Nonlinear elastic/plastic buckling analysis of thick/thin skew plates under uniaxial and biaxial loading

Maarefdoust, Mahdi; Kadkhodayan, Mehran

doi:10.1177/0954406214564411

Cited by 5 publications

(2 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Xiong and Wang 11 studied both the vibration and stability of a non-conservative two-degree-of-freedom system. Nonlinear elastic and plastic buckling analysis of thick skew plates under uniaxial and biaxial loadings were studied by Maarefdoust and Kadkhodayan 12 using the generalized differential quadrature method (DQM). Wang et al 13 proposed a modified version of the DQM for analyzing the static buckling of different skew plates.…”

Section: Introductionmentioning

confidence: 99%

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

Kumar

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In this work, the analytical investigation for pre-buckling vibration and buckling analyses of a composite skew plate subjected to parabolically and linearly varying in-plane edge load are presented. When the composite skew plate is subjected to parabolic (non-uniform) in-plane edge loading, the pre-buckling stresses within the composite skew plate are not known a priori. To estimate the pre-buckling stresses within the composite skew plate for which the in-plane elasticity problem is solved by minimizing the membrane strain energy using the Ritz method. It is observed that the rate of diffusion of applied parabolic in-plane edge load within the skew plate to a state of uniform in-plane stress is faster in the case of isotropic material than composite material. Using estimated pre-buckling stresses, the total energy functional is derived from the total strain energy, potential energy, and kinetic energy. The total energy functional is reduced into sets of an ordinary differential equation and algebraic equation, respectively for pre-buckling vibration and buckling problems using the Ritz method in conjunction with BCOPs. The associated linear eigenvalue problems are solved to compute the pre-buckling vibration frequency and buckling load of the stressed skew plate. The outcome of the study may provide crucial inputs in the design of skewed bridge decks, ship structures, and aircraft wing design.

show abstract

Section: Introductionmentioning

confidence: 99%

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

Kumar

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…It was shown that predictions of DT and IT are close to each other if the small deformation assumption is not violated. Maarefdoust and Kadkhodayan 30,31 suggested the use of generalized DQ (GDQ) method for addressing the nonlinear elastoplastic buckling problem of skew plates. By means of the same solution technique and based on both DT and IT, the elastic-plastic buckling analysis of plates made of functionally graded materials was presented in BeikMohammadlou and EkhteraeiToussi.…”

Section: Introductionmentioning

confidence: 99%

A numerical approach to the elastic/plastic axisymmetric buckling analysis of circular and annular plates resting on elastic foundation

Hasrati

Ansari

Rouhi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Presented herein is the elastic/plastic axisymmetric buckling analysis of circular and annular plates resting on elastic foundation under radial loading based on a variational numerical method named as variational differential quadrature. To accomplish this aim, a first-order shear deformable plate model is developed in the context of incremental theory of plasticity (IT) (with the Prandtl-Reuss constitutive equations) and the deformation theory of plasticity (DT) (with the Hencky constitutive equations). It is considered that the material of plates exhibits strain hardening characterized by the Ramberg-Osgood relation. Also, the Winkler and Pasternak models are employed in order to formulate the elastic foundation. To implement the variational differential quadrature method, the matrix formulations of strain rates and constitutive relations are first derived. Then, based upon Hamilton's principle and using the variational differential quadrature derivative and integral operators, the discretized energy functional of the problem is directly obtained. Selected numerical results are presented to study the effects of various parameters including thickness-to-radius ratio, elastic modulus-to-nominal yield stress ratio, power of the Ramberg-Osgood relation and parameters of elastic foundation on the elastic/plastic buckling of circular and annular plates subject to different boundary conditions. Moreover, several comparisons are provided between the results of two plasticity theories, i.e. IT and DT. The effect of transverse shear deformation is also highlighted.

show abstract

Elastoplastic postbuckling analysis of moderately thick rectangular plates using the variational differential quadrature method

Hasrati

Ansari

Rouhi

2019

Aerospace Science and Technology

View full text Add to dashboard Cite

Nonlinear elastic/plastic buckling analysis of thick/thin skew plates under uniaxial and biaxial loading

Cited by 5 publications

References 32 publications

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation

A numerical approach to the elastic/plastic axisymmetric buckling analysis of circular and annular plates resting on elastic foundation

Elastoplastic postbuckling analysis of moderately thick rectangular plates using the variational differential quadrature method

Contact Info

Product

Resources

About