A generalized Timoshenko beam with embedded rotation discontinuity

Bitar, Ibrahim; Kotronis, Panagiotis; Benkemoun, Nathan; Grange, Stéphane

doi:10.1016/j.finel.2018.07.002

Cited by 20 publications

(12 citation statements)

References 72 publications

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“…A study of literature [25][26][27][28][29] indicates that many researchers who are dealing with flexural problems of thick homogeneous isotropic beams used generally refined shear deformation theories. For this case, three theories of beams are considered: the classical beam theory CBT (Bernoulli beam theory), the shear deformation theory [26,27] (Timoshenko beam theory) and a higher order shear deformation theory (Levinson beam theory) [28,29]. Classical beam theory is the most widely model used and is founded on assumptions which are the plane sections still remain plane and perpendicular to the longitudinal axis of the beam after deformations.…”

Section: Elastic Phasementioning

confidence: 99%

Experimental determination of GFRC tensile parameters from three-point bending tests using an analytical damage model

Loukil

Hassine²,

Limam³

et al. 2019

Construction and Building Materials

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Glass-fiber-reinforced concrete (GFRC) has been emerging as a widely used construction material that is suitable for many structural elements and particularly flat slabs. This paper presents mix design proportions of GFRC with 0%, 2% and 3% weight fractions of fibers and experimental tests including the 3-point bending tests (NT 21.123 (NF P18-407)) which are usually used in practice. These tests provide indirect information on tensile behavior. They are completed by an identification of the tensile behavior made by inverse analysis to obtain it from their bending response. For this purpose, an analytical damage model is developed to obtain bending moment-curvature constitutive behavior. The deduction of load-deflection relationship is established using different beam theories. It is shown that the classical beam theory is sufficient to estimate the behavior of short beams having a span to height ratio equal to 3 according to NT 21.123 recommendations. Finally, the developed model is applied in order to determine ultimate bending moment capacity as function of GFRC flat slab and beam thickness.

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Section: Elastic Phasementioning

confidence: 99%

Experimental determination of GFRC tensile parameters from three-point bending tests using an analytical damage model

Loukil

Hassine²,

Limam³

et al. 2019

Construction and Building Materials

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“…Eq. (8) satisfy all the necessary properties of a shape function [37,43,44]. The above modification helps to determine the enhancement functions of the multifiber Timoshenko FCQ beam element (see Section 2.3) and has no influence on the performance of the FCQ formulation [23,42].…”

Section: Enhanced Multifiber Timoshenko Full-cubic-quadratic Beammentioning

confidence: 99%

“…We propose hereafter a way to adapt the SDA for beams (see [22,[28][29][30][31][32][33][34]37,38]) for the higher order multifiber Timoshenko beam introduced in [23].…”

Section: Fiber Kinematic Enhancementmentioning

confidence: 99%

“…The material behaviour at the discontinuity is characterized by a generalized law, linking for example the bending moment and the rotational jump, which allows capturing the released fracture energy [28][29][30][31][32][33][34][35][36]. A generalized higher order Timoshenko beam with embedded rotation discontinuity has been recently presented by the authors of this article in [37].…”

Section: Introductionmentioning

confidence: 99%

“…The enhancement functions G v associated with virtual discontinuities are not necessarily equal to G r associated with the real discontinuities (see for example [37]). Actually, real discontinuities are interpolated following kinematic considerations (see Section 2.2) while virtual discontinuities are interpolated following static considerations (see Section 2.4).…”

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A multifiber Timoshenko beam with embedded discontinuities

Benkemoun

Bitar

Grange

2019

Engineering Fracture Mechanics

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An enhanced high order multifiber Timoshenko beam is introduced to simulate structural behavior up to failure. The beam is displacement based and geometrically linear, its section can be of arbitrary shape and a local constitutive law is assigned to each fiber. The Strong Discontinuity Approach is adopted to enhance the displacement field of the fibers to describe crack openings. The material behaviour at the discontinuity is characterized by a linear cohesive law linking the axial stress and the displacement jump. The variational formulation is presented in the context of the incompatible modes method and details are given on the corresponding computational procedure and the numerical integration of the constitutive laws. The simulation of the non linear behavior of a cantilever beam structure and of a reinforced concrete frame are provided to illustrate the performance of the novel enhanced high order multifiber Timoshenko beam.

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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 generalized Timoshenko beam with embedded rotation discontinuity

Cited by 20 publications

References 72 publications

Experimental determination of GFRC tensile parameters from three-point bending tests using an analytical damage model

Experimental determination of GFRC tensile parameters from three-point bending tests using an analytical damage model

A multifiber Timoshenko beam with embedded discontinuities

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

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