Non-linear analysis of composite beams by a displacement approach

Dall’Asta, Andrea; Zona, Alessandro

doi:10.1016/s0045-7949(02)00268-7

Cited by 110 publications

(78 citation statements)

References 3 publications

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“…from which (42) Finally, by differentiating Equations (29) and (27) with respect to and performing some algebraic manipulations (see Appendix A), we obtain, respectively,…”

Section: General Geometric and Materials Nonlinear Theory Including Shmentioning

confidence: 99%

“…Compared to common monolithic beams, composite beams with deformable shear connection raise more challenging modeling and numerical difficulties, e.g., complex distributions of the interface slip and force can develop [29] and special measures are necessary to avoid shear-locking phenomena [30]. Despite some difficulties, three-field mixed elements [23] can be successfully adopted for numerical simulation of the behavior of steel-concrete composite beams, producing accurate global and local results when a proper discretization of the structure is used [31].…”

Section: Finite Element Modeling Of Steel-concrete Composite Frame Stmentioning

confidence: 99%

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Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

Barbato

Zona

Conte

2006

Numerical Meth Engineering

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SUMMARYThis paper presents a method to compute response sensitivities of finite element models of structures based on a three-field mixed formulation. The methodology is based on the Direct Differentiation Method (DDM), and produces the response sensitivities consistent with the numerical finite element response. The general formulation is specialized to frame finite elements and details related to a newly developed steelconcrete composite frame element are provided. DDM sensitivity results are validated through the forward Finite Difference Method (FDM) using a finite element model of a realistic steel-concrete composite frame subjected to quasi-static and dynamic loading. The finite element model of the structure considered is constructed using both monolithic frame elements and composite frame elements with deformable shear connection based on the three-field mixed formulation. The addition of the analytical sensitivity computation algorithm presented in this paper extends the use of finite elements based on a three-field mixed formulation to applications that require finite element response sensitivities. Such applications include structural reliability analysis, structural optimization, structural identification, and finite element model updating.KEY WORDS: Hu-Washizu functional; three-field mixed finite element formulation; material constitutive parameters; finite element response sensitivity; steel-concrete composite beam.

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“…from which (42) Finally, by differentiating Equations (29) and (27) with respect to and performing some algebraic manipulations (see Appendix A), we obtain, respectively,…”

Section: General Geometric and Materials Nonlinear Theory Including Shmentioning

confidence: 99%

Section: Finite Element Modeling Of Steel-concrete Composite Frame Stmentioning

confidence: 99%

Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

Barbato

Zona

Conte

2006

Numerical Meth Engineering

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“…The reader is referred to (Ansourian 1981) for all details regarding the geometry and material properties. This problem presents all the main difficulties typically encountered in the analysis of steel-concrete composite structures, such as concrete softening in compression, concrete cracking in tension, and high gradients of slip and shear force along the connection (Dall'Asta and Zona 2002Zona , 2004c). The structure is discretized uniformly into 18 10-DOF elements, see Sensitivities of various global and local response quantities to all material parameters were computed using DDM and FFD.…”

Section: Nonlinear Monotonic Quasi-static Testmentioning

confidence: 99%

“…Different finite elements representing composite beams with deformable shear connection have been proposed in the literature (Dall'Asta andZona 2004a, Spacone andEl-Tawil 2004). Despite the difficulties encoun-tered in the nonlinear range of structural behavior, locking-free displacement-based elements (such as the one used in this study) produce accurate global and local results provided that the structure is properly discretized (Dall'Asta and Zona 2002, 2004a, 2004b, 2004c. Locking-free displacement-based elements were used successfully for accurate analysis of steel-concrete composite beam structures even in the case of very high gradients of the interface slip due for example to horizontal concentrated forces produced by external prestressing cables (Dall'Asta and Zona 2004d).…”

Section: Introductionmentioning

confidence: 99%

“…In addition, finite element response sensitivities are invaluable for gaining deeper insight into the effect and relative importance of system and loading parameters in regards to structural response behavior. This paper focuses on materially-nonlinear-only static response sensitivity analysis using displacement-based, locking-free finite elements for composite beams with deformable shear connection (Dall'Asta and Zona 2002).…”

Section: Introductionmentioning

confidence: 99%

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Finite Element Response Sensitivity Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

2005

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The behavior of steel-concrete composite beams is strongly influenced by the type of shear connection between the steel beam and the concrete slab. For accurate analytical predictions, the structural model must account for the interlayer slip between these two components. In numerous engineering applications (e.g., in the fields of structural optimization, structural reliability analysis and finite element model updating), accurate response sensitivity calculations are needed as much as the corresponding response simulation results. This paper focuses on a procedure for response sensitivity analysis of steel-concrete composite structures using displacement-based locking-free frame elements including deformable shear connection with fiber discretization of the cross-section. Realistic cyclic uniaxial constitutive laws are adopted for the steel and concrete materials as well as for the shear connection. The finite element response sensitivity analysis is performed according to the Direct Differentiation Method (DDM).The concrete and shear connection material models as well as the static condensation procedure at the element level are extended for response sensitivity computations. Two steel-concrete composite structures for which experimental test results are available in the literature are used as realistic testbeds for response and response sensitivity analysis. These benchmark structures consist of a non-symmetric, two-span continuous beam subjected to monotonic loading, and a frame sub-assemblage under cyclic loading. The new analytical derivations for response sensi- 3

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Zur Berechnung von Holzstabtragwerken mit mehrlagigen nachgiebigen Verbundquerschnitten

Gollwitzer

Gebbeken

2008

Bautechnik

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Non-linear analysis of composite beams by a displacement approach

Cited by 110 publications

References 3 publications

Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

Finite Element Response Sensitivity Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

Zur Berechnung von Holzstabtragwerken mit mehrlagigen nachgiebigen Verbundquerschnitten

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