1. GBT-based semi-analytical solutions for the plastic bifurcation of thin-walled members
- Author
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Gonçalves, Rodrigo, Le Grognec, Philippe, and Camotim, Dinar
- Subjects
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MATERIAL plasticity , *BIFURCATION theory , *MECHANICAL buckling , *COMPRESSIBILITY , *DEFORMATIONS (Mechanics) , *NUMERICAL analysis , *COMPARATIVE method , *FINITE element method - Abstract
Abstract: This paper presents the development and illustrates the application of semi-analytical solutions for plastic buckling (bifurcation) problems involving perfectly straight and uniformly compressed thin-walled metal members. These solutions are derived on the basis of a non-linear Generalised Beam Theory (GBT) formulation, recently proposed by two of the authors, that resorts to a linearised buckling analysis that adopts Hill’s hypo-elastic comparison solid method to obtain the plastic bifurcation loads and associated buckling mode shapes. Moreover, both small-strain incremental and deformation plasticity theories are employed. Several numerical illustrative examples are presented and discussed throughout the paper and closed-form analytical formulae are also derived. The accuracy of the GBT-based semi-analytical plastic bifurcation predictions is assessed through the comparison with (i) available theoretical solutions and/or (ii) results yielded by a special shell finite element model developed by one of the authors. [Copyright &y& Elsevier]
- Published
- 2010
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