Plastic Collapse of ASME Ellipsoidal Head Pressure Vessels

1970 ◽  
Vol 92 (4) ◽  
pp. 797-804 ◽  
Author(s):  
J. C. Gerdeen ◽  
D. N. Hutula
Keyword(s):  
Large Range ◽  
Yield Criterion ◽  
Semimajor Axis ◽  
Pressure Vessels ◽  
Plastic Collapse ◽  
Axis Ratio ◽  
Collapse Pressure ◽  
Pressure Limit ◽  
Head Pressure ◽  
Von Mises

Plastic collapse of ellipsoidal head pressure vessels is considered. The heads have an inside semimajor axis to semiminor axis ratio of 2:1. Diameter to thickness ratios (D/t) vary from 20–2000. Calculations are performed based upon the von Mises yield criterion. Previous results based upon the Tresca yield criterion are included for comparison. The combined results give reasonably close bounds on the plastic collapse pressure (limit pressure) over the large range of D/t.

Stress Concentration and Stress Intensity for Pressurized Eroded Autofrettaged Thick Cylinders With Bauschinger Effect

2010 ◽  
Author(s):  
Q. Ma ◽  
C. Levy ◽  
M. Perl
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Bauschinger Effect ◽  
Thermal Loading ◽  
Yield Criterion ◽  
Pressure Vessels ◽  
Short Cracks ◽  
Finite Element Package ◽  
Von Mises ◽  
Walled Cylinder

Our previous studies have shown that stress intensity factors (SIFs) are influenced considerably from the presence of the Bauschinger Effect (BE) in thick-walled pressurized cracked cylinders. For some types of pressure vessels, such as gun barrels, working in corrosive environment, in addition to acute temperature gradients and repetitive high-pressure impulses, erosions can be practically induced. Those erosions cause stress concentration at the bore, where cracks can readily initiate and propagate. In this study, The BE on the SIFs will be investigated for a crack emanating from an erosion’s deepest point in a multiply eroded autofrettaged, pressurized thick-walled cylinder. A commercial finite element package, ANSYS, was employed to perform this type of analysis. A two-dimensional model, analogous to the authors’ previous studies, has been adopted for this new investigation. Autofrettage with and without BE, based on von Mises yield criterion, is simulated by thermal loading and the SIFs are determined by the nodal displacement method. The SIFs are evaluated for a variety of relative crack lengths, a0/t = 0.01–0.45 emanating from the tip of the erosion of different geometries including (a) semi-circular erosions of relative depths of 1–10 percent of the cylinder’s wall thickness, t; (b) arc erosions for several dimensionless radii of curvature, r′/t = 0.05–0.4; and (c) semi-elliptical erosions with ellipticities of d/h = 0.5–1.5, and erosion span angle, α, from 6 deg to 360 deg. The effective SIFs for relatively short cracks are found to be increased by the presence of the erosion and further increased due to the BE, which may result in a significant decrease in the vessel’s fatigue life. Deep cracks are found to be almost unaffected by the erosion, but are considerably affected by BE.

Yield Pressure Measurements and Analysis for Autofrettaged Cannons

2002 ◽  
Author(s):  
John H. Underwood ◽  
David B. Moak ◽  
Michael A. Audino ◽  
Anthony P. Parker
Keyword(s):  
Residual Stress ◽  
Yield Strength ◽  
Yield Criterion ◽  
Axial Stress ◽  
Design Procedure ◽  
Pressure Vessels ◽  
Pressure Measurements ◽  
Strain Rate Effects ◽  
Axial Residual Stress ◽  
Von Mises

Yield pressure corresponding to a small permanent OD strain was measured in quasi-static laboratory tests of autofrettaged ASTM A723 steel cannon pressure vessels. Yield pressure was found to be a consistent ratio of the yield strength measured from specimens located in close proximity to the area of observed yielding. Yield pressure measurements for dynamic cannon firing with typically a 5 ms pressure pulse duration gave 14% higher yield pressures, attributed to strain rate effects on plastic deformation. Calculated Von Mises yield pressure for the laboratory test conditions, including the Bauschinger-modified ID residual stress and open-end vessel conditions, agreed with measured yield pressure within 3–5%. Calculated yield pressure was found to be insensitive to the value of axial residual stress, since axial stress is the intermediate value in the Von Mises yield criterion. A description of yield pressure normalized by yield strength was given for autofrettaged A723 open-end pressure vessels over a range of wall ratio and degree of autofrettage, including effects of Bauschinger-modified residual stress. This description of yield pressure is proposed as a design procedure for cannons and other pressure vessels.

Yield Pressure Measurements and Analysis for Autofrettaged Cannons

2003 ◽  
Vol 125 (1) ◽  
pp. 7-10 ◽  
Author(s):  
John H. Underwood ◽  
David B. Moak ◽  
Michael J. Audino ◽  
Anthony P. Parker
Keyword(s):  
Residual Stress ◽  
Yield Strength ◽  
Yield Criterion ◽  
Axial Stress ◽  
Design Procedure ◽  
Pressure Vessels ◽  
Pressure Measurements ◽  
Strain Rate Effects ◽  
Axial Residual Stress ◽  
Von Mises

Yield pressure corresponding to a small permanent OD strain was measured in quasi-static laboratory tests of autofrettaged ASTM A723 steel cannon pressure vessels. Yield pressure was found to be a consistent ratio of the yield strength measured from specimens located in close proximity to the area of observed yielding. Yield pressure measurements for dynamic cannon firing with typically a 5-ms pressure pulse duration gave 14% higher yield pressures, attributed to strain rate effects on plastic deformation. Calculated Von Mises yield pressure for the laboratory test conditions, including the Bauschinger-modified ID residual stress and open-end vessel conditions, agreed with measured yield pressure within 3–5%. Calculated yield pressure was found to be insensitive to the value of axial residual stress, since axial stress is the intermediate value in the Von Mises yield criterion. A description of yield pressure normalized by yield strength was given for autofrettaged A723 open-end pressure vessels over a range of wall ratio and degree of autofrettage, including effects of Bauschinger-modified residual stress. This description of yield pressure is proposed as a design procedure for cannons and other pressure vessels.

Estimation of the Stresses in Rotational Autofrettage of Thick-Walled Pressure Vessels Using von Mises Yield Criterion

2021 ◽  
Author(s):  
S. M. Kamal ◽  
Faruque Aziz
Keyword(s):  
Plane Strain ◽  
Yield Criterion ◽  
Pressure Vessels ◽  
Flow Rule ◽  
Stress Distributions ◽  
Von Mises Yield Criterion ◽  
Potential Methods ◽  
Von Mises ◽  
Associated Flow Rule ◽  
Theoretical Analyses

Abstract Rotational autofrettage is one of the recently proposed potential methods for eliminating the in-service yielding of thick-walled cylindrical pressure vessels. A few researchers have studied the feasibility of the process theoretically, and asserted certain advantages over the practicing hydraulic and swage autofrettage processes. In the literature, all theoretical analyses on the rotational autofrettage are based on the Tresca yield criterion and its associated flow rule, along with the assumption of different plane end conditions (plane strain and generalized plane strain). In this paper, an analysis of the rotational autofrettage of cylindrical vessel is attempted incorporating von Mises yield criterion. The plane strain condition is used for the analysis. A numerical shooting method is used to solve the governing differential equations providing the elastic-plastic stress distributions in the cylinder during loading. The present procedure is numerically experimented for a typical AH36 pressure vessel. It is found that the achievable level of the maximum stress pressure of the rotationally autofrettaged vessel is 74.46% higher than that of its non-autofrettaged counterpart for an overstrain level of 46.7%.

Model Error Assessment of Burst Capacity Models for Defect-Free Pipes

2012 ◽  
Author(s):  
W. Zhou ◽  
G. (Terry) Huang
Keyword(s):  
Structural Reliability ◽  
Prediction Models ◽  
Yield Criterion ◽  
Limit State ◽  
Model Error ◽  
Pressure Vessels ◽  
Strain Hardening Exponent ◽  
Model Errors ◽  
Reliability Based Design ◽  
Von Mises

The model errors associated with 19 burst pressure prediction models for defect-free thin-walled pipes are evaluated using a total of 76 full-scale burst test data of perfect pipes and pressure vessels collected from the literature. The considered models are based on the Tresca yield criterion, the von Mises yield criterion, or the average shear stress yield criterion. The probabilistic characteristics of the model error, i.e. the mean, coefficient of variation and best-fit probability distribution, are obtained based on the test-to-predicted ratios. The applicability of an empirical equation for estimating the strain hardening exponent in the burst capacity models is also evaluated. The model errors obtained in this study can be used in the structural reliability analysis of energy pipelines with respect to the limit state of burst of defect-free pipes and will facilitate the reliability-based design and assessment of pipelines.

Study on the Structural Safety Evaluation for Pressure Vessel of the CNG Vehicle Using F.E.M.

2012 ◽  
Vol 569 ◽  
pp. 598-602 ◽  
Author(s):  
Eui Soo Kim ◽  
Jong Hyuk Kim ◽  
Byung Sun Moon ◽  
Jae Mo Goh
Keyword(s):  
Pressure Vessel ◽  
Storage Tank ◽  
Safety Management ◽  
Yield Criterion ◽  
Safety Evaluation ◽  
Pressure Vessels ◽  
Structural Safety ◽  
Test Procedures ◽  
Design Variables ◽  
Von Mises

CNG vehicles have to be equipped with a safe and reliable storage tank, such as composite pressure vessels, since the failure of the CNG storage tank induces fatal damages to passengers. In this research, the cause of vessel facture is investigated through formal inspection and engineering test procedures. Specifically, the composite pressure vessel design will be validated using the finite element method. In order to validate values of the optimal design variables in accordance with standard of the high pressure gas safety management, we used safety probability such as Von-Mises yield criterion, Tsai-Hill theory and stress ratio.

The Impact of the Bauschinger Effect on Stress Concentrations and Stress Intensity Factors for Eroded Autofrettaged Thick Cylindrical Pressure Vessels

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Q. Ma ◽  
C. Levy ◽  
M. Perl
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Bauschinger Effect ◽  
Thermal Loading ◽  
Yield Criterion ◽  
Pressure Vessels ◽  
Intensity Factors ◽  
Stress Concentrations ◽  
Von Mises ◽  
The Impact

Our previous studies have shown that stress intensity factors (SIFs) are influenced considerably from the presence of the Bauschinger Effect (BE) in thick-walled pressurized cracked cylinders. For some types of pressure vessels, such as gun barrels, working in corrosive environment, in addition to acute temperature gradients and repetitive high-pressure impulses, erosions can be practically induced. Those erosions cause stress concentration at the bore, where cracks can readily initiate and propagate. In this study, the BE on the SIFs will be investigated for a crack emanating from an erosion’s deepest point in a multiply eroded autofrettaged, pressurized thick-walled cylinder. A commercial finite element package, ansys, was employed to perform this type of analysis. A two-dimensional model, analogous to the authors’ previous studies, has been adopted for this new investigation. Autofrettage with and without BE, based on von Mises yield criterion, is simulated by thermal loading and the SIFs are determined by the nodal displacement method. The SIFs are evaluated for a variety of relative crack lengths, a0/t = 0.01–0.45 emanating from the tip of the erosion of different geometries including (a) semicircular erosions of relative depths of 1%–10% of the cylinder’s wall thickness, t; (b) arc erosions for several dimensionless radii of curvature, r′/t = 0.05–0.4; and (c) semi-elliptical erosions with ellipticities of d/h = 0.5–1.5, and erosion span angle, α, from 6 deg to 360 deg. The effective SIFs for relatively short cracks are found to be increased by the presence of the erosion and further increased due to the BE, which may result in a significant decrease in the vessel’s fatigue life. Deep cracks are found to be almost unaffected by the erosion, but are considerably affected by BE.

Effect of temperature-dependent mechanical properties of plastic collapse of thin discs

2014 ◽  
Vol 228 (14) ◽  
pp. 2483-2487 ◽  
Author(s):  
Sergei Alexandrov ◽  
Yun-Che Wang ◽  
Sergey Aizikovich
Keyword(s):  
Mechanical Properties ◽  
Thermal Loading ◽  
Yield Criterion ◽  
Effect Of Temperature ◽  
Plastic Collapse ◽  
Temperature Dependency ◽  
Temperature Dependent ◽  
State Of Stress ◽  
Transcendental Equations ◽  
Von Mises

The von Mises yield criterion is combined with an equilibrium equation to provide a semi-analytical plastic collapse solution for a thin hollow disc inserted into a rigid container and subject to thermal loading. A numerical method is only necessary to sequentially solve several simple transcendental equations. The state of stress is plane and the temperature field is uniform. The main distinguished feature of the solution is that all basic thermo-mechanical properties are temperature-dependent. The objective of the paper is to show the effect of temperature-dependency of these properties on plastic collapse.

Loading and Unloading of Thick-Walled Cylindrical Pressure Vessels of Strain-Hardening Material

1994 ◽  
Vol 116 (2) ◽  
pp. 105-109 ◽  
Author(s):  
A. Loghman ◽  
M. A. Wahab
Keyword(s):  
Residual Stresses ◽  
Strain Hardening ◽  
Yield Criterion ◽  
Strain Curve ◽  
Pressure Vessels ◽  
Critical Conditions ◽  
Hardening Material ◽  
Wide Range ◽  
Reverse Yielding ◽  
Von Mises

A thick-walled closed-end cylinder of isotropic, homogeneous and strain-hardening material is considered in this study. Loading is assumed to consist of a temperature gradient as well as an internal pressure. Unloading is completely elastic without considering a Bauschinger effect. A generalized plane strain case in which the material obeys Von Mises yield criterion is studied. Using the yield criterion, critical conditions for a wide range of loading combinations and thickness ratios are investigated. After the critical condition is established, load is increased beyond the critical values and calculations are made for plastic stresses and strains and progress of plastic zone using an incremental theory of plasticity. Residual stresses are obtained as the cylinder is unloaded from a 25 and 50-percent overstrained condition. Reverse yielding is not considered while the residual stresses at the onset of reverse yielding are calculated. Loading function is assumed to follow the stress-strain curve of SUS 304 at a constant temperature of 400°C, which is selected from the experimental work of earlier researchers.

Elastic-Plastic Solutions for Open-End Thick Walled Cylinders Subjected to Internal and External Pressures

2008 ◽  
Author(s):  
R. D. Dixon ◽  
E. H. Perez
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Yield Criterion ◽  
External Pressure ◽  
Plastic Collapse ◽  
Elastic Instability ◽  
Element Analysis ◽  
Collapse Pressure ◽  
Elastic Plastic ◽  
External Pressures

Available theoretical solutions for the collapse pressure of open-end thick walled cylinders based on the Vo n Misses yield criterion are very limited. The known elastic-plastic theoretical solutions are primarily based on the Tresca yield criterion. So far, little study has been devoted to fairly thick open-end cylinders under external pressure. This can be performed by finite element analysis that considers material plasticity. In this paper the authors propose the use of simple formulae for the solution of the collapse internal and external pressures of open-end cylinders. The proposed formulae provide excellent agreement with finite element results obtained by the authors. Also criterion is provided for the interaction of elastic instability and plastic collapse of open-end cylinders subjected to external pressure.

Sign in / Sign up

Export Citation Format

Share Document