Plastic limit analysis with an anisotropic, parabolic yield function

Reinicke, Kurt M.; Ralston, T. D.

doi:10.1016/0148-9062(77)90006-7

“…For the latter applilowing form can be used to describe the failure cation, the reader is referred to the review article by envelope in terms of the normal stresses (o) and shear Sanderson (1 984). stresses (t) Several different formulations have been used to mathematically describe the failure envelope for ice including the von Mises (Michel and Toussaint, 1977), Tresca (Croasdale et al, 1977), n-type (Reinicke and Ralston, 1977;Ralston, 1978) and modified DruckerPrager Das, 1983a, 1983b). Of all of these methods, only the n-type yield function can represent the anisotropic nature of the ice.…”

Section: Application Of Resultsmentioning

confidence: 99%

Confined compression tests: Outlining the failure envelope of columnar sea ice

Timco¹,

Frederking²

1986

Cold Regions Science and Technology

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/npsi/ctrl?lang=en http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?lang=fr Access and use of this website and the material on it are subject to the Terms and Conditions set forth at http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=en NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. Science and Technology, 12, 1, pp. 13-28, 1986-02 On a mesurk la charge appliquee et la charge sous confinement lateral. Cold RegionsCes essais servent b determiner l'enveloppe globale de rupture de la glace dans les trois dimensions.Les resultats sont i5tudiks au point de vue effet de la vitesse de chargement, tempkrature, volume d'eau salke et porositi5 de la glace.On Stablit un indice de resistance qui met en correlation les rgsultats actuels sur la base de ces paramztres.Cela conduit B une relation empirique qui indique la dependance fonctionnelle de la resistance en compression uniaxiale en termes de vitesse de d6formation, de direction de chargement, de salinitk, de temperature et de densite de la glace.Une description mathematique de l'enveloppe de rupture est faite 3 l'aide d'une fonction limite 6lastique modifike de type n.Cold Regions Science and Technology, 12 (1 986)

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“…A yield criterion capable of capturing these characteristics has been proposed by Reinicke and Ralston [16] as…”

Section: Ice Sheet Indentationmentioning

confidence: 99%

A new discontinuous upper bound limit analysis formulation

Krabbenhøft

¹

,

Lyamin

²

,

Hjiaj

³

et al. 2005

Numerical Meth Engineering

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SUMMARYA new upper bound formulation of limit analysis of two-and three-dimensional solids is presented. In contrast to most discrete upper bound methods the present one is formulated in terms of stresses rather than velocities and plastic multipliers. However, by means of duality theory it is shown that the formulation does indeed result in rigorous upper bound solutions. Also, kinematically admissible discontinuities, which have previously been shown to be very efficient, are given an interpretation in terms of stresses. This allows for a much simpler implementation and, in contrast to existing formulations, extension to arbitrary yield criteria in two and three dimensions is straightforward. Finally, the capabilities of the new method are demonstrated through a number of examples.

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“…Theoretical studies of ice forces on structures have indicated that the existence of the plane-strain condition would be a significant factor in determining design ice loads (Assur, [1972]). Information on failure strength under biaxial loading is also required in the evaluation of yield criteria postulated for ice (Reinicke and Ralston, 1976). This paper presents results of observations on the strain-rate dependence of the plane-strain compressive strength of ice having both anisotropic (columnar-grained ice) and isotropic structure (granular snow ice).…”

Section: Introductionmentioning

confidence: 99%

Plane-Strain Compressive Strength of Columnar-Grained and Granular-Snow Ice

Frederking

¹

1977

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/npsi/ctrl?lang=en http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?lang=fr Access and use of this website and the material on it are subject to the Terms and Conditions set forth at http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=en NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. Glaciology, 18, 80, pp. 505-516, 1977 Plane-strain compressive strength of columnar-grained and granularsnow ice Frederking, R. M. W. ABSTRACT. An ice cover impinging on a long straight structure is assumed to be under a condition of plane strain. A technique is described for performing plane-strain compression tests, and results are presented for the strain-rate dependence of strength. The plane-strain compressive strength of ice having anisotropic structure (columnar-grained ice) is at least two and a half times the uniaxial compressive strength, whereas the plane-strain compressive strength of ice having an isotropic structure (granular-snow ice) is at most 25% greater than the uniaxial case. The greater plane-strain compressive strength of columnar grained ice when the loading and confining directions are in the plane of the ice cover, can be attributed to its anisotropic structure, which leads to a different failure mechanism for the plane-strain case. Journal ofRisu~B. La rksistance d la compression biaxiale de la glace colomnaire et de la glace de neige. Une plaque de glace, poussant contre une structure longue droite, est supposCe ttre en conditions de compression biaxiale. Une technique est dCcrite pour effectuer des essais de compression aux dkformations biaxiales. Les rksultats sont donnCs sous la forme de la rksistance en compression biaxiale en fonction du taux de dkformation. La rtjistance en compression biaxiale de la glace anisotrope (cristaux colomnaires) est au moins 2,s fois plus grande que la rCsistance en compression uniaxiale. Au contraire. la rPsistancc en compression biaxinle de la glace isotrope (glace de neige) est au plus 25% plus grande quc la rtlsistance en compreqsion uniaxiak.La plus grande rCsistance A la compression biaxiale dc la ~lacc colomnaire, ou 1~s directions de la poussee et de la rCaction sont dans le plan de la plaque de glace, pcut rtre attribuCc A sa structure anisotrope qui se caractkrise par un mode de rupture diffbrent dans lc cas de la comprcasion biaxinle.ZUSAMMENFASSUNG. zweidimensionale Druckfestigkeit von s&;ltnPrmi~crn Eis md Schec-Eir. Bei einer Eisdecke, die gegen eine lange gerade Struktur stosst, wird ein ebcner Vcrformungszusland angenommen. Es wird eine Technik beschrieben, wie dieser ebene Verformungs~urtand crzcugt wid. Es wcrden Ergebnisse mitgeteilt uber die Abhangigkeit der Festigkeit von der Verlormun~gesrhwindigkeit. Die zweidimensionalt: Druckfestigkeit des ...

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Plastic limit analysis with an anisotropic, parabolic yield function

Cited by 27 publications

References 3 publications

Confined compression tests: Outlining the failure envelope of columnar sea ice

Confined compression tests: Outlining the failure envelope of columnar sea ice

A new discontinuous upper bound limit analysis formulation

Plane-Strain Compressive Strength of Columnar-Grained and Granular-Snow Ice

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