On the collapse of inelastic tubes under combined bending and pressure

Corona, Edmundo; Kyriakides, Stelios

doi:10.1016/0020-7683(88)90005-4

Cited by 188 publications

(63 citation statements)

References 24 publications

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“…Analogous interaction curves and conclusions were drawn in the finite-element investigation of Karamanos and Tassoulas [106]. The numerical results of this study were found to be in very good agreement with the experimental data reported in [105]. Theoretical models for the ovalization mechanism in circular cylinders under bending were also depicted by Elchalakani et al [99], where the validity of these models was confirmed with experiments (10< / r t <20).…”

Section: Introductionsupporting

confidence: 87%

“…The results obtained in [104] were presented in the form of interaction diagrams of pressure versus curvature. This work was further extended by Corona and Kyriakides [105] and the interaction diagrams presented in [105] were supported by experimental data ( / r t =12.3 and 17.4). Analogous interaction curves and conclusions were drawn in the finite-element investigation of Karamanos and Tassoulas [106].…”

Section: Introductionsupporting

confidence: 71%

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Computational techniques in structural stability of thin-walled cylindrical shells

Houliara¹,

Χουλιάρα²

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Η εργασία αυτή έχει σαν κύριο στόχο την μελέτη της δομικής ευστάθειας λεπτότοιχων κυλινδρικών κελυφών, που υπόκεινται σε δομικά φορτία (κάμψη και αξονική συμπίεση) και πίεση. Έτσι στα πλαίσια της Διατριβής αναπτύχθηκε μία αριθμητική τεχνική για την προσομοίωση της συμπεριφοράς των κελυφών, στην οποία και ενσωματώθηκαν καταστατικά μοντέλα μεγάλων παραμορφώσεων. Πιο αναλυτικά, στο πρώτο μέρος της Διατριβής παρουσιάζεται η υπολογιστική τεχνική που εφαρμόστηκε για την επίλυση του προβλήματος. Χρησιμοποιήθηκε πηγαίος κώδικας πεπερασμένων στοιχείων, ο οποίος αρχικώς είχε αναπτυχθεί για σωληνωτά δομικά μέλη μεγάλου πάχους, και εδώ προσαρμόστηκε για την ανά λυση λεπτότοιχων κελυφών. Βασικά στοιχεία της υπολογιστικής τεχνικής αποτελούν (α) το πεπερασμένο στοιχείο «σωλήνα» (tube-element), το οποίο έχει την δυνατότητα περιγραφής της παραμόρφωσης ενός επιμήκους σωληνωτού μέλους συνδυάζοντας την διαμήκη παραμόρφωση τύπου δοκού με την παραμόρφωση της διατομής του μέλους και (β) η χρησιμοποίηση ειδικών καταστατικών μοντέλων για την προσομοίωση της συμπεριφοράς του υλικού με έμφαση στα ανισότροπα ελαστικά υλικά. Τα ανωτέρω ενσωματώθηκαν σε μία μεθοδολογία μη γραμμικής ανάλυσης κατασκευών, η οποία βασίζεται σε μία Λαγκρανζιανή περιγραφή του παραμορφώσιμου στερεού με «ενσωματωμένες» συντεταγμένες και μία τροποποιημένη Newton-Raphson επίλυση των διακριτοποιημένων εξισώσεων ισορροπίας με τη μέθοδο μήκους-τόξου. Ιδιαίτερη έμφαση δίνεται επίσης στον προσδιορισμό διακλάδωσης της λύσης στην ελαστοπλαστική περιοχή, με την προσαρμογή της θεωρίας μοναδικότητας λύσης του Hill στην παρούσα αριθμητική τεχνική και διακριτοποίηση. Η αποτελεσματικότητα της υπολογιστικής τεχνικής εξετάζεται στην επίλυση των «προτύπων» (benchmark) προβλημάτων ευστάθειας. Τα προβλήματα αυτά είναι η ευστάθεια κυκλικών ελαστικών κυλίνδρων σε αξονική συμπίεση υπό αξονομετρικές αρχικές ατέλειες, και η ευστάθεια και μεταλυγισμική συμπεριφορά μη-κυκλικών ελαστικών κυλίνδρων υπό αξονική συμπίεση. Και στα δύο προβλήματα, τα αριθμητικά αποτελέσματα της Διατριβής είναι σε εξαιρετική συμφωνία με ημι-αναλυτικές λύσεις, τόσο στο κρίσιμο φορτίο όσο και στην μεταλυγισμική συμπεριφορά και την ευαισθησία

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Section: Introductionsupporting

confidence: 87%

Section: Introductionsupporting

confidence: 71%

Computational techniques in structural stability of thin-walled cylindrical shells

Houliara¹,

Χουλιάρα²

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“…Kyriakides and Shaw (1987) extended the analysis of 6061-T6 aluminum and 1018 steel tubes to the stability conditions under cyclic bending. Corona and Kyriakides (1988) investigated the stability of 304 stainless steel tubes subjected to combined bending and external pressure. Corona and Vaze (1996) studied the response, buckling and collapse of long, thin-walled seamless steel square tubes under bending.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, Kyriakides and his co-workers used a group of Fourier series to describe the circumferential displacements of the tube (Shaw and Kyriakides, 1985;Kyriakides and Shaw, 1987;Corona and Kyriakides, 1988;Corona and Vaze, 1996). By combining the constitutive equations with the principle of virtual work, a system of nonlinear algebraic equations is determined.…”

Section: Introductionmentioning

confidence: 99%

Response of sharp-notched circular tubes under bending creep and relaxation

Lee¹,

Hsu

Pan

2014

Mechanical Engineering Journal

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In this paper, the response of sharp-notched circular tubes with notch depths of 0.2, 0.4, 0.6, 0.8 and 1.0 mm subjected to bending creep and relaxation are investigated. The bending creep or relaxation is to bend the tube to a desired moment or curvature and hold that moment or curvature constant for a period of time. From the experimental result of bending creep, the creep curvature and ovalization increase with time. In addition, higher held moment leads to the higher creep curvature and ovalization of the tube's cross-section. From the experimental result for bending relaxation, the bending moment rapidly decreases with time and becomes a steady value. As for the ovalization, the amount increases a little with time and gradually becomes a steady value. Due to the constant ovalization caused by the constant curvature under bending relaxation, the tube does not buckle. Finally, the formulation proposed by Lee and Pan (2002) is modified for simulating both the creep curvature-time relationship in the first stage under bending creep and the relaxation moment-time relationship under bending relaxation for sharp-notched circular tubes with different notch depths. Through comparing with the experimental finding, the theoretical analysis can reasonably describe the experimental result. Keywords IntroductionThe circular tube components, which are used in several industrial applications such as offshore pipelines, platforms in offshore deep water, tubular components in nuclear reactors, etc., are often subjected to bending. It is well known that the ovalization of the tube cross-section is observed when a circular tube is subjected to bending. If the bending moment or curvature increases, the ovalization also increases. Increase in ovalization causes a progressive reduction in the bending rigidity, which can result in buckling of the tube components. Therefore, the study of the response of circular tubes subjected to bending is of importance in many industrial applications.In early stage, Kyriakides and his co-workers designed and constructed a tube cyclic bending machine, and conducted a series of experimental and theoretical investigations. Shaw and Kyriakides (1985) investigated the inelastic behavior of 6061-T6 aluminum and 1018 steel tubes subjected to cyclic bending. Kyriakides and Shaw (1987) extended the analysis of 6061-T6 aluminum and 1018 steel tubes to the stability conditions under cyclic bending. Corona and Kyriakides (1988) investigated the stability of 304 stainless steel tubes subjected to combined bending and external pressure. Corona and Vaze (1996) studied the response, buckling and collapse of long, thin-walled seamless steel square tubes under bending. Vaze and Corona (1998) experimentally investigated the elastic-plastic degradation and collapse of steel tubes with square cross-sections under cyclic bending. Corona et al. (2006) used a set of bending experiments to conduct on aluminum alloy tubes for investigating the yield anisotropy effects on the buckling. Response of sharp-notched ci...

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“…Since 1980, several metal tubes under monotonic or cyclic bending with or without external pressure have been investigated by several researchers, such as: the response and collapse of 6061-T6 aluminum alloy tubes under combined monotonic bending and external pressure tested by Kyriakides and Shaw (3) ; the response of 6061-T6 aluminum alloy and 1018 steel tubes under cyclic bending tested by Shaw and Kyriakides (4) ; the collapse of 6061-T6 aluminum alloy and 1018 steel tubes under cyclic bending tested by Kyriakides and Shaw (2) ; the response and stability of 304 stainless steel tubes subjected to combined monotonic bending and external pressure studied by Corona and Kyriakides (5) ; the response and buckling of 6061-T6 aluminum alloy and 1020 steel tubes under cyclic bending and external pressure discussed by Corona and Kyriakides (6) . Subsequently, Pan et al also investigated the response and collapse of circular tubes subjected to monotonic or cyclic bending.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Investigation of the Response and Collapse of 316L Stainless Steel Tubes Subjected to Cyclic Bending

Lee

Shie

Chang

2005

JSME Int. J., Ser. A

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This paper presents the experimental and theoretical results of the response and collapse of 316L stainless steel tubes subjected to cyclic bending. The tube bending machine and curvature-ovalization measurement apparatus(1) were used for conducting the curvaturecontrolled experiment. It was found that the response and collapse are similar to that of metal tubes found in literatures. Next, the endochronic theory and the principle of virtual work were used to simulate the response of 316L stainless steel tubes under cyclic bending. In addition, a proposed theoretical formulation (2) was used to simulate the relationship between the controlled curvature and the number of cycles to produce buckling. It has been shown that the theoretical simulations of the response and collapse correlate well with the experimental data.

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On the collapse of inelastic tubes under combined bending and pressure

Cited by 188 publications

References 24 publications

Computational techniques in structural stability of thin-walled cylindrical shells

Computational techniques in structural stability of thin-walled cylindrical shells

Response of sharp-notched circular tubes under bending creep and relaxation

Experimental and Theoretical Investigation of the Response and Collapse of 316L Stainless Steel Tubes Subjected to Cyclic Bending

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