Plane stress analysis of magnetoelectric composite and reinforced plates: Micromechanical modeling and application to laminated structures
Bibliographic record
Abstract
A new comprehensive micromechanical model for the analysis of thin smart composite and reinforced piezo‐magneto‐thermo‐elastic plates is developed in the present paper. The model is developed on the basis of asymptotic homogenization utilizing dynamic force and thermal balance and the time‐varying form of Maxwell's equations. Once the governing equations are determined, a set of twenty unit cell problems is extracted from which the effective coefficients of the homogenized structure can be obtained in a closed‐form design‐oriented format. Unlike previous models, it is discovered in this work that the effective coefficients are not constants, but rather functions of time. Consequently, the dependent field variables (mechanical stress, electric and magnetic fields, heat flux, and others) are also functions of time and the homogenized structure exhibits memory‐like behavior. Of particular interest in this work is the development of general expressions pertaining to the so‐called product properties which are manifested in the macroscopic composite plate via the interaction of the different phases but may be absent from some individual constituents of the composite. Examples of product properties are the magnetoelectric, pyroelectric and pyromagnetic coefficients. The developed model however also extracts an interesting new set of product properties relating current density to mechanical deformation, magnetic field and temperature change. It is shown in this paper that other previously derived models can be viewed as particular special cases of the model developed here when electrical conductivity is ignored and all pertinent quantities are time‐averaged by integrating them over the entire time spectrum. Collectively, the results presented here represent a significant refinement of previously established results. The work is illustrated by means of a thin laminated piezo‐magneto‐thermo‐elastic composite plates with orthotropic constituents.
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How this classification was reachedexpand
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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".