Micromechanical modeling of smart composite structures
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Bibliographic record
Abstract
Effective elastic, actuation, thermal expansion and hygroscopic expansion coefficients for periodic smart composite structures are derived through the application of asymptotic homogenization models. The actuation coefficients characterize the intrinsic transducer nature of active smart materials that can be used induce strains and stresses in a controlled manner. The pertinent mathematical framework is that of asymptotic homogenization. Differential equations with rapidly oscillating coefficients which govern the behavior of a general anisotropic (composite) material with a regular array of reinforcements and/or actuators are transformed into simpler ones that are characterized by some effective coefficients; it is implicit, of course, that the physical problem based on these effective coefficients should give predictions differing as little as possible from those of the original problem. The governing equations pertaining to a generalized model of a smart structure with non-homogeneous boundary conditions are derived and are shown to differ from those of a corresponding problem with homogeneous boundary conditions by what amounts to a boundary layer solution. The effective properties are determined by means of so-called 'unit cell' problems and calculated for the case of periodic laminates. The use of these effective coefficients is illustrated by means of two- and three-dimensional examples.
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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) | 0.001 | 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 it