Three-field mixed formulation for the non-linear analysis of composite beams with deformable shear connection

Dall’Asta, Andrea; Zona, Alessandro

doi:10.1016/s0168-874x(03)00071-4

Cited by 62 publications

(41 citation statements)

References 14 publications

(38 reference statements)

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“…Substituting Equations (22) in Equations (16), (17) and (19), and recognizing that (23) where denotes the union operator and is the volume of the element "e" in the reference configuration, we obtain the following weak forms of equilibrium, compatibility and constitutive law, respectively:…”

Section: General Geometric and Materials Nonlinear Theory Including Shmentioning

confidence: 99%

“…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%

“…Mixed frame elements are more accurate in nonlinear analysis than displacement-based elements and are a possible alternative to the recently established force-based elements [19]. Examples are available in the recent literature for monolithic beams [19][20][21] and for composite beams with deformable shear connection [22,23]. This paper focuses on the formulation of finite element response sensitivity analysis in the case of a nonlinear three-field mixed approach derived from the Hu-Washizu variational principle, considering both quasistatic and dynamic loadings.…”

Section: Introductionmentioning

confidence: 99%

“…The results of the DDM are validated through the forward Finite Difference Method (FDM) using as application example a realistic steel-concrete composite frame structure subjected to quasi-static and dynamic loading, respectively. Both monolithic frame elements [21] and composite frame elements with deformable shear connection [23] based on the three-field mixed formulation are included in this application example.…”

Section: Introductionmentioning

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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Section: General Geometric and Materials Nonlinear Theory Including Shmentioning

confidence: 99%

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

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…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%

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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New Polyalkynyl Dendrons and Dendrimers: “Click” Chemistry with Azidomethylferrocene and Specific Anion and Cation Electrochemical Sensing Properties of the 1,2,3‐Triazole‐Containing Dendrimers

Camponovo

Ruiz

Cloutet

et al. 2009

Chemistry A European J

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The synthesis and use of the new tris-alkynyl dendrons 2 to 5 are reported, including the Williamson reaction of 5 with 9-iodo (9), 27-iodo (11), and 81-iodo (12) dendritic cores to yield 27-alkynyl (13), 81-alkynyl (14), and 243-alkynyl (15) dendrimers. So-called "click" reactions of these three dendrimers with azidomethylferrocene (20) give 27-ferrocenyl (16), 81-ferrocenyl (17), and 243-ferrocenyl (18) dendrimers. Electrochemical recognition of oxo-anions (H(2)PO(4)(-) and ATP(2-)) and Pd(2+) cation has been compared using the three polyferrocenyl dendrimers. Derivatization of Pt electrodes with the dendrimers for recognition becomes more facile with increasing size of the dendrimer. This first "click" dendrimer bearing 243-ferrocenyl groups is the best one in the series to obtain robust, recyclable modified Pt electrodes, whereas previous "click" ferrocenyl dendrimers have not been suitable for this purpose.

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Three-field mixed formulation for the non-linear analysis of composite beams with deformable shear connection

Cited by 62 publications

References 14 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

New Polyalkynyl Dendrons and Dendrimers: “Click” Chemistry with Azidomethylferrocene and Specific Anion and Cation Electrochemical Sensing Properties of the 1,2,3‐Triazole‐Containing Dendrimers

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