A Simple and Effective Pipe Elbow Element—Interaction Effects

Bathe, Klaus‐Jürgen; Almeida, Cristiane Maria Galdino de

doi:10.1115/1.3161960

Cited by 50 publications

(25 citation statements)

References 7 publications

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“…The non-linear plastic analysis is certainly more di$cult. Hence, some simpli"ed "nite elements were proposed, among which the elbow element proposed by Bathe and Almeida [1,2] was most interesting due to its simplicity and e!ectiveness. It is a beam model and the ovalization of curved pipe is described by "nite Fourier series following von Karman's pioneering work.…”

Section: Introductionmentioning

confidence: 99%

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An enhanced pipe elbow element?application in plastic limit analysis of pipe structures

Yan

Jospin

Nguyen

1999

Int. J. Numer. Meth. Engng.

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SUMMARYIn this paper, we present a new pipe elbow element based on a previous simpli"ed model proposed by Bathe and Almeida [1,2] and modi"ed by Militello and Huespe [3]. It is really a beam-type element but it describes the ovalization, warping, radial expansion and non-symmetric deformation of cross-section of curved pipe with Fourier series. Therefore, it could model precisely enough a real pipe elbow structure but remains simple. The extensive loading cases are e!ectively implemented by the proposed numerical techniques and displacement model. The developed element is used in this paper in plastic limit analysis of pipe elbow structures. This is realized by means of a direct mathematical programming technique. Various elastic and plastic limit state analyses of straight pipes and elbow structures are presented, which illustrates the e$ciency of the element and the numerical method.

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Section: Introductionmentioning

confidence: 99%

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mentioning

confidence: 99%

An enhanced pipe elbow element?application in plastic limit analysis of pipe structures

Yan

Jospin

Nguyen

1999

Int. J. Numer. Meth. Engng.

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“…Localized plasticity effects have also been incorporated into pipeline analysis through generalized plasticity models (Nowzartash & Mohareb, 2004). In order to capture ovalization in pipe elbows, efficient beam type formulations were developed in (Bathe & Almeida, 1982;Militello & Huespe, 1988). Recently, R. E. Erkmen (2013) developed an analysis procedure based on the Bridging multi-scale method of Liu et al (2006), in order to incorporate local deformation effects in the analysis of thin-walled members.…”

Section: Introductionmentioning

confidence: 99%

Multi-scale overlapping domain decomposition to consider local effects in the analysis of pipes

Erkmen¹,

Afnani²

2015

Proceedings of the Second International Conference on Performance-Based and Life-Cycle Structural Engineering (PLSE 2015)

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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 onedimensional 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 technique which effectively combines the efficiency of beam-type solutions while retaining the accuracy of shell-type solutions. 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 a 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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“…Localized plasticity effects have also been incorporated into pipeline analysis through generalized plasticity models [33]. In order to capture ovalization in pipe elbows, efficient beam type formulations were developed in [34][35][36]. Recently, Erkmen [38] developed an analysis procedure based on the Bridging multi-scale method of Liu et al [25][26][27][28], in order to incorporate local deformation effects in the analysis of thin-walled members.…”

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.

show abstract

A Simple and Effective Pipe Elbow Element—Interaction Effects

Cited by 50 publications

References 7 publications

An enhanced pipe elbow element?application in plastic limit analysis of pipe structures

An enhanced pipe elbow element?application in plastic limit analysis of pipe structures

Multi-scale overlapping domain decomposition to consider local effects in the analysis of pipes

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

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