Investigation on the Plastic Buckling Paradox for Metal Cylinders

Book chapter


Shamass, R, Alfano, G and Guarracino, F (2018). Investigation on the Plastic Buckling Paradox for Metal Cylinders. in: Buckling and Postbuckling Structures II London South Bank University.
AuthorsShamass, R, Alfano, G and Guarracino, F
Abstract

© 2018 World Scientific Publishing Europe Ltd. This chapter investigates the so-called "plastic buckling paradox," which states that the deformation theory of plasticity tends to provide values of the buckling loads which are in better agreement with experimental results than those given by the flow theory of plasticity. The paradox lies in the fact that the latter is physically more sound because it assumes that the current stress depends not only on the current value of the total strain but also on how this strain value has been attained. Instead, the deformation theory of plasticity is based on the assumption that, at any point on the loading path, the stress is uniquely determined by the current state of strain only. The plastic buckling paradox has been observed in a wide range of shell structures, such as plate assemblies, torispherical domes and circular cylinders, under different loading conditions and using different boundary conditions. Among these, the problem of relatively thick cylindrical shell structures subject to either axial compression or combined axial tension and external pressure has attracted substantial interest due to its importance in engineering applications, which has led to a vast literature with many benchmark tests and results. The outcomes from recent studies by the authors are discussed in detail, and it is shown that, when an accurate and consistent FE model is set up, both the flow and deformation theories can predict buckling loads with acceptable plastic strains. In fact, contrary to the common belief, buckling pressures calculated numerically by means of the flow theory are found to be in better agreement with the experimental data. Analytical and semi-analytical formulations are also employed to shed light on the underlying causes of this apparent paradox.

Year2018
Book titleBuckling and Postbuckling Structures II
PublisherLondon South Bank University
Publication dates
Print01 Apr 2018
Publication process dates
Deposited20 Jul 2018
Accepted01 Apr 2018
Digital Object Identifier (DOI)doi:10.1142/9781786344335_0002
Journal citation9, pp. 37-63
Accepted author manuscript
License
CC BY 4.0
Permalink -

https://openresearch.lsbu.ac.uk/item/86v84

  • 1
    total views
  • 0
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Related outputs

Experimental Investigation on the Behaviour of Recycled Aggregate Concrete
Kovacs, R, Shamass, R, Limbachiya, V and Datoo, M (2019). Experimental Investigation on the Behaviour of Recycled Aggregate Concrete. 5th International Conference on Sustainable Construction Materials & Technologies. Surrey 14 - 17 Jul 2019
Analysis of concrete beams reinforced with stainless steel
Rabi, M, Cashell, KA and Shamass, R (2019). Analysis of concrete beams reinforced with stainless steel. fib Symposium 2019 - Concrete - Inovations in Materials, design and Structures. Krakow, Poland 27 - 29 May 2019 pp. 690-697
Analysis of Stainless Steel-Concrete Composite Beams
Shamass, R and Cashell, KA (2018). Analysis of Stainless Steel-Concrete Composite Beams. Journal of Constructional Steel Research.
Bending Moment Capacity of Stainless Steel-Concrete Composite Beams
Shamass, R and Cashell, KA (2018). Bending Moment Capacity of Stainless Steel-Concrete Composite Beams. 12th International Conference on Advances in Steel-Concrete Composite Structures (ASCCS 2018). Valencia-Spain 27 - 29 Jun 2018
A numerical investigation into the plastic buckling of circular cylinders
Shamass, R, Alfano, G and Guarracino, F (2013). A numerical investigation into the plastic buckling of circular cylinders. in: Pietraszkiewicz, W and Gorski, J (ed.) Shell Structures: Theory and Application London CRC Press.
Finite-element analysis of shear-off failure of keyed dry joints in precast concrete segmental bridges
Shamass, R, Zhou, X and Alfano, G (2014). Finite-element analysis of shear-off failure of keyed dry joints in precast concrete segmental bridges. Journal of Bridge Engineering. 20 (6).
A numerical investigation into the plastic buckling paradox for circular cylindrical shells under axial compression
Shamass, R, Alfano, G and Guarracino, F (2014). A numerical investigation into the plastic buckling paradox for circular cylindrical shells under axial compression. Engineering Structures. 75, pp. 429-447.
An analytical insight into the buckling paradox for circular cylindrical shells under axial and lateral loading
Shamass, R, Alfano, G and Guarracino, F (2015). An analytical insight into the buckling paradox for circular cylindrical shells under axial and lateral loading. Mathematical Problems in Engineering. 2015.
An investigation into the plastic buckling paradox for circular cylindrical shells under non-proportional loading
Shamass, R, Alfano, G and Guarracino, F (2015). An investigation into the plastic buckling paradox for circular cylindrical shells under non-proportional loading. Thin-Walled Structures. 95, pp. 347-362.
On the elasto-plastic stability analysis of circular cylindrical shells
Shamass, R, Alfano, G and Guarracino, F (2016). On the elasto-plastic stability analysis of circular cylindrical shells. The International Colloquium On Stability And Ductility Of Steel Structures – SDSS 2016. Timisoara, Romania 30 May - 01 Jun 2016 London South Bank University. pp. 639-646
Modelling post-tensioned precast concrete segmental girder bridges with dry keyed joints – preliminary results
Sejkati, E, Zhou, X, Mancini, M and Shamass, R (2016). Modelling post-tensioned precast concrete segmental girder bridges with dry keyed joints – preliminary results. 9th International Concrete Conference 2016: Environment, Efficiency and Economic Challenges for Concrete. Dundee, Scotland 04 - 06 Jul 2016 London South Bank University.
Numerical analysis of shear-off failure of keyed epoxied joints in precast concrete segmental bridges
Shamass, R, Zhou, X and Wu, Z (2016). Numerical analysis of shear-off failure of keyed epoxied joints in precast concrete segmental bridges. Journal of Bridge Engineering. 22 (1).
On Elastoplastic Buckling Analysis of Cylinders under Nonproportional Loading by Differential Quadrature Method
Shamass, R, Alfano, G and Guarracino, F (2017). On Elastoplastic Buckling Analysis of Cylinders under Nonproportional Loading by Differential Quadrature Method. International Journal of Structural Stability and Dynamics. 17 (7).
Behaviour of Composite Beams Made Using High Strength Steel
Shamass, R and Cashell, KA (2017). Behaviour of Composite Beams Made Using High Strength Steel. Structures. 12, pp. 88-101.