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Mixed Formulation of Nonlinear Beam Finite Element
No full textRecent studies show that beam finite elements that enforce equilibrium rather than compatibility along the element are better suited for the description of the nonlinear behavior of frame elements. This is particularly true for elements that exhibit loss of strength and stiffness under monotonic and cyclic loads. Existing formulations, however, fail to define a consistent way of implementing the force method in the context of imposed kinematic, rather than static, boundary conditions, as is the case for element models in a standard finite element program. This paper derives the general formulation of a beam finite element from a mixed approach which points the way to the consistent numerical implementation of the element state determination in the context of a standard finite element program. The element state determination centers on a new iterative solution algorithm that is based on residual deformations rather than residual forces at the section and element level. Equilibrium is enforced in a strict sense along the element, while the section constitutive relation is satisfied within a specified tolerance when the algorithm converges. The proposed algorithm is general and can be used with any section constitutive relation
Bar finite element with bond-slip for R.C. seismic analysis
No full textA finite element of reinforcing bar embedded in concrete is presented, which models the interaction between the reinforcing steel bar and the bond action exerted by the surrounding concrete over the bar surface. In developing the finite element approximation a flexibility approach is followed, where the steel stress field is discretized. The finite element accounts for material nonlinearities through the constitutive laws of steel and bond. A well tested flexibility-based iterative algorithm is adopted within the element to treat softening behavior induced by bond degradation. Comparisons with experimental results show excellent agreement
Fibre Beam-Column Model for Nonlinear Analysis of R/C Frames. I: Formulation
No full textThis paper presents a fibre beatn-column element for the non-linear static and dynamic analysis of reinforced concrete frames. It is assumed that plane sections remain plane and normal to the longitudinal axis. The effects of shear and bond-slip are, thus, presently neglected. The non-linear hysteretic behaviour of the element derives from the constitutive relations of concrete and reinforcing steel fibres into which each section is divided. The element formulation is flexibility-based and relies on force interpolation functions that strictly satisfy the equilibrium of bending moments and axial force along the element. Since the element does not make use of displacement interpolation functions, an iterative algorithm is needed for the determination of the resisting forces during the element state determination. The proposed algorithm is accurate and stable, even in the presence of strength loss, and is, thus, capable of tracing very well the highly non-linear behaviour of R/C members under cyclic load combinations of bending moment and axial force
Mixed finite element method for beam and frame problems
No full textIn this work we consider solutions for the Euler-Bernoulli and Timoshenko theories of beams in which material behavior may be elastic or inelastic. The formulation relies on the integration of the local constitutive equation over the beam cross section to develop the relations for beam resultants. For this case we include axial, bending and shear effects. This permits consideration in a direct manner of elastic and inelastic behavior with or without shear deformation.
A finite element solution method is presented from a three-field variational form based on an extension of the Hu-Washizu principle to permit inelastic material behavior. The approximation for beams uses equilibrium satisfying axial force and bending moments in each element combined with discontinuous strain approximations. Shear forces are computed as derivative of bending moment and, thus, also satisfy equilibrium. For quasi-static applications no interpolation is needed for the displacement fields, these are merely expressed in terms of nodal values. The development results in a straight forward, variationally consistent formulation which shares all the properties of so-called flexibility methods. Moreover, the approach leads to a shear deformable formulation which is free of locking effects-identical to the behavior of flexibility based elements.
The advantages of the approach are illustrated with a few numerical examples
Response sensitivity for nonlinear beam-column elements
No full textResponse sensitivity is needed for simulation applications such as optimization, reliability, and system identification. The exact response sensitivity of material nonlinear beam-column elements is derived for the displacement- and force-based formulations. For displacement-based beam-column elements the response sensitivity is straightforward to compute because the displacement field is specified along the element. A new approach is presented for computing the response sensitivity of force-based beam-column elements, in which the displacement field is not specified. In this approach, the response sensitivity depends on the derivative of unbalanced section forces because the element displacement field changes with the element state. Example nonlinear static analyses of steel and reinforced concrete structural systems verify the exact response sensitivity for force-based elements using the new approach
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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