Limit load carrying capacity for spherical laminated shells under external pressure

1993 ◽  
Vol 25 (1-4) ◽  
pp. 295-303 ◽  
Author(s):  
A. Muc ◽  
J. Ryś ◽  
W. Latas
Keyword(s):  
Carrying Capacity ◽  
Limit Load ◽  
External Pressure ◽  
Load Carrying Capacity ◽  
Laminated Shells ◽  
Load Carrying

Development of Z-Factor for Circumferential Part-Through Surface Cracks in Dissimilar Metal Welds

2008 ◽  
Author(s):  
D.-J. Shim ◽  
G. M. Wilkowski ◽  
D. L. Rudland ◽  
F. W. Brust ◽  
Kazuo Ogawa
Keyword(s):  
Correction Factor ◽  
Carrying Capacity ◽  
Limit Load ◽  
Maximum Load ◽  
Load Carrying Capacity ◽  
Surface Cracks ◽  
Crack Driving Force ◽  
Dissimilar Metal ◽  
Load Carrying ◽  
J Estimation

Section XI of the ASME Code allows the users to conduct flaw evaluation analyses by using limit-load equations with a simple correction factor to account elastic-plastic fracture conditions. This correction factor is called a Z-factor, and is simply the ratio of the limit-load to elastic-plastic fracture mechanics (EPFM) maximum-load predictions for a flaw in a pipe. The past ASME Section XI Z-factors were based on a circumferential through-wall crack in a pipe rather than a surface crack. Past analyses and pipe tests with circumferential through-wall cracks in monolithic welds showed that the simplified EPFM analyses (called J-estimation schemes) could give good predictions by using the toughness, i.e., J-R curve, of the weld metal and the strength of the base metal. The determination of the Z-factor for a dissimilar metal weld (DMW) is more complicated because of the different strength base metals on either side of the weld. This strength difference can affect the maximum load-carrying capacity of the flawed pipe by more than the weld toughness. Recent work by the authors for circumferential through-wall cracks in DMWs has shown that an equivalent stress-strain curve is needed in order for the typical J-estimation schemes to correctly predict the load carrying capacity in a cracked DMW. In this paper, the Z-factors for circumferential surface cracks in DMW were determined. For this purpose, a material property correction factor was determined by comparing the crack driving force calculated from the J-estimation schemes to detailed finite element (FE) analyses. The effect of crack size and pipe geometry on the material correction factor was investigated. Using the determined crack-driving force and the appropriate toughness of the weld metal, the Z-factors were calculated for various crack sizes and pipe geometries. In these calculations, a ‘reference’ limit-load was determined by using the lower strength base metal flow stress. Furthermore, the effect of J-R curve on the Z-factor was investigated. Finally, the Z-factors developed in the present work were compared to those developed earlier for through-wall cracks in DMWs.

THE ABILITY OF NANOCOMPOSITE CARBON COATINGS TO WITHSTAND FRICTION UNDER SEVERE CONDITIONS

Tribologia ◽  
2019 ◽  
Vol 287 (5) ◽  
pp. 115-124
Author(s):  
Sławomir ZIMOWSKI ◽  
Marcin KOT ◽  
Grzegorz WIĄZANIA ◽  
Tomasz MOSKALEWICZ
Keyword(s):  
Carrying Capacity ◽  
Steel Substrate ◽  
Point Contact ◽  
Limit Load ◽  
Scratch Test ◽  
Load Carrying Capacity ◽  
Indentation Method ◽  
Wear Process ◽  
Tribological Tests ◽  
Load Carrying

The paper presents an analysis of the micromechanical properties of selected thin, hard anti-wear coatings of the type nc-TiN/a-C and nc-TiC/a-C, which were deposited by magnetron sputtering on a steel substrate. The load carrying capacity of the nanocomposite coatings was analysed in point contact with the use of indentation method, a scratch test, and friction test in contact with a ceramic ball. The hardness and modulus of elasticity of the coatings were determined by an instrumented indentation method using a Vickers indenter. The coating adhesion to the substrate was examined in a scratch test. Tribological tests in sliding contact with an Al2O3 ball were made at various loads to determine the limit load in which normal friction occurs. The results of tribological tests were compared with the resistance to plastic deformation index (H3/E2). It was found that the basic micromechanical parameters of coatings provide important information concerning durability and load carrying capacity. However, while predicting wear, it is also important to investigate the nature of the wear process during friction. The wear nature of the nc-TiN/a-C and nc-TiC/a-C coatings depends on the load value and the number of forced loads.

Determination of Limit Load Solution for the Remaining Load-Carrying Capacity of Corroded Pipelines

2016 ◽  
Vol 138 (5) ◽  
Author(s):  
Mechri Abdel Ghani ◽  
Ghomari Tewfik ◽  
Djouadi Djahida
Keyword(s):  
Carrying Capacity ◽  
High Strength ◽  
Limit Load ◽  
Plastic Instability ◽  
Instability Criterion ◽  
Burst Pressure ◽  
Average Error ◽  
Strain Hardening Exponent ◽  
Load Carrying Capacity ◽  
Load Carrying

The evaluation of pipelines having external corrosion defect and their remaining load-carrying capacity is a concern which becomes important in energy industry, especially with the increasing operating pressures and the consequences which can occur following the bursting of these pipelines. A lower bound analytical solution for the prediction of the burst pressure of pipelines is proposed. This solution is based on the approach of plastic-instability criterion in terms of material strain-hardening exponent of internally pressurized corroded pipelines. The suggested solution is evaluated by using database comprising more than 100 carried out tests of pipelines with or without corrosion defects. This database is collected from the literature and covers the majority of steel materials as well as the various standard sizes. The accuracy of the proposed solution is compared with B31.G method and its improved version B31.G Mod by using statistical analyses in terms of average error and its correspondent standard deviation. The proposed solution is accurate than B31.G and modified B31.G methods that are conservative and provide in some cases of middle and high strength material an overestimated burst pressure predictions.

Limit Load Analysis of Cylindrical Vessels Under Internal Pressure and Axial Strain

2011 ◽  
Author(s):  
Xian-Kui Zhu
Keyword(s):  
Internal Pressure ◽  
Carrying Capacity ◽  
Pressure Vessel ◽  
Axial Strain ◽  
Limit State ◽  
Limit Load ◽  
Operating Pressure ◽  
Load Carrying Capacity ◽  
Load Carrying ◽  
Load Analysis

Strain-based design is a newer technology used in safety design and integrity management of oil and gas pipelines. In a traditional stress-based design, the axial stress is relatively small compared to the hoop stress generated by internal pressure in a line pipe, and the limit state in the pipeline is usually load-controlled. In a strain-based design, however, axial strain can be large and the load-carrying capacity of pipelines could be reduced significantly below an allowed operating pressure, where the limit state is controlled by an axial strain. In this case, the limit load analysis is of great importance. The present paper confirms that the stress, strain and load-carrying capacity of a thin-walled cylindrical pressure vessel with an axial force are equivalent those of a long pressurized pipeline with an axial tensile strain. Elastic stresses and strains in a pressure vessel are then investigated, and the limit stress, limit strain and limit pressure are obtained in terms of the classical Tresca criterion, von Mises criteria, and a newly proposed average shear stress yield criterion. The results of limit load solutions are analyzed and validated using typical experimental data at plastic yield.

Effect of joint stiffness and size on stability of three-way single-layer cylindrical reticular shell

2020 ◽  
Vol 35 (3) ◽  
pp. 90-107
Author(s):  
Hui-jun Li ◽  
Yoshiya Taniguchi
Keyword(s):  
Carrying Capacity ◽  
Joint Stiffness ◽  
Single Layer ◽  
Shear Stiffness ◽  
Limit Load ◽  
Torsional Stiffness ◽  
Axial Stiffness ◽  
Load Carrying Capacity ◽  
Load Carrying ◽  
Joint Shear

The main aim of the present article is to study the effect of joint stiffness and joint size on load-carrying capacity of single-layer cylindrical reticular shell. One normalized joint bending stiffness index κb and three proposed normalized indexes, that is, normalized joint axial stiffness κa, normalized joint shear stiffness κs, and normalized joint torsional stiffness κt, are used to evaluate the stiffness of joint. Through a large number of numerical computations, the main conclusions are summarized as follows: κb has a significant effect on limit load of reticular shell, and this effect has a close relationship to rise-to-span ratio of reticular shell. If κb is larger than 30, the joint can be treated as rigid joint. The relationship between the logarithm of κb and limit load of reticular shell can be expressed by the logistic formulation. Overall rigidity and load-carrying capacity of reticular shell are greatly influenced by joint axial stiffness. If κa is larger than 30, the effect of joint axial stiffness on load-carrying capacity of reticular shell is no longer obvious. Otherwise, the load-carrying capacity will be markedly reduced. The relation between the logarithm of κa and limit load of reticular shell can be fitted by the Dose–response formulation. The load-carrying capacity of reticular shell is also influenced by joint torsional stiffness and joint shear stiffness to some extent. The relation between the logarithm of κs and limit load can be fitted by the Asymptotic formulation. The effect of joint size on overall rigidity and limit load of reticular shell is evident and cannot be neglected. The limit load gradually decreases with the decrease in joint size, and there is an approximate linear relationship between limit load and joint size.

Buckling of Barreled Shells Subjected to External Hydrostatic Pressure

2000 ◽  
Vol 123 (2) ◽  
pp. 232-239 ◽  
Author(s):  
J. Błachut ◽  
P. Wang
Keyword(s):  
Carrying Capacity ◽  
Ultimate Load ◽  
Load Capacity ◽  
External Pressure ◽  
Load Carrying Capacity ◽  
External Hydrostatic Pressure ◽  
Buckling Loads ◽  
Load Carrying ◽  
Initial Geometric Imperfections ◽  
Steel Cylindrical Shell

The paper considers barreling of a mild steel cylindrical shell as a way of improving its load carrying capacity when subjected to static external pressure. Numerical results show that the load carrying capacity can be increased from 1.4 to 40 times above the load capacity of mass equivalent cylinders. The effect of end boundary conditions on the ultimate load is examined together with sensitivity of buckling loads to initial geometric imperfections.

An Assessment on the Plastic Capacity of Pipe-in-Pipe Systems Under Damage Progression Effect

2021 ◽  
Vol 88 (4) ◽  
Author(s):  
Farhad Davaripour ◽  
Bruce W.T. Quinton ◽  
Kenton Pike
Keyword(s):  
Carrying Capacity ◽  
Phase 1 ◽  
Lateral Load ◽  
External Pressure ◽  
Combined Loading ◽  
Load Carrying Capacity ◽  
Plastic Damage ◽  
Damage Progression ◽  
Structural Resistance ◽  
Load Carrying

Abstract In recent years, pipe-in-pipe (PiP) systems have been employed in an increasing number of subsea projects. According to the previous studies, the external pressure required to develop the initial local buckle on the PiP system is significantly higher than the pressure required to propagate the buckle along the system. In this respect, it is reasonable to investigate a novel topic where the propagation of buckle is induced by a lateral interference load instead of external pressure (e.g., diagonal fishing gear impact). On this subject, the recent studies showed the progression of plastic damage along a single-walled pipe, which is induced by a lateral load, could significantly lower the load-carrying capacity of the pipe. The present study investigates this finding for a PiP solution under a two-phase loading condition: in phase 1, the PiP solution is subject to 75 mm perpendicular indentation, and in phase 2, the resulting plastic damage in phase 1 is translated and induced longitudinally along with the PiP system. Furthermore, using finite element analyses, the effect of combined loading (axial and lateral load) on the load-carrying capacity of the PiP specimen is investigated. The test results show that upon the initiation of damage progression, the load-carrying capacity of the PiP specimen (against the lateral indentation) declines by 10%. Also, the numerical results show that the structural resistance of a PiP specimen against a lateral indentation drops significantly when the inner pipe is subject to axial compression.

Collapse Tests on Externally Pressurized Toroids

2003 ◽  
Vol 125 (1) ◽  
pp. 91-96 ◽  
Author(s):  
J. Błachut
Keyword(s):  
Mild Steel ◽  
Cross Section ◽  
Carrying Capacity ◽  
Circular Cross Section ◽  
External Pressure ◽  
Outer Diameter ◽  
Load Carrying Capacity ◽  
The Third ◽  
Load Carrying ◽  
Toroidal Shells

The paper discusses the load-carrying capacity of toroidal shells with closed circular cross section and loaded by static external pressure. Details about the manufacturing, pre-experiment measurements and testing of three, nominally different, steel toroids are provided. Two of them were manufactured from mild steel by spinning two halves and then welding them around the inner and outer equatorial perimeters. The third one has been assembled by welding four 90-deg stainless elbows. The outer diameter of these models was about 300 mm and the wall thickness varied from 2.0 to 3.0 mm. The hoop radius-to-thickness ratio, r/t, varied from about 15 to 30. The experimental collapse pressures were in the range from 4 to 8 MPa. Comparisons with numerical results are also provided.

Buckling of Corroded Torispherical Shells Under External Pressure

2018 ◽  
Author(s):  
J. Błachut
Keyword(s):  
Carrying Capacity ◽  
External Pressure ◽  
Collapse Mechanism ◽  
Load Carrying Capacity ◽  
Collapse Pressure ◽  
Buckling Strength ◽  
Wall Thinning ◽  
Strength Based ◽  
Load Carrying ◽  
Bifurcation Buckling

The current paper examines the effects of corrosion induced wall thinning on buckling of domed closures onto cylindrical vessels. It is assumed that corrosion is axisymmetric and that the wall is corroded on inside, only. The ratio of corroded wall thickness, tc, to the non-corroded thickness, t, is varied between 0.10 ≤ tc/t ≤ 1.0. Both depth of corrosion and its meridional extend are varied during numerical calculations. Three modelling scenarios for placement of corrosion are considered: (i) corrosion confined to the knuckle, (ii) corrosion spanning evenly the knuckle and spherical parts, and (iii) patchtype area positioned at the apex. Numerical results indicate that the following factors influence buckling performance of the dome: (i) meridional position of corroded area, (ii) depth of corrosion itself, and (iii) meridional span of corroded wall. For example, wall thinning of 10 % over 10 % of meridional length causes almost 20 % drop in buckling strength. The largest drop of load carrying capacity is found when the corroded wall is at the knuckle/crown junction. Here it is shown that assessment of strength based on the collapse mechanism is not only wrong but dangerous. For the case of the corroded dome, the collapse pressure overestimates the load carrying capacity associated with asymmetric bifurcation buckling by 40 %.

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