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Bio-inspired design and 4D Printing of Multi‐stiffness Wavy Metamaterial Energy Absorbers/Dissipators with Shape Recovery Features

2025· article· en· W4406109054 on OpenAlex

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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueEngineering Structures · 2025
Typearticle
Languageen
FieldEngineering
TopicAdvanced Materials and Mechanics
Canadian institutionsUniversity of Manitoba
FundersEngineering and Physical Sciences Research CouncilNatural Sciences and Engineering Research Council of CanadaLeverhulme TrustUniversity of Manitoba
KeywordsMetamaterialStiffnessMaterials scienceEnergy (signal processing)Material DesignStructural engineeringMechanical engineeringEngineeringComposite materialPhysicsOptoelectronics

Abstract

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This study proposes a four-dimensional (4D) printing design of novel wavy metamaterials for energy absorption/dissipation applications. When designing energy absorbers (EAs), ensuring stability, high energy absorption capacity, and shape memory behavior becomes a pivotal consideration. The conventional re-entrant metamaterial is reformulated by replacing the oblique supports of the unit cells with wavy struts, and various curvatures and arrangements of these supports are analyzed for their impact on the mechanical behavior of the metamaterials. The straight horizontal beams of the lattice metamaterials are replaced with wavy connections with inspiration from the cactus fiber to further enhance the material ductility and strength before and after inner contacts, respectively. A finite element analysis (FEA) simulates the deformation patterns and shows mechanical stress distributions within the structures under quasi-static compression. Following this, the lattice structures are additively manufactured from polylactic acid (PLA) silk ultra to validate the FEA results. A good correlation is observed between the FEA and experiments. From both experiments and simulations, a direct relation between the curvature of the wavy ligaments and the stress values is noticed showing the lower the stiffness and stress concentration with the higher curvature. Due to the dependency of structural stiffness on the curvature of the wavy ligaments, multi-stiffness wavy unit cells containing different curvatures can be combined to introduce a hybrid design containing low and high-stiffness unit cells. Under quasi-static compression, the hybrid design leads to a layer-by-layer yield and corresponding multi-plateau region related to each yield on force-displacement relation. In addition, during lattice deformation, the wavy design facilitates earlier contact points and frictional interactions between the walls. These mechanisms enable stress redistribution across broader surfaces, significantly enhancing energy absorption and dissipation through contact-based mechanisms. Due to these newly introduced energy absorption and dissipation capabilities of the proposed metamaterials, multiple applications of the proposed metamaterials can be considered such as in airplane wings, crash boxes, and bio-protection devices. • Wavy metamaterials inspired by cactus fiber enhance energy dissipation property. • Adjusting cell curvatures causes earlier densification and high inner friction. • Functional graded wavy cell design leads to quasi-zero stiffness behavior. • Hybrid metamaterial design realizes stability under compression. • Fully shape-recoverable behavior was noticed via a heating-cooling process.

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 imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.470
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.005
GPT teacher head0.196
Teacher spread0.190 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it