Inelastic Stress Analysis of Curved Beams with Bending and Shear Coupling
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.
Bibliographic record
Abstract
The inelastic stress analysis of curved beams under pure bending has been extensively studied in the past few years. Nevertheless, the analysis for those under end shear, or mo ment and shear coupling, are not yet available. In this paper, the analytical model for inelastic stress analysis of symmetrical curved beams with bending and shear coupling is derived. This problem arises from the investigation of the inelastic behaviour of an in-p lane flexu ral damper consisting of a circular arch with two straight arms. In -plane lateral forces applying to the end of the arm makes the arch a circular cantilever subjected to mo ment and shear simultaneously. Extended fro m the classical theory of elasticity, the proposed computational model adopts the generalized Hook's law in plane stress with consideration of the plastic strains defined by the total deformation theory. The swift -type nonlinear hardening law is considered for the inelastic constitutive relations of the material with its behaviour governed by von Mises' yield criterion. With the introduction of a certain form of Airy stress function that satisfies the compatibility equation in polar coordinates, the strain -compatib ility equation with the corresponding boundary conditions can be simplified as a second -order ordinary differential equation of a properly defined generalized stress function dependent on radius of the wide curved beam. Solution of this ODE equation becomes a boundary -valued problem that can be solved numerically in both elastic and inelastic stages. To validate the proposed mode l, a p reliminary n umerical study of the stress analysis in the elastic stage has been conducted. Encouragingly, the numerical solution agrees perfectly with its analytical counterpart given by classical theory of elasticity.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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