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Journal of Structural Mechanics Volume 6, 1978 - Issue 4
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Original Articles

On the Topological Classification of Postbuckling Phenomena

J. M. T. Thompson DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY COLLEGE, LONDON, ENGLAND
,
J. K. Y. Tan DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY COLLEGE, LONDON, ENGLAND
&
K. C. Lim DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY COLLEGE, LONDON, ENGLAND
Pages 383-414 | Received 27 Mar 1978, Published online: 03 Apr 2007

Citations (17)

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Read on this site (4)

Z. Gáspár. (1983) Critical Imperfection Territory∗. Journal of Structural Mechanics 11:3, pages 297-325.
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J.M. T. Thompson. (1982) Catastrophe Theory in Mechanics: Progress or Digression. Journal of Structural Mechanics 10:2, pages 167-175.
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T. R. Graves Smith & S. Sridharan. (1980) The Local Collapse of Elastic Thin Walled Columns. Journal of Structural Mechanics 8:4, pages 471-489.
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P. Samuels. (1979) The Relationship between Postbuckling Behavior at Coincident Branching Points and the Geometry of an Umbilic Point of the Energy Surface. Journal of Structural Mechanics 7:3, pages 297-324.
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Articles from other publishers (13)

Gaik A. Manuylov, Sergey B. Kositsyn & Irina E. Grudtsyna. (2021) Numerical and Analytical Investigation of Stability of the Reinforced Plate. Communications - Scientific letters of the University of Zilina 23:4, pages B278-B287.
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G A Manuylov, S B Kosytsyn & I E Grudtsyna. (2019) Stability Investigation of a Stiffened Plate by Using Numerical Methods. Journal of Physics: Conference Series 1425:1, pages 012031.
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Vasiliki S. Pantazi & Dimitrios S. Sophianopoulos. (2017) 05.41: A unified catastrophe theory approach for the in-plane buckling of steel arches under point gravitational loading. ce/papers 1:2-3, pages 1399-1406.
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M. Ohsaki & K. Ikeda. (2009) Imperfection sensitivity of degenerate hilltop branching points. International Journal of Non-Linear Mechanics 44:3, pages 324-336.
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Lord Chilver. (2006) Michael Thompson: His Seminal Contributions to Nonlinear Dynamics – and Beyond. Nonlinear Dynamics 43:1-2, pages 3-16.
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V. Gioncu. 1998. Coupled Instabilities in Metal Structures. Coupled Instabilities in Metal Structures 85 149 .
C. Lazopoulos & S. Markatis. (1994) On the singularities of constrained elastic systems—umbilics. Thin-Walled Structures 19:2-4, pages 181-195.
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V. Gioncu. (1994) General theory of coupled instabilities. Thin-Walled Structures 19:2-4, pages 81-127.
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K.A. Mladenov. (1992) On the critical and postcritical behaviour of plane frames. Journal of Constructional Steel Research 21:1-3, pages 97-113.
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Z. Gáspár. (2006) Computation of Imperfection‐Sensitivity at Two‐Fold Branching Points. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 63:8, pages 359-370.
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T. R. Graves Smith. (1982) Tests on the local strengths of elastic thin-walled columns. Experimental Mechanics 22:3, pages 101-105.
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Ian Stewart. (1981) Applications of catastrophe theory to the physical sciences. Physica D: Nonlinear Phenomena 2:2, pages 245-305.
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P. Samuels. (1980) Bifurcation and limit point instability of dual eigenvalue third order systems. International Journal of Solids and Structures 16:8, pages 743-756.
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