Adaption of Koiter's method to finite element analysis of snap-through buckling behavior

Haftka, Raphael T.; Mallett, R. H.; Nachbar, W.

doi:10.1016/0020-7683(71)90055-2

Cited by 58 publications

(25 citation statements)

References 6 publications

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“…When a circular shallow arch is buckled in snapthrough behaviour, its deformed shape is similar to the buckled shape of a unilaterally restrained arch. Table 1 presents the buckling load coefficients for circular arch suggested by Kerr and Soifer 16 and Haftka et al 17 Sun and Natori 18 proposed the numerical solution of a large deformation problem considering the unilateral boundary condition. Smith et al 19 and Bradford et al 20 showed that the unilateral buckling strength is larger than the bilateral buckling strength for a rectangular plate subjected to the bending, compression and shear.…”

Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 98%

“…[16][17][18][19] Kerr and Soifer 16 proposed the buckling strength of a circular arch by linearisation of the prebuckling deformation. Haftka et al 17 suggested the bifurcation buckling strength and snap-through buckling strength of a circular shallow arch using the Koiter's method. When a circular shallow arch is buckled in snapthrough behaviour, its deformed shape is similar to the buckled shape of a unilaterally restrained arch.…”

Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 99%

“…The buckling coefficients proposed by Kerr and Soifer 16 were adopted to estimate the buckling strength of the internal steel tube. From the study of Kerr and Soifer, 16 the buckling strength of a circular shallow arch can be calculated by equation (17). In this equation, the normalised nondimensional pressure ( p) is replaced with 2 .…”

Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 99%

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Nonlinear concrete model for an internally confined hollow reinforced concrete column

Han

Lim

Han

et al. 2008

Magazine of Concrete Research

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A hollow reinforced concrete (RC) column has been used to obtain a more economical design by reduction of the material or the self weight of the column. Although a hollow RC column offers a high effectiveness of section properties, it may show poor ductility owing to brittle failure at its inner face. In order to develop a more economical and safer model for a RC column, an internally confined hollow (ICH) RC column and its non-linear concrete model were proposed with the considerations of confining effects. To determine the relation of stressstrain for the concrete in an ICH RC column, possible failure modes of the column were investigated and the confining pressure was derived from equilibriums for each failure mode. A computer program was developed with respect to the derived equilibrium equations and parametric studies were performed to evaluate the application of the developed program. The ICH RC column significantly improved its strength and ductility by the internal confinement.

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Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 98%

Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 99%

Section: Buckling Condition Of Flat Internal Tubementioning

confidence: 99%

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Nonlinear concrete model for an internally confined hollow reinforced concrete column

Han

Lim

Han

et al. 2008

Magazine of Concrete Research

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“…4 However, when combining the asymptotic approach with a finite element discretization, many critical loads are involved. 5 Koiter suggested a method of handling nearly coincident critical loads, while Byskov and Hutchinson presented a formulation for well-separated critical loads. 6 It has also been shown experimentally that interaction between well-separated critical loads can occur.…”

Section: An Investigation Into Non-linear Interaction Between Bucklinmentioning

confidence: 99%

An investigation into non-linear interaction between buckling modes

Menken¹,

Kouhia²,

Groot

1994

Thin-Walled Structures

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“…Kerr and Soifer (1969) proposed a method to determine the buckling strength of a circular arch by linearisation of the prebuckling deformation. Haftka et al (1971) suggested a method to determine the bifurcation buckling strength and snap-through buckling strength of a circular shallow arch using Koiter's method. Sun and Natori (1996) proposed a numerical solution for a large-deformation problem by considering the unilateral boundary condition.…”

mentioning

confidence: 99%

Optimum confining effect in steel composite hollow RC column with inner tube under compressive load

Won

Han

Kim

et al. 2014

Magazine of Concrete Research

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An internally confined hollow reinforced concrete (ICH RC) column offers strong and durable confinement by the reinforcement of the inner tube. When the concrete in an ICH RC column experiences axial pressure, an inward radial pressure is produced by the arching action. This radial pressure is resisted by the concrete and the inner tube.Previous research considered the outer pressure and inner pressure to be equal. However, the inner pressure acting on the inner tube is lower because it is partially resisted by the concrete. Therefore, to determine the optimum confining effect on the concrete by the confining condition, it was necessary to determine reasonable values for the inward and outward confining stress in ICH RC columns. In the current study, the confining effects of concrete in an ICH RC column were investigated and evaluated using finite-element (FE) analysis. Parametric studies were performed to determine the factors affecting the confinement of the core concrete in an ICH RC column. The hollow ratio was found to be the main factor affecting the internal confining stress in an ICH RC column. Using the results of FE analysis, estimation equations for the internal confining stress and a new modified equation for the failure condition were developed.

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Adaption of Koiter's method to finite element analysis of snap-through buckling behavior

Cited by 58 publications

References 6 publications

Nonlinear concrete model for an internally confined hollow reinforced concrete column

Nonlinear concrete model for an internally confined hollow reinforced concrete column

An investigation into non-linear interaction between buckling modes

Optimum confining effect in steel composite hollow RC column with inner tube under compressive load

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