A Plastic Load Criterion for Inelastic Design by Analysis

Mackenzie, Donald; Li, Hongjun

doi:10.1115/1.2137768

Cited by 20 publications

(5 citation statements)

References 3 publications

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“…The The thicker heads, Heads 1 and 2, have a relatively simple form of load-plastic work curvature plot, with a single peak in the curve indicating the formation of the gross plastic deformation mechanism. On previous investigations of the PWC criterion [13,14], it was proposed that the plastic load was indicated when the PWC decreased to zero or a small approximately constant value. In the thick heads, the PWC initially decreased rapidly from the maximum but the eventual decrease to a zero or near zero exhibited a long decay.…”

Section: Discussionmentioning

confidence: 99%

Gross Plastic Deformation of Axisymmetric Pressure Vessel Heads

Camilleri¹,

Hamilton²,

Mackenzie³

2006

The Journal of Strain Analysis for Engineering Design

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The gross plastic deformation and associated plastic loads of four axisymmetric torispherical pressure vessels are determined by two criteria of plastic collapse: the ASME twice elastic slope (TES) criterion and the recently proposed plastic work curvature (PWC) criterion. Finite element analysis was performed assuming small and large deformation theory and elastic-perfectly plastic and bilinear kinematic hardening material models. Two plastic collapse modes are identified: bending-dominated plastic collapse of the knuckle region in small deformation models and membrane-dominated plastic collapse of the cylinder or domed end in large deformation models. In both circumstances, the PWC criterion indicates that a plastic hinge bending mechanism leads to gross plastic deformation and is used as a parameter to identify the respective plastic loads. The results of the analyses also show that the PWC criterion leads to higher design loads for strain hardening structures than the TES criterion, as it takes account of the effect of strain hardening on the evolution of the gross plastic deformation mechanism.

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Section: Discussionmentioning

confidence: 99%

Gross Plastic Deformation of Axisymmetric Pressure Vessel Heads

Camilleri¹,

Hamilton²,

Mackenzie³

2006

The Journal of Strain Analysis for Engineering Design

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“…The criterion applies a geometric construction to define the GPD load. A more detailed investigation of the transition from elastic to gross plastic response was presented by Li & Mackenzie [10,11], in which it was proposed that the curvature of the characteristic load-plastic work curve could be used to define the GPD load, as illustrated in Figure 2a. In the plot, the PWC is normalised with respect to the maximum value of PWC calculated in the analysis.…”

Section: Plastic Work Curvature Criterionmentioning

confidence: 99%

Design by analysis of ductile failure and buckling in torispherical pressure vessel heads

Mackenzie

Camilleri

Hamilton

2008

Thin-Walled Structures

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This version is available at https://strathprints.strath.ac.uk/7495/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Abstract:Thin shell torispherical pressure vessel heads are known to exhibit complex elasticplastic deformation and buckling behaviour under static pressure. In pressure vessel Design by Analysis, the designer is required to assess both of these behaviour modes when specifying the allowable static load. The EN and ASME Boiler and Pressure Vessel Codes permit the use of inelastic analysis in design by analysis, known as the direct route in the EN Code. In this paper, plastic collapse or gross plastic deformation loads are evaluated for two sample torispherical heads by 2D and 3D FEA based on an elastic-perfectly plastic material model. Small and large deformation effects are considered in the 2D analyses and the effect of geometry and load perturbation are considered in the 3D analysis. The plastic load is determined by applying the ASME Twice Elastic Slope Criterion of plastic collapse and an alternative plastic criterion, the Plastic Work Curvature criterion. The formation of the gross plastic deformation mechanism in the models is considered in relation to the elastic-plastic buckling response of the vessels. It is concluded that in both cases, design is limited by formation of an axisymmetric gross plastic deformation in the knuckle of the vessels prior to formation of non-axisymmetric buckling modes.

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“…ASME Section VIII describes the determination of the experimental plastic limit load. Mackenzie [4], in his paper, mentions that the determination of the plastic limit load is known as the Twice-Elastic-Slope (TES) method or the Double Elastic Slope Method. In order to confirm the effectiveness of determining the plastic limit load using the finite element method, Sang et al [5] conducted a comparative study to compare the results of the plastic limit load with the ASME experimental method and the finite element simulation method.…”

Section: Introductionmentioning

confidence: 99%

“…There are times when the loading that occurs is an in-plane bending moment. Mackenzie [4], in his research, showed that the out-of-plane bending moment provides a lower plastic limit load than the inplane bending moment. However, in his study, Mackenzie [4] only used the finite element method on cantilever rods with bending moment loads.…”

Section: Introductionmentioning

confidence: 99%

Effect of Pad Thickness and Width Variations on Plastic Limit Moment in Cylindrical Pressure Vessels Due to Nozzle In-Plane Load

Nurdin,

Sriwijaya

2024

J. Phys.: Conf. Ser.

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This study investigates how different pad thicknesses and diameters affect the maximum stress a cylindrical pressure vessel can handle without failing, particularly around the areas where nozzles are attached. Nozzles on these vessels often face directional stress from loads applied in a specific plane, and these stresses mustn’t push the nozzle material beyond its breaking point. The research used computer simulations to see how these vessels, with various pad sizes and a set shell and nozzle size, behave under increasing stress until they reach their breaking point. Findings indicate that making the pad thicker or wider increases the vessel’s resistance to breaking up to a certain point; beyond this optimal size, making the pad larger doesn’t provide any additional benefit. This information helps design better and safer pressure vessels by identifying the best pad size to prevent failure. The study contributes to understanding how to avoid design issues and optimize the construction of these vessels, adhering to specific industry standards.

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A Plastic Load Criterion for Inelastic Design by Analysis

Abstract: Background. The allowable plastic load in pressure vessel Design by Analysis is determined by applying a

Cited by 20 publications

References 3 publications

Gross Plastic Deformation of Axisymmetric Pressure Vessel Heads

Gross Plastic Deformation of Axisymmetric Pressure Vessel Heads

Design by analysis of ductile failure and buckling in torispherical pressure vessel heads

Effect of Pad Thickness and Width Variations on Plastic Limit Moment in Cylindrical Pressure Vessels Due to Nozzle In-Plane Load

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