Development of Isoparametric Shell Elements with Variable Edge Order and Movable Nodes in the Nonlinear Hybrid Simulation of Reinforced Concrete Structures
Bibliographic record
Abstract
In this study, nonlinear isoparametric shell elements with variable edge order and moving nodes from CBAL4M to CBAL12M were developed and integrated into FINITE. Specific mapping and surfaces for two‐dimensional isoparametric shell elements, shape functions, and their derivatives are presented. The advantage of the developed shell element is that it can represent not only the smeared reinforcement on the wall and slab but also the discrete special reinforcement that is important for crack propagation in the nonlinear simulation of RC structures. With the advantage of movable nodes, the discrete reinforcement can be effectively covered and the position of the discrete reinforcement can be determined. When modelling reinforced concrete structures dominated by shear walls, the use of variable edge orders at the slab‐wall interfaces where high stresses or forces are expected reduces the calculation time and capacity by using an optimal number of nodes for hybrid modelling. Nonlinearity is considered only in the form of material nonlinearity with a stress‐strain curve, tension stiffening, and cracking including crack rotation. The analytical model is validated by comparing the results at the element level of the Vecchio and Collins test panels at the University of Toronto and at the structural level of the five‐story shear wall building with staggered openings at the University of Michigan. Nonlinear hybrid simulations of 2D and 3D models of 2‐story and 5‐story shear wall‐dominated RC buildings are investigated with the developed element considering ultimate load curves, deflection shapes, crack patterns, stress distributions, and 3D effects and force mechanisms. For this purpose, a three‐story scaled test model was constructed and tested to simulate the seismic behavior. The test results are also compared with the analytical results of SAP2000 and the developed nonlinear shell element. The seismic capacity of the test model and the analytical models was similar at 31 tons. The developed element can be effectively used for modelling and nonlinear hybrid simulation of RC buildings and can also be applied to prestressed concrete structures for tendon modelling.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".