Stressed State of a Shell of Double Curvature with Two Collinear Cracks Under Bending

Dovbnya, K. M.; Hryhorchuk, Yu. V.

doi:10.1007/s10958-015-2651-7

Cited by 7 publications

(5 citation statements)

References 2 publications

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“…we obtained the correlation: 2) we can reach a solution to the problem of the plate bending with cracks not adjusted for the contact of their edges [1,6]. In particular cases = 0 and = /2 we obtain known solutions respectively for collinear [13] and parallel [11] contact cracks, and at = 0-the analytical solution to the closure of an isolated rectilinear crack problem [9,12,20].…”

Section: Asymptotic Problem Solutionmentioning

confidence: 99%

“…Shatsky [11] was the first to investigate the cracks closure effect in the simultaneous extension and bending of a plate. As to the problem of reciprocal influence of contact cracks, the most studied cases are those of collinear defects in plates [12][13][14][15] and shells [16][17][18][19][20]. The periodical problems for parallel defects were obtained, taking into account crack closure in infinite [21] and half-infinite [22] plates.…”

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confidence: 99%

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Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure

Dalyak

2019

Theor appl mech (Belgr)

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The problem of interaction of two parallel shifted cracks in plate bending is considered. The cracks closure has been investigated in the classical two-dimensional statement, using the model of smooth contact along a line. The influence of the relative position of cracks and of the contact of their edges on the forces and moment intensity factors has been studied by the singular integral equations method.

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Section: Asymptotic Problem Solutionmentioning

confidence: 99%

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confidence: 99%

Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure

Dalyak

2019

Theor appl mech (Belgr)

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“…Methods of studying the stress state and structural integrity of shells damaged by closable crack-like defects were developed in papers [34,35]. The interference of collinear cracks in pipe material, considering the phenomenon of surface contact during bending, is studied in publications [36,37]. The authors [38] studied the damage behavior in thin elastic shells under conditions of simultaneous stretching and bending.…”

Section: Introductionmentioning

confidence: 99%

Analytical Model of Interaction of an Oil Pipeline with a Support of an Overpass Built in a Mountainous Area

et al. 2023

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Today, pipelines are the safest and most economical way to transport petroleum products and one of the key components of modern energy infrastructure. Nevertheless, pipeline systems are associated with certain risks that can lead to environmental disasters. The idea of carrying out this study was initiated by the results of the survey of the overpasses of the long-used oil pipelines laid in the mountainous area of the Carpathian region. Defects such as a change in the shape of the pipe and local bulges in the area of oil pipeline support nodes were detected. The explanation of the described problem is separate from the typical algorithms of design calculations, which are offered to manufacturers by current directive documents. The desire to provide an explanation and quantitative assessment of the detected defects became the main motivation for writing the article. An analytical model of the interaction of the oil pipeline with the rigid support has been developed. Additional internal loads in the cross-section of the pipe and displacement of its middle surface, which arise as a result of such interaction, are determined. The method of determining the reaction in the intermediate support of the overpass of the oil pipeline has been developed, considering the properties of the soil base in the underground sections and the mounting gap in the support node. The analytical dependence was obtained to determine the additional hoop stresses that arise in the oil pipeline due to the contact of the pipe with the support. The unambiguous relationship between the maximum additional hoop stress and the reaction in the support node was established. The dependence of additional hoop stresses on the geometric characteristics of the pipes was analyzed. The obtained research results are tested on the real structure of the overpass of the Druzhba oil pipeline, built in the Carpathians. In general, a simple engineering technique has been developed that allows analyzing the behavior of the oil pipeline support node and provides the numerical correction to the traditional strength assessment formulas, which determine the equivalent stresses in the oil pipeline.

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“…This approach was developed by Shatskii (1989), Shatsky (1998), Liu et al (1999), Shat'skyi and Perepichka (2004), Shats'kyi and Makoviichuk (2005), Shatskyi et al (2017) to study the behavior of closable cracks under combined tension and bending. Certain problems for arrays of rectilinear contact cracks in plates and shells have been solved in the papers by Shatskii (1990Shatskii ( , 1991, Shatsky (1998), Perepichka (1998), Shats'kyi and Dalyak (2000), Perepichka and Shats'kyi (2002), Dalyak (2004Dalyak ( , 2019, Opanasovych and Selivestrov (2006), Opanasovych et al (2008), Shats'kyi and Makoviichuk (2009), Shatskii and Makoviichuk (2011), Syasky and Muzychuk (2012), Dovbnya and Shevtsova (2014), Shats'kyi (2015), Dovbnya and Hryhorchuk (2016), Opanasovych and Slobodyan (2018). In the article by Shats'kyi and Dalyak (2002), the elastic equilibrium of the bent plate containing the rectilinear cracks, connected with coaxial slits, was addressed.…”

Section: Introductionmentioning

confidence: 99%

Interference of Closable Cracks and Narrow Slits in an Elastic Plate Under Bending

Dalyak¹,

Shatskyi²

2020

JSSCM

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The problem of bending of an infinite plate containing an array of trough closable cracks and narrow slits is considered in a two-dimensional statement. A crack is treated as a mathematical cut, the edges of which are able to contact along the line on the plate outside. A slit is referred to as a cut with contact stress-free surfaces and the negative jump of normal displacement can occur on this cut. The crack closure caused by bending deformation was studied based on the classical hypothesis of direct normal and previously developed model of the contact of edges along the line. A new boundary problem for a couple of biharmonic equations of plane stress and plate bending with interconnected boundary conditions in the form of inequalities on the cuts is formulated. The method of singular integral equations was applied in order to develop approximate analytical and numerical solutions to the problem. The forces and moments intensity factors near the peaks of defects and contact reaction on the closed edges of the cracks are calculated. A detailed analysis was carried out for parallel rectilinear crack and slit, depending on their relative location. Presented results demonstrate qualitative differences in the stress concentration near the defects of different nature.

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Stressed State of a Shell of Double Curvature with Two Collinear Cracks Under Bending

Cited by 7 publications

References 2 publications

Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure

Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure

Analytical Model of Interaction of an Oil Pipeline with a Support of an Overpass Built in a Mountainous Area

Interference of Closable Cracks and Narrow Slits in an Elastic Plate Under Bending

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