Elastoplastic buckling analysis of rectangular plates applying incremental and deformational theories of plasticity

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Abstract

In this paper the elastoplastic buckling of rectangular plates are investigated under different loads and boundary conditions. Load is applied in plane and in uniaxial and equibiaxial directions. Both incremental and deformation theories of plasticity are employed to analyze the problem. The Generalize Differential Quadrature method is employed as numerical method. For thick plates, the significant effect of transverse shear deformation on the critical buckling load may be accounted for by adopting the Reissner plate theory. The results obtained from both plasticity theories are close to each other in thin plates, however, with increasing the thickness of plates a considerable difference between the buckling loads obtained from two theories is observed. The influences of aspect ratio, loading ratio, plate thickness, material properties and various boundary conditions on buckling factor are investigated in the analysis under uniaxial and equibiaxial loads. The results show that with increasing the amount of plasticity, the deformation theory generally gives consistently lower buckling load than those of incremental theory. A large discrepancy between two theories occurs with increasing of plate thickness,  and  in the Ramberg-Osgood relations. 

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References

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Iranian Journal of Mechanical Engineering Transactions of ISME
Volume 15, Issue 1 - Serial Number 30
System Dyanamics and Solid Mechanics
June 2013
Pages 36-81

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  • Receive Date: 22 May 2013
  • Accept Date: 22 May 2013

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