Recent developments in the finite element analysis of prestressed concrete reactor vessels

Argyris, John; Faust, Gunter; Szimmat, J.; Warnke, E.P.; Willam, Kaspar

doi:10.1016/0029-5493(74)90088-0

Cited by 186 publications

(120 citation statements)

References 17 publications

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“…Many forms for the function ( ) have been proposed in the literature (see Reference [24] for a historical survey). Here we adopt the form proposed by Gudehus [25] and Argyris et al [26], namely,…”

Section: Yield Surface Plastic Potential Their Derivatives and The mentioning

confidence: 99%

Capturing strain localization in dense sands with random density

Andrade

Borja

2006

Numerical Meth Engineering

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SUMMARYThis paper presents a three-invariant constitutive framework suitable for the numerical analyses of localization instabilities in granular materials exhibiting unstructured random density. A recently proposed elastoplastic model for sands based on critical state plasticity is enhanced with the third stress invariant to capture the difference in the compressive and extensional yield strengths commonly observed in geomaterials undergoing plastic deformation. The new three-invariant constitutive model, similar to its two-invariant predecessor, is capable of accounting for meso-scale inhomogeneities as well as material and geometric nonlinearities. Details regarding the numerical implementation of the model into a fully nonlinear finite element framework are presented and a closed-form expression for the consistent tangent operator, whose spectral form is used in the strain localization analyses, is derived. An algorithm based on the spectral form of the so-called acoustic tensor is proposed to search for the necessary conditions for deformation bands to develop. The aforementioned framework is utilized in a series of boundary-value problems on dense sand specimens whose density fields are modelled as exponentially distributed unstructured random fields to account for the effect of inhomogeneities at the meso-scale and the intrinsic uncertainty associated with them.

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Section: Yield Surface Plastic Potential Their Derivatives and The mentioning

confidence: 99%

Capturing strain localization in dense sands with random density

Andrade

Borja

2006

Numerical Meth Engineering

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“…[25]. However, as recently pointed out by Lin and Bazant [26], this expression does not give a convex curve when the ratio of the radial distances for the tensile and compression meridians in the deviatoric planes becomes too smal1 (less than about 0.777), as required for concrete at small hydrostatic pressures.…”

Section: Loading Surfacementioning

confidence: 83%

Concrete model with normality and sequential identification

Lin

Bažant

Chern

et al. 1987

Computers & Structures

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Abstract-To facilitate numerical finite element analysis, it is desirable to endow the constitutive model with normality, associatedness, continuity, convexity and absence of comers. Although these mathematical conditions represent only crude approximations of the actual behavior of concrete, it is of interest to find the best possible constitutive model which meets these conditons. This is one objective of the present paper. The second objective is to develop a model which permits a. simple id~ntification of ma~erial parameters from test data. The material parameters need. not .be obtained by Simultaneous nonhnear optimization of the fits of all data. Rather, they are obtained In sequence through a preCisely defined procedure which involves solving two systems of linear equations. The model describes no~ only hard~ning but also post-peak softening under various triaxial stress states. The model agrees well With the available basic test data from monotonic loading tests.

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“…The scalar M is the critical stress ratio and can be interpolated between its values M c in compression and M e ¼ mM c in extension as a function of a Lode angle θ and by means of the proposition of Argyris et al (1974) as…”

Section: Mathematical Formulation Of the Modelmentioning

confidence: 99%

Application of an Anisotropic Constitutive Model for Structured Clay to Seismic Slope Stability

Taiebat

Kaynia

Dafalias

2011

J. Geotech. Geoenviron. Eng.

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The anisotropic nature of response and degradation of shear strength from the undisturbed condition to the remolded state are two fundamental and challenging aspects of response in some clay deposits. This paper presents a comprehensive, yet flexible and practical, version of the SANICLAY model and its application to a seismic slope-stability problem. The model is based on the well-known isotropic modified Cam-Clay model with two additional mechanisms to account for anisotropy and destructuration. The model has been efficiently implemented in a three-dimensional (3D) continuum, coupled, dynamic, finite-difference program. The program has been used to analyze the seismic response of clay slopes to gain better insight into the role of the previously mentioned parameters in real applications. Different aspects of the model, including anisotropy and destructuration, and their effects on the earthquake-induced strains and deformations in the slope have then been explored and presented. By providing a link between the model parameters and the soil's undrained shear strength, which is a well-known engineering parameter, a benchmark comparison has been made between the results of the present advanced model and those of an engineering approach. To this end, a modified Newmark sliding-block analysis has been used, in which the yield acceleration is gradually reduced as block sliding progresses during the earthquake. It is observed that although the two analyses display the same trends, the modified Newmark sliding-block method provides conservative results compared with those obtained from the developed simulation model.

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Recent developments in the finite element analysis of prestressed concrete reactor vessels

Cited by 186 publications

References 17 publications

Capturing strain localization in dense sands with random density

Capturing strain localization in dense sands with random density

Concrete model with normality and sequential identification

Application of an Anisotropic Constitutive Model for Structured Clay to Seismic Slope Stability

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