An Eulerian formulation for large deformations of elastically isotropic elastic-viscoplastic membranes
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Bibliographic record
Abstract
Typical models of membrane-like structures use a Lagrangian formulation of a hyperelastic membrane with a specified reference configuration.Here, an Eulerian formulation is proposed for modeling elastically isotropic, elastic-viscoplastic membranes.The membrane is modeled as a composite of an elastic and an inelastic component with evolution equations for elastic deformation tensors for each component.The model includes hyperelastic response as a special case and has a smooth elastic-inelastic transition capable of modeling both rate-independent and rate-dependent inelastic response.Strongly objective numerical algorithms are developed for integrating the proposed evolution equations.Also, an example of an initially flat circular membrane loaded by a follower pressure is considered to examine: rateindependent elastic and elastic-plastic responses, as well as rate-dependent inelastic relaxation effects.
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it