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Physics-based and locally updated nonlinear damping model for cracked reinforced concrete beams

2025· article· en· W4415216379 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueComputers & Structures · 2025
Typearticle
Languageen
FieldEngineering
TopicSeismic Performance and Analysis
Canadian institutionsPolytechnique Montréal
FundersCentre National de la Recherche ScientifiqueConseil Régional, Île-de-France
KeywordsNonlinear systemDissipative systemDissipationDamping matrixCrackingComputationFinite element methodStructural systemViscous damping

Abstract

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The structural design increasingly requires considering earthquake excitations even in low-seismic risk areas, particularly for critical infrastructures, such as nuclear ones. Sophisticated models are required to characterise the structural behaviour under low seismic excitations. In the case of reinforced concrete structures, nonlinear material models are considered to characterise some energy dissipative phenomena such as (i) damage due to cracking or (ii) friction of cracked surfaces. However, more than the amount of energy dissipated by these nonlinear models are required to accurately represent the physical structural dynamic responses. That is why viscous damping is generally added to dissipate the excess energy. Numerous damping models are proposed in the literature. However, their principal drawback is their need for the representativeness of physical dissipative phenomena. So, this paper proposes a viscous damping model based on such phenomena to dissipate the energy not represented through the nonlinear material model. The proposed strategy is to update the damping matrix at the element level using the intensity of nonlinearities in each element. Three local variables are compared in the paper: one variable associated to damage, another associated with friction and a damage index computed from the secant elemental rigidity. Dynamic nonlinear computations are performed with the proposed locally updated damping matrices. The results are compared with experimental data, when available, and with Rayleigh-type damping formulations classically used in engineering. As a result, it is observed that all damping formulations properly characterise the global response of the studied reinforced concrete beam. However, the use of the proposed formulations allows better representativeness of local dissipative phenomena and adds a physical meaning to the damping model. • Proposition of a locally updated damping model based on internal variables for nonlinear dynamic computations • Different local data are used to update the damping models linked to damage and friction in concrete and stresses in steel reinforcements • Dynamic computations are performed with the proposed models on reinforced concrete beams • Comparisons with classical Rayleigh damping show that the local damping models allow a better representation of energy dissipation

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Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.724
Threshold uncertainty score0.697

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.007
GPT teacher head0.227
Teacher spread0.220 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it