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GBT-based semi-analytical solutions for the plastic bifurcation of thin-walled members
- Source :
-
International Journal of Solids & Structures . Jan2010, Vol. 47 Issue 1, p34-50. 17p. - Publication Year :
- 2010
-
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]
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 47
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 45070917
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2009.09.013