A Timoshenko finite element straight beam with internal degrees of freedom

Caillerie, Denis; Kotronis, Panagiotis; Cybulski, Robert

doi:10.1002/nag.2367

Cited by 17 publications

(32 citation statements)

References 13 publications

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“…Caillerie & al. [8] proved that one FCQ element is able to predict the exact tip displacements for any complex loading (shear/flexion) submitted to an homogeneous elastic beam (see also [9]). The nodal displacement field takes the following form,…”

Section: Displacement-based Finite Element Formulationmentioning

confidence: 94%

“…In this paragraph, the new displacementbased Full Cubic Quadratic Finite Element FCQ is presented [8]. Cubic functions are used to interpolate the transverse displacements and quadratic for the rotations.…”

Section: Displacement-based Finite Element Formulationmentioning

confidence: 99%

“…The new displacement-based Finite Element formulation proposed by [8] is used. This formulation uses shape functions of order three (3) for the transverse displacements, and two (2) for the rotations and an additional internal node.…”

Section: Introductionmentioning

confidence: 99%

“…In the next section the governing equations of the multi-fiber Timoshenko beam with the corresponding interpolation functions describing the new based-displacement Finite Element [8] are briefly recalled. In section 3, we present shortly the behavior laws for continuum and cohesive materials.…”

Section: Introductionmentioning

confidence: 99%

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A novel multi-fiber Timoshenko beam finite element formulation with embedded discontinuities to describe reinforced concrete failure under static loadings

Bitar¹,

Benkemoun²,

Kotronis³

et al. 2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Abstract. A novel multi-fiber beam finite element formulation based on the Timoshenko model is proposed in this paper to simulate failure of reinforced concrete structural elements subjected to static monotonic loadings. The beam section can have an arbitrary shape and each fiber has a local constitutive law representing a specific material. The embedded discontinuity concept is adopted to enrich the displacement field of the fibers in order to describe the opening of cracks and the development of plastic hinges. The material behavior at the discontinuity is characterized by a cohesive law linking the axial stress and the displacement jump by a linear relation, which allows capturing the released fracture energy. The variational formulation is presented in the context of the incompatible modes method. Moreover, the additional modes are statically condensed at the element level. The corresponding computational procedure is detailed in the paper. Several numerical applications and general remarks are finally provided to illustrate the performance of the proposed element.

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Section: Displacement-based Finite Element Formulationmentioning

confidence: 94%

Section: Displacement-based Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel multi-fiber Timoshenko beam finite element formulation with embedded discontinuities to describe reinforced concrete failure under static loadings

Bitar¹,

Benkemoun²,

Kotronis³

et al. 2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

Self Cite

View full text Add to dashboard Cite

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“…Thus, the solution will be exact in elasticity but approximated after initiation of the damage. Recently, a new multifiber beam element, with internal degrees of freedom, has been developed by [7] and has been chosen to be introduced in our model.…”

Section: Use Of a New Timoshenko Element With Internal Degrees Of Frementioning

confidence: 99%

Enhancement of Multifiber Beam Elements in the Case of Reinforced Concrete Structures for Taking Into Account the Lateral Confinement of Concrete Due to Stirrup

Khoder¹,

Grange²,

Sieffert³

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. To assess the seismic vulnerability of existing reinforced concrete structures, a large number of degrees of freedom is involved. Consequently, efficient numerical tools are required. In the case of slender elements, enhanced beam elements have been developed to try to introduce shear effects, but in these models, the transverse steel is sometimes taken into consideration with approximated manner or often not at all. However, as shown by some experimental tests, the amount of transverse reinforcement triggers significantly the behavior of beam elements, especially under cyclic loading. Thus, the main goal of this work is to investigate solutions for an enhanced multifiber beam element accounting for vertical stretching of the cross section, occurring due to the presence of transverse reinforcement. The efficiency of the proposed modeling strategies is tested with results obtained from tension and flexure tests conducted on an elastic linear material.

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Main Achievements of the Multidisciplinary SINAPS@ Research Project: Towards an Integrated Approach to Perform Seismic Safety Analysis of Nuclear Facilities

Berge‐Thierry¹,

Voldoire²,

López-Caballero³

et al. 2019

Pure Appl. Geophys.

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This contribution provides an overview of the SINAPS@ French research project and its main achievements. SINAPS@ stands for ''Earthquake and Nuclear Facility: Improving and Sustaining Safety'', and it has gathered the broad research community together to propose an innovative seismic safety analysis for nuclear facilities. This five-year project was funded by the French government after the 2011 Japanese Tohoku large earthquake and associated tsunami that caused a major accident at the Fukushima Daïchi nuclear power plant. Soon after this disaster, the international community involved in nuclear safety questioned the current methodologies used to define and to account for seismic loadings for nuclear facilities during the design and periodic assessment review phases. Within this framework, worldwide nuclear authorities asked nuclear licensees to perform 'stress tests' to estimate the capacity of their existing facilities for sustaining extreme seismic motions. As an introduction, the French nuclear regulatory framework is presented here, to emphasize the key issues and the scientific challenges. An analysis of the current French practices and the need to better assess the seismic margin of nuclear facilities contributed to the shaping of the scientific roadmap of SINAPS@. SINAPS@ was aimed at conducting a continuous analysis of completeness and gaps in databases (for all data types, including geology, seismology, site characterization, materials), of reliability or deficiency of models available to describe physical phenomena (i.e., prediction of seismic motion, site effects, soil and structure interactions, linear and nonlinear wave propagation, material constitutive laws in the nonlinear domain for structural analysis), and of the relevance or weakness of methodologies used for seismic safety assessment. This critical analysis that confronts the methods (either deterministic or probabilistic) and the available data in terms of the international state of the art systematically addresses the uncertainty issues. We present the key results achieved in SINAPS@ at each step of the full seismic analysis, with a focus on uncertainty identification, quantification, and propagation. The main lessons learned from SINAPS@ are highlighted. SINAPS@ promotes an innovative integrated approach that is consistent with Guidelines #22, as recently published by the French Nuclear Safety Authority (Guidelines ASN #22 2017), and opens the perspectives to improve current French practice.

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A Timoshenko finite element straight beam with internal degrees of freedom

Abstract: International audienc

Cited by 17 publications

References 13 publications

A novel multi-fiber Timoshenko beam finite element formulation with embedded discontinuities to describe reinforced concrete failure under static loadings

A novel multi-fiber Timoshenko beam finite element formulation with embedded discontinuities to describe reinforced concrete failure under static loadings

Enhancement of Multifiber Beam Elements in the Case of Reinforced Concrete Structures for Taking Into Account the Lateral Confinement of Concrete Due to Stirrup

Main Achievements of the Multidisciplinary SINAPS@ Research Project: Towards an Integrated Approach to Perform Seismic Safety Analysis of Nuclear Facilities

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