Use of Hybrid Mixed Finite Element Models for the Characterisation of the Boundary Layer in Reissner-Mindlin Plates

Pereira, E. B. R.; Almeida, J. P. Moitinho de

doi:10.4203/csets.1.5

Cited by 4 publications

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“…6 is analyzed. As soft supports have been considered, the Boundary-Layer effect is supposed to appear [4]. This phenomenon is usually associated with a sudden variation of the shear stress when compensating for the fact that the torsional moment vanishes at the boundaries.…”

Section: Simply Supported Rectangular Platementioning

confidence: 98%

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Implementation of an hybrid-mixed stress model based on the use of wavelets

Castro¹,

Barbosa

2006

Computers & Structures

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Section: Simply Supported Rectangular Platementioning

confidence: 98%

“…The use of hybrid-mixed formulations for the analysis of plane structures has been presented and discussed in recent years [2][3][4][5]. The new development reported here corresponds to the use of the systems of wavelets defined on the interval [6] as approximation functions.…”

Section: Introductionmentioning

confidence: 98%

Implementation of an hybrid-mixed stress model based on the use of wavelets

Castro¹,

Barbosa

2006

Computers & Structures

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“…They have been applied in the solution of two-and threedimensional elastic and elastoplastic problems and to thin, thick and higher-order plate bending problems (Pereira and Freitas, 1996a), with particular emphasis on modelling of interlaminar stresses in composites and of boundary layer effects (Pereira, 1993;Pereira and Almeida, 1998).…”

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confidence: 99%

Non-conventional formulations for the finite element method

Freitas¹,

Almeida²,

Pereira³

1999

Computational Mechanics

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This paper reports on hybrid formulations being developed by the Structural Analysis Research Group of Instituto Superior Te Âcnico. Three alternative sets of hybrid ®nite element formulations are presented. They are termed hybrid-mixed, hybrid and hybrid-Trefftz and differ essentially on the ®eld conditions that the approximation functions are constrained to satisfy locally. Two models, namely the displacement and the stress models, are obtained for each formulation depending on whether the tractions or the boundary displacements are the ®eld chosen to implement inter-element continuity. Because they are derived from a strict hybrid approach released from the conventional node conformity concepts, these formulations allow different ®elds to be independently approximated, within certain consistency criteria, and enhance the use of a wide range of approximation functions. For simplicity and objectivity, the description of the approach followed in the derivation of the alternative formulations and models is based on the elementary linear elastostatic problem of structural analysis. Their fundamental properties are identi®ed and their patterns of convergence are analysed and compared. IntroductionIt is generally accepted that the hybrid formulations are one of the most accurate variants of the ®nite element method. However, three decades after the pioneering work of Pian (1967) they are yet to succeed in challenging the dominant position of single-®eld based elements as the standard tool in ®nite element computations. The situation is rather similar in the competition between equilibrium and compatibility elements, launched by de Veubeke (1965) also in the mid-sixties. The dominance of the conforming displacement elements is still absolute despite their known limitations, particularly in what concerns accuracy and safety in stress estimates.Different reasons are raised to explain these facts, namely added conceptual complexities, dif®culties in establishing appropriate approximations bases and higher computational costs. There is, however, a renewed research interest on stress elements and on hybrid and mixed ®nite element formulations, consequent upon the recent developments in computer hardware, in particular in what concerns parallel processing, and the motivation to model increasingly more complex structural problems. If this revival in the interest on the hybrid and mixed formulations is to succeed, it is essential to accept them as alternative concepts that should be developed per se, instead of insisting in establishing the basis for their development by mimicking the conventional displacement method.This is the approach adopted by the authors in the development of the hybrid and mixed ®nite element formulations reported in the present paper. The four basic aspects in this approach (Freitas, 1989a) are the following: ± to depart from the relevant ®rst principles of mechanics; ± to use nodeless, hierarchical approximation functions; ± to enforce energetically consistent de®nitions for the discrete generalised...

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Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Mackerle

2000

Engineering Computations

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A bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given. The bibliography at the end of the paper contains 1,726 references to papers, conference proceedings and theses/dissertations dealing with the analysis of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that were published in 1996‐1999.

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Use of Hybrid Mixed Finite Element Models for the Characterisation of the Boundary Layer in Reissner-Mindlin Plates

Cited by 4 publications

References 0 publications

Implementation of an hybrid-mixed stress model based on the use of wavelets

Implementation of an hybrid-mixed stress model based on the use of wavelets

Non-conventional formulations for the finite element method

Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

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