Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective
Bibliographic record
Abstract
Chiral metamaterials, lacking centrosymmetry at the unit cell level, exhibit acoustic activity and are promising candidates for elastic‐wave manipulation. For numerical analysis, their complex structures require substantial computational resources, making wave propagation simulations of chiral metamaterials challenging. Well‐known homogenization methods, based on the classical Cauchy continuum, fail to predict acoustic activity in chiral metamaterials. This failure is due to the use of even‐order material property tensors, which only account for centrosymmetric behavior, overlooking the intrinsic chirality and microrotations essential for tailored acoustic responses. In this study, augmented asymptotic homogenization based on couple‐stress theory (CST) is employed. The governing partial differential equations involve second‐ and fourth‐order spatial derivatives of displacements. Herein, their solution is demonstrated both analytically in a closed form for the low‐frequency range and numerically using COMSOL Multiphysics, employing the equation‐based module. The homogenized results are verified by comparing with band diagram and polarization rotation analysis results derived from conducting a computationally expensive detailed modelling. The analytical and numerical results are closely aligned with the predictions of the detailed modelling in the low‐frequency domain, indicating that asymptotic homogenization with CST offers an efficient and accurate method for predicting the acoustic activity of rationally designed chiral metamaterials.
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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 | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 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".