rectilinear seams and estimation of their influence on joint strength in the presence of crack-type defects

Osadchuk¹,

Tsymbalyuk²,

Dzyubyk³

2012

J Math Sci

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On the basis of a three-dimensional theory, we consider a mathematical model of a welded joint of plane structural elements with rectilinear seams. These joints are simulated by a plane layer with rectilinear seam with residual stresses. Using the method of direct integration of key equations without additional potential functions, we obtain expressions for components of the stress tensor for a set of given inconsistent residual strains localized in the weld. We investigate the influence of residual stresses on the static strength of this welded joint with sharp defects simulated by external surface cracks. Using a twoparameter criterion for brittle-ductile fracture, we calculate the load factors for a welded joint with a crack in the weld.Welded joints with rectilinear seams are widely used in various elements of welded structures. Among them are plate-like structural elements, pipes, in particular, main pipelines, etc. The negative influence of nonrelaxed residual stresses on strength and load-carrying ability of welded structures, especially in the presence of sharp concentrators, is well known. Locality of residual plastic strains causes, in the general case, a triaxial stressed state of structural elements in the zone of the weld. To estimate this state, it is necessary to solve a three-dimensional problem. In the process of long-term operation and in the manufacture of structures, various sharp defects can appear in zones of welded joints, which are usually simulated by cracks. Analysis of the results of investigation presented in domestic works (see, e.g., [4]) shows that, in zones of axial (longitudinal) welds in cylindrical pipes (main pipelines), the distribution of welding stresses slightly differs from an analogous distribution in plates, i.e., in this case, the effect of curvature of a pipe is insignificant. In the general case, this distribution is triaxial. For its analysis in zones of welds, we use a mathematical model of a plane layer with rectilinear seam. For structures in long-term operation, a calculated-experimental method is used. The method is based on mathematical models of bodies with residual stresses and inverse problems with the use of experimental data. The essence of the method is presented, e.g., in [3,5,8,9]. In [7], based on this method, the strength of a part of the pipeline with a circumferential crack in a weld is considered. In the case where the circumferential crack lies outside the weld and a part of the pipeline is subjected to the action of torques, the process of propagation of the crack in linear and nonlinear cases is investigated in [14] on the basis of finite-element analysis. Calculated-Experimental Determination of Residual Stresses in Joints with WeldConsider an infinite plane layer of thickness 2h in the Cartesian coordinate system X 1 , X 2 , X 3 . We introduce the dimensional coordinates system x = X 1 /h, y = X 2 /h , z = X 3 /h , with axis y directed along the

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Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending

Cited by 18 publications

References 11 publications

Surface Crack Growth in Offshore Metallic Pipes under Cyclic Loads: A Literature Review

Surface Crack Growth in Offshore Metallic Pipes under Cyclic Loads: A Literature Review

Strain Concentration in Apices of Radial Cracks in a Thin Coated Pipe Wall

Determination of the triaxial distribution of residual stresses in welded joints of structural elements with rectilinear seams and estimation of their influence on joint strength in the presence of crack-type defects

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