Stability of long transversely-isotropic elastic cylindrical shells under bending

Houliara, Sotiria; Karamanos, Spyros A.

doi:10.1016/j.ijsolstr.2009.09.004

Cited by 32 publications

(14 citation statements)

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“…More recently, Karamanos and Houliara [31,44,45] studied the elastic bifurcation buckling behaviour of long thinwalled tubes under bending (R/t > 100 and 'infinite' L/R) using a similar 'tube element' formulation. Though successful, the numerical formulations presented in these publications are highly specialised and effectively beyond the reach of practising engineers and most researchers, who generally rely on commercially available finite element software.…”

Section: Finite Element Modelling Of Thick Shells Under Global Bendingmentioning

confidence: 99%

Solid or shell finite elements to model thick cylindrical tubes and shells under global bending

Sadowski¹,

Rotter²

2013

International Journal of Mechanical Sciences

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This paper explores the use of solid continuum finite elements and shell finite elements in the modelling of the nonlinear plastic buckling behaviour of cylindrical metal tubes and shells under global bending. The assumptions of shell analysis become increasingly uncertain as the ratio of the radius of curvature to the thickness becomes smaller, but the classical literature does not draw a clear line to define when a shell treatment is inappropriate and a continuum model becomes essential. This is a particularly important question for the bending of tubular members, pipelines, chimneys, piles, towers and similar structures. This study is therefore concerned solely with the uniform bending of thin tubes or thick shells which fail by plastic buckling well into the strain-hardening range. The analyses employ finite element formulations available in the commercial software ABAQUS because this is the most widely used tool for parametric research studies in this domain with an extensive and diverse element library. The results are of general validity and are applicable to other finite element implementations. This paper thus seeks to determine the adequacy of a thin or thick shell approximation, taking into account geometric nonlinearity, complex equilibrium paths, limit points and bifurcation buckling, extensive material ductility and linear strain hardening. It aims to establish when it is viable to employ shell elements and when this decision will lead to outcomes that lack sufficient precision for engineering design purposes. Sciences, 74, 143-153. DOI: http://dx.doi.org/10.1016/j.ijmecsci.2013 continuum elements to model tubes in bending is found to become increasingly uneconomical as the R/t ratio rises above 25 with reduced advantages over shell elements, both in terms of the accuracy of the solution and the computation time.

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Section: Finite Element Modelling Of Thick Shells Under Global Bendingmentioning

confidence: 99%

Solid or shell finite elements to model thick cylindrical tubes and shells under global bending

Sadowski¹,

Rotter²

2013

International Journal of Mechanical Sciences

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“…For large D/t-ratios short wavelength rippling will occur during bending (both for elastic [17] and inelastic cylinders [22]). At increasing bending angles the tube will locally collapse and a number of "diamond" shapes will be formed.…”

Section: Deformation Of a Tube During Bendingmentioning

confidence: 99%

Discrete element modelling of bendable tubes

Leblicq

Vanmaercke

Ramón

et al. 2015

International Journal of Mechanical Sciences

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a b s t r a c tComputer simulations are becoming increasingly important for the optimisation of various processes since they can significantly reduce the development time and costs. The discrete element method (DEM) offers a powerful tool for simulating the interactions of large numbers of particles. The method has proven its usefulness for many applications where granular and spherical particles are handled. Very recently DEM, was used to simulate the interactions of tubular particles. While the existing linear elastic models could describe the reversible bending and denting of these particles in a realistic way for small deformations, they are inadequate for describing the bending and compression behaviour at higher forces. In this region, buckling phenomena become important. Therefore, new phenomenological models, inspired by the collapse of steel tubes due to ovalisation of the cross section and the formation of plastic hinges, have been implemented for metal and synthetic plastic tubes. Using these models virtual, bendable tubes were created in the DEMeterþ þ software. The DEM parameters were calibrated for copper and PVC tubes based on combined bending and denting tests conducted using an Universal Testing System. The simulations were in good agreement with the measurements (R 2 4 0:91). This realistic DEM model of bending can, in future research, be used to simulate the processing of large numbers of tubular particles (e.g. the processing of crop stems).

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“…In contrast, Shelltype finite elements can capture local effects. The buckling response for long pipes under combinations of bending, axial force, and external pressure using shell analyses were investigated in [3][4][5]. On the other hand shell elements are computationally more expensive and time consuming, and for typical pipeline networks spanning hundreds of meters, such shell analyses become impractical.…”

Section: Introductionmentioning

confidence: 99%

Multi-Scale Overlapping Domain Decomposition to Consider Elasto-Plastic Local Buckling Effects in the Analysis of Pipes

Erkmen

Mohareb

Afnani

2017

Int. J. Str. Stab. Dyn.

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Elevated pipelines are commonly encountered in petro-chemical and industrial applications. Within these applications, pipelines normally span hundreds of meters and are thus analysed using beam-type one-dimensional finite elements when the global behaviour of the pipeline is sought at a reasonably low computational cost. Standard beam-type elements, while computationally economic, are based on the assumption of rigid cross-section. Thus, they are unable to capture the effects of cross-sectional localized deformations. Such effects can be captured through shell-type finite element models. For long pipelines, shell models become prohibitively expensive. Within this context, the present study formulates an efficient numerical modelling which effectively combines the efficiency of beam-type solutions while retaining the accuracy of shell-typesolutions. An appealing feature of the model is that it is able to split the global analysis based on simple beam-type elements from the local analysis based on shell-type elements. This is achieved through domain-decomposition procedure within the framework of the bridging multi-scale method of analysis. Solutions based on the present model are compared to those based on full shell-type analysis. The comparison demonstrates the accuracy and efficiency of the proposed method.

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Stability of long transversely-isotropic elastic cylindrical shells under bending

Cited by 32 publications

References 32 publications

Solid or shell finite elements to model thick cylindrical tubes and shells under global bending

Solid or shell finite elements to model thick cylindrical tubes and shells under global bending

Discrete element modelling of bendable tubes

Multi-Scale Overlapping Domain Decomposition to Consider Elasto-Plastic Local Buckling Effects in the Analysis of Pipes

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