{"id":"a6f2e940-5223-4391-bfdf-1674af290fe8","arxiv_id":"2607.01092","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":7.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Fully woven fabric phononic crystals with copper inclusions exhibit phononic bandgaps and higher-order topological edge and corner states for passive vibration control.","lead":"Woven fabrics can be turned into phononic crystals by double-weaving stiff copper threads into soft cotton to create periodic lattices that block specific vibration frequencies. This offers a route to flexible, passive layers for vibration filtering and waveguiding using existing textile methods.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.3","headline":"Accuracy of multiscale homogenization for out-of-plane wave propagation in hierarchical weaves is the least-secured step in the central claim.","rationale":"The reader’s weakest assumption is precisely the load-bearing modeling step. Because the review was performed on the abstract alone, the absence of any reported validation of the homogenization step keeps the correctness risk high and the verdict UNVERDICTED. No stronger internal inconsistency is visible from the given material.","tokens_in":1712,"tokens_out":347,"duration_ms":17970,"concrete_test":"Recompute the dispersion diagram and transmission spectrum for the reported copper-cotton unit cell using a direct 3-D finite-element discretization of the full weave geometry (no homogenization) at the same mesh density used for the macroscale model; if the bandgap edges differ by more than 15 % or the gap closes, the multiscale predictions are unreliable.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The strongest claim requires that the multiscale framework (homogenization of weave blocks followed by effective-property macroscale model) correctly predicts the phononic bandgap and topological states. This holds only if scale separation is valid and the homogenized stiffness/density tensors reproduce the actual dispersion for out-of-plane bending waves at the frequencies where the copper-cotton contrast is supposed to open the gap. In woven fabrics, local yarn bending, frictional contacts, and finite weave periodicity can violate the assumptions underlying standard homogenization, especially for finite-size samples. The abstract states that the framework “enables computationally efficient design” and that simulations confirm the bandgap, but supplies no quantitative check (e.g., comparison of homogenized vs. fully resolved unit-cell dispersion or transmission spectra).","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript claims that double-woven fabrics integrating soft cotton with stiff copper inclusions can be engineered as phononic crystals and higher-order topological insulators. A multiscale framework (homogenization of weave blocks plus effective-property macroscale model) is used to design periodic lattices that open a bandgap for out-of-plane vibrations; simulations and experiments on finite samples are said to confirm the gap (absent in pure cotton controls) together with in-gap edge states and localized corner states.","tokens_in":1873,"tokens_out":457,"duration_ms":22005,"significance":"If the central claims hold, the work would demonstrate a scalable, textile-based route to passive elastic wave control and topological waveguiding without microfabrication. Experimental realization of both a bandgap and higher-order topological states in a fully woven platform would be a notable bridge between metamaterials and fabric engineering, with direct relevance to wearable sensing and vibration mitigation.","major_comments":[{"comment":"Modeling framework (described in the abstract and presumably §3–4): the central claim that the homogenized effective stiffness/density tensors correctly predict the out-of-plane bandgap and topological states rests on the validity of scale separation and the absence of local yarn-bending or contact effects. No quantitative benchmark is supplied comparing the homogenized dispersion or transmission spectra against a fully resolved unit-cell finite-element calculation at the relevant frequencies; without this check the experimental confirmation cannot be unambiguously attributed to the designed bandgap rather than to unmodeled hierarchical mechanics.","section":"Modeling framework / abstract"},{"comment":"Experimental validation (abstract and results section): while a pronounced bandgap is reported for the copper-cotton fabric versus no suppression in pure cotton, the manuscript supplies no error bars, repeatability statistics, or direct comparison of measured transmission spectra against the homogenized-model prediction. This leaves open whether the observed suppression quantitatively matches the multiscale prediction or arises from other damping or boundary effects.","section":"Results / experiments"}],"minor_comments":[{"comment":"Notation for the effective tensors and weave-block homogenization should be defined explicitly with reference to the underlying constitutive assumptions.","section":"Modeling"}],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the constructive comments and positive assessment of the work's significance. Below we respond point by point to the major comments and indicate the revisions we will make.","responses":[{"response":"We agree that an explicit quantitative benchmark between the homogenized model and a fully resolved unit-cell finite-element calculation would strengthen the justification of the scale-separation assumption. In the revised manuscript we will add this comparison, presenting dispersion relations obtained from both the homogenized effective-medium model and a detailed yarn-resolved finite-element discretization of the weave unit cell over the frequency range of interest. This will demonstrate that local yarn-bending and contact nonlinearities remain negligible at the relevant wavelengths and that the bandgap and topological features are indeed captured by the multiscale framework.","revision_made":"yes","referee_comment":"[Modeling framework / abstract] Modeling framework (described in the abstract and presumably §3–4): the central claim that the homogenized effective stiffness/density tensors correctly predict the out-of-plane bandgap and topological states rests on the validity of scale separation and the absence of local yarn-bending or contact effects. No quantitative benchmark is supplied comparing the homogenized dispersion or transmission spectra against a fully resolved unit-cell finite-element calculation at the relevant frequencies; without this check the experimental confirmation cannot be unambiguously attributed to the designed bandgap rather than to unmodeled hierarchical mechanics."},{"response":"We acknowledge that the experimental section would benefit from more complete statistical reporting and direct model-experiment comparison. In the revision we will include error bars derived from repeated measurements on multiple independently fabricated samples, report the number of repeats and standard deviations, and overlay the measured transmission spectra with the predictions of the homogenized model to allow quantitative assessment of agreement within the bandgap and at the edge/corner-state frequencies.","revision_made":"yes","referee_comment":"[Results / experiments] Experimental validation (abstract and results section): while a pronounced bandgap is reported for the copper-cotton fabric versus no suppression in pure cotton, the manuscript supplies no error bars, repeatability statistics, or direct comparison of measured transmission spectra against the homogenized-model prediction. This leaves open whether the observed suppression quantitatively matches the multiscale prediction or arises from other damping or boundary effects."}],"tokens_in":1388,"tokens_out":474,"duration_ms":17762,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"This paper shows that double weaving can turn ordinary fabrics into phononic crystals by placing stiff copper inclusions in a soft cotton matrix, producing a clear out-of-plane bandgap and, in a second design, in-gap edge and corner states of a higher-order topological insulator.\n\nThe new element is the fabrication platform itself. Prior phononic work has used rigid or additively manufactured lattices; here the periodicity and material contrast come directly from textile weaving patterns. The authors demonstrate a finite fabric sample with a pronounced bandgap that a pure cotton control lacks, and they extend the same approach to realize localized corner states. That combination of a practical textile route and topological features is not covered by the cited literature.\n\nThe modeling uses standard homogenization of weave blocks followed by an effective-property macroscale model. This is presented as enabling efficient design. The experimental transmission data for the bandgap supplies independent support for the central claim, which strengthens the result.\n\nThe soft spot is the homogenization step for bending waves. In woven structures, yarn bending, frictional contacts, and the finite size of the weave repeat can violate the scale-separation assumptions that underpin the effective tensors. The abstract gives no quantitative check, such as a comparison of homogenized dispersion against a fully resolved unit-cell calculation or measured transmission spectra. If those checks exist in the full text they are not highlighted, so the design tool’s accuracy remains harder to judge than the experimental outcome.\n\nThe work is aimed at researchers in metamaterials and vibration control who want flexible, textile-based layers for robotics, sensing, or noise mitigation. A reader focused on novel fabrication methods will find the weaving platform useful.\n\nIt should go to peer review. The experimental demonstration of the bandgap and topological states is concrete enough to merit referee attention, even if the modeling validation needs tightening.","headline":"Weaving copper into cotton fabrics creates phononic bandgaps and higher-order topological states with experimental backing, though the multiscale homogenization for out-of-plane waves rests on assumptions that lack detailed validation.","tokens_in":2344,"tokens_out":445,"would_cite":false,"duration_ms":21603,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Double-woven fabrics with periodic copper inclusions form phononic crystals that suppress out-of-plane vibrations.","keywords":["phononic crystals","fabric metamaterials","vibration control","topological insulators","woven structures","elastic bandgaps","passive filtering"],"falsifier":"Transmission measurements on the woven copper-cotton crystal that show out-of-plane vibration amplitudes inside the predicted bandgap range comparable to those in a uniform cotton weave would falsify the bandgap claim.","tokens_in":2629,"feed_emoji":"🧵","tokens_out":655,"duration_ms":22512,"temperature":0.7,"pith_summary":"The paper establishes that traditional weaving patterns can be repurposed to create phononic crystals in everyday fabrics for passive control of elastic vibrations. By embedding stiff copper wires periodically into a soft cotton base through double weaving, the authors engineer dispersion relations that open frequency bandgaps. Simulations and tests on finite samples show clear vibration suppression in the bandgap range, while an identical all-cotton weave transmits those frequencies freely. The same weaving platform also produces a higher-order topological insulator fabric that hosts protected edge and corner states. This approach matters because it turns flexible, manufacturable textiles into functional wave-manipulating layers without extra components.","feed_headline":"Woven copper-cotton fabric creates vibration bandgap","feed_subtitle":"Double weaving with periodic stiff inclusions suppresses out-of-plane waves in tests, unlike uniform cotton, and also yields topological edg","key_machinery":"Double-woven periodic lattice of soft cotton with stiff copper inclusions, whose wave behavior is predicted by multiscale homogenization of weave blocks into effective macroscale properties.","core_discovery":"Using double weaving to integrate periodic stiff copper inclusions within a soft cotton weave creates a fabric phononic crystal lattice whose dispersion supports a pronounced bandgap for out-of-plane vibrations. A multiscale model that homogenizes weave blocks into effective macroscale properties guides the design. Experiments on finite crystals confirm the bandgap through transmission measurements, while equivalent uniform cotton fabrics show no suppression. The platform further yields a fully woven higher-order topological insulator exhibiting in-gap edge states and localized corner states.","pith_inferences":["Existing textile looms could produce these crystals at large scale without new machinery.","Vibration-based sensing layers in wearables or soft robotics might emerge by combining the bandgap filtering with embedded detectors.","Similar weaving contrasts could be explored for other wave types, such as acoustic or electromagnetic, by substituting different fiber materials."],"forward_implications":["Phononic bandgaps and topological states can be encoded directly in fabrics through chosen weaving patterns and material contrast.","Passive vibration filtering becomes possible in lightweight, flexible layers suitable for integration into clothing or surfaces.","Edge and corner states in the woven topological insulator enable localized waveguiding without additional fabrication steps.","The multiscale modeling framework supports computationally efficient design of new fabric-based wave devices."],"fun_headline_variants":["Double-woven copper-cotton fabric forms phononic vibration bandgap","Periodic copper inclusions create bandgap in woven cotton lattice","Fabric phononic crystal from double weaving suppresses vibrations","Woven copper-cotton yields out-of-plane phononic bandgap in tests"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The hierarchical weave structure allows accurate wave prediction by first homogenizing small blocks and then using those effective properties at the larger scale.","fun_headline_variants_meta":{"raw":{"variants":["Double-woven copper-cotton fabric forms phononic vibration bandgap","Periodic copper inclusions create bandgap in woven cotton lattice","Fabric phononic crystal from double weaving suppresses vibrations","Woven copper-cotton yields out-of-plane phononic bandgap in tests"]},"model":"grok-4.3","cost_usd":0.004025,"raw_usage":{"total_tokens":1972,"prompt_tokens":670,"num_sources_used":0,"completion_tokens":65,"cost_in_usd_ticks":40253000,"prompt_tokens_details":{"text_tokens":670,"audio_tokens":0,"image_tokens":0,"cached_tokens":64},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":1237,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":670,"tokens_out":65,"duration_ms":12373,"temperature":1.0,"reasoning_tokens":1237,"cache_read_input_tokens":64,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-02T01:32:42.053456+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"Transmission measurements on the woven copper-cotton crystal that show out-of-plane vibration amplitudes inside the predicted bandgap range comparable to those in a uniform cotton weave would falsify the bandgap claim.","supporting_citations":[],"review_version":1}