Large rotation analysis of elastic thin-walled beam-type structures using ESA approach

Turkalj, Goran; Brnić, Josip; Prpić-Oršić, Jasna

doi:10.1016/s0045-7949(03)00206-2

Cited by 49 publications

(52 citation statements)

References 14 publications

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“…It is worth noting that terms arising from the nonlinear components completely coincide with the expressions already derived in the literature [33].…”

Section: Finite Element Formulationsupporting

confidence: 74%

Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Lanc

Turkalj

et al. 2016

Composite Structures

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“…It is worth noting that terms arising from the nonlinear components completely coincide with the expressions already derived in the literature [33].…”

Section: Finite Element Formulationsupporting

confidence: 74%

Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Lanc

Turkalj

et al. 2016

Composite Structures

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“…where F z represents an axial force, F x and F y are shear forces, M x and M y are bending moments with respect to the x-and y-axis, respectively, and M z is a torsion moment [9]. According to Hookes law, the incremental stress-strain relations can be defined as z = Ee zz , zx = Ge zx , zy = Ge zy (12) where E and G are the elastic and shear moduli, respectively.…”

Section: Beam Stress Resultantsmentioning

confidence: 99%

Finite‐element model for creep buckling analysis of beam‐type structures

Lanc¹,

Turkalj²,

Brnić³

2007

Commun. Numer. Meth. Engng.

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SUMMARYThis paper presents a one-dimensional finite element for creep buckling analysis of structures comprised of straight and prismatic beam members. Spatial displacements and rotations are allowed to be large while strains are assumed to be small. Material is assumed to be homogenous and isotropic. The corresponding equilibrium equations are formulated in the framework of co-rotational description, using the virtual work principle. In contrast to conventional co-rotational formulation, which is linear on element level and unable to model Wagner effect, in this paper an additional nonlinear part of stiffness matrix is evaluated and added to standard elastic stiffness. Implementation of developed numerical algorithm is demonstrated through few test problems.

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“…Adopting a linear interpolation for o w displacement and cubic interpolation for 0 0 z ,,  uv one can derive: Ref. [29]. The set of non-linear equilibrium equations of a structure must be attempted by incremental iterative approach.…”

Section: )mentioning

confidence: 99%

Buckling analysis of thin-walled functionally graded sandwich box beams

Lanc

Turkalj

et al. 2015

Thin-Walled Structures

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Buckling analysis of thin-walled functionally graded (FG) sandwich box beams is investigated. Material properties of the beam are assumed to be graded through the wall thickness. The Euler-Bernoully beam theory for bending and the Vlasov theory for torsion are applied. The non-linear stability analysis is performed in framework of updated Lagrangian formulation. In order to insure the geometric potential of semitangental type for internal bending and torsion moments, the non-linear displacement field of thinwalled cross-section is adopted. Numerical results are obtained for FG sandwich box beams with simplysupported, clamped-free and clamped-clamped boundary conditions to investigate effects of the power-law index and skin-core-skin thickness ratios on the critical buckling loads and post-buckling respones.Numerical results show that the above-mentioned effects play very important role on the buckling analysis of sandwich box beams.

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Large rotation analysis of elastic thin-walled beam-type structures using ESA approach

Cited by 49 publications

References 14 publications

Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Finite‐element model for creep buckling analysis of beam‐type structures

Buckling analysis of thin-walled functionally graded sandwich box beams

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