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Coupled Systems Mechanics
  Volume 2, Number 4, December 2013 , pages 349-374

Linear instability or buckling problems for mechanical and coupled thermomechanical extreme conditions
Adnan Ibrahimbegovic, Emina Hajdo and Samir Dolarevic

    In this work we propose a novel procedure for direct computation of buckling loads for extreme mechanical or thermomechanical conditions. The procedure efficiency is built upon the von Karmann strain measure providing the special format of the tangent stiffness matrix, leading to a general linear eigenvalue problem for critical load multiplier estimates. The proposal is illustrated on a number of validation examples, along with more complex examples of interest for practical applications. The comparison is also made against a more complex computational procedure based upon the finite strain elasticity, as well as against a more refined model using the frame elements. All these results confirm a very satisfying performance of the proposed methodology.
Key Words
    buckling; thermomechanical coupling; geometric instability, critical load, eigenvalue problem
Adnan Ibrahimbegovic and Emina Hajdo; Laboratoire de mécanique et technologie, École Normale Supérieure,61 Avenue du Président Wilson, 94230 Cachan, France
Samir Dolarevic; Faculty of Civil Engineering, University of Sarajevo, Patriotske lige 30, 71000 Sarajevo, Bosnia and Herzegovina

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