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Fem determination of the plastic limit load for cylindrical shells

Publication date: 20.12.2019

Technical Transactions, 2019, Volume 12 Year 2019 (116), pp. 151 - 162

https://doi.org/10.4467/2353737XCT.19.128.11453

Authors

,
Kamil Słowiński
Department of Building Structures, Silesian Technical University
https://orcid.org/0000-0002-4225-520X Orcid
All publications →
Marek Piekarczyk
Institute of Building Materials and Engineering Structures, Faculty of Civil Engineering, Cracow University of Technology
https://orcid.org/0000-0003-0566-4749 Orcid
All publications →

Titles

Fem determination of the plastic limit load for cylindrical shells

Abstract

In this paper a new approach to the consistent identification of the deformation pattern vital for the precise determination of the plastic limit load of a cylindrical shell from MNA when using modified Southwell (MS) and Tangent Stiffness (TS) plots is presented. It is proposed that the formalised assessment of the plastic collapse load can be done by the application of the relation between the load factor increment ΔrR and the arc length s – for an identification of achievement of the complete plastic collapse mechanism from MNA, and then the MS or TS plot for the displacement pattern that corresponds to the identified plastic mechanism.

Streszczenie
W artykule przedstawiono metodę pozwalającą na jednoznaczną identyfikację postaci deformacji kluczowej w procesie wyznaczania nośności plastycznej powłoki cylindrycznej z analizy MNA, przy zastosowaniu zmodyfikowanej zależności Southwella (MS) oraz metody sztywności stycznej (TS). Proponuje się, żeby formalna ocena plastycznego obciążenia niszczącego oparta była na wykorzystaniu zależności między przyrostem mnożnika obciążenia ΔrR i długością łuku s – w celu identyfikacji momentu osiągnięcia w analizie kompletnego mechanizmu zniszczenia, a następnie zastosowaniu wykresów zależności MS i TS dla postaci deformacji stowarzyszonej z wskazanym wcześniej mechanizmem.

References

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[2] Rotter J.M., Shell buckling design and assessment and the LBA-MNA methodology, “Stahlbau”, Vol. 80(11)/2011, 791–803.

[3] EN 1993-1-6 Eurocode 3. Design of steel structures. Part 1-6: Strength and stability of shell structures, CEN, Brussels 2007.

[4] Michałowski T., Piekarczyk M.T., Selected issues of special steel structures. Chimneys, silos, tanks, Wydawnictwo PK, Kraków 2019.

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[6] Save M.A., Massonnet C.E., Plastic analysis and design of plates, shells and disks, North-Holland Publishing Company, Amsterdam–London 1972.

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[8] Holst J.M.F.G., Rotter J.M., Gillie M., Münch M., Failure criteria for shells on local brackets, New Approaches to Structural Mechanics, Shells and Biological Structures, Kluwer Academic Publishers, London 2002.

[9] Gillie M., Holst J.M.F.G, Structural behaviour of silos supported on discrete, eccentric brackets, “Journal of Constructional Steel Research”, Vol. 59/2003, 887–910.

[10] Santos G.B., Gardner L., Kucukler M., A method for the numerical derivation of plastic collapse loads, “Thin-Walled Structures”, Vol. 124/2018, 258–277.

[11] Hibbit, Karlsson and Sorenson Inc., Abaqus/Standard user’s manual – Version 6.1, 2000.

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Information

Information: Technical Transactions, 2019, Volume 12 Year 2019 (116), pp. 151 - 162

Article type: Original article

Titles:

Polish:

Fem determination of the plastic limit load for cylindrical shells

English:

Fem determination of the plastic limit load for cylindrical shells

Authors

https://orcid.org/0000-0002-4225-520X

Kamil Słowiński
Department of Building Structures, Silesian Technical University
https://orcid.org/0000-0002-4225-520X Orcid
All publications →

Department of Building Structures, Silesian Technical University

https://orcid.org/0000-0003-0566-4749

Marek Piekarczyk
Institute of Building Materials and Engineering Structures, Faculty of Civil Engineering, Cracow University of Technology
https://orcid.org/0000-0003-0566-4749 Orcid
All publications →

Institute of Building Materials and Engineering Structures, Faculty of Civil Engineering, Cracow University of Technology

Published at: 20.12.2019

Article status: Open

Licence: CC BY  licence icon

Percentage share of authors:

Kamil Słowiński (Author) - 50%
Marek Piekarczyk (Author) - 50%

Article corrections:

-

Publication languages:

English